Quizbank/Electricity and Magnetism (calculus based)/c12
calcPhyEMq/c12 ID153287923206 (Study guide)
Exams: A0 A1 A2 B0 B1 B2 C0 C1 C2 D0 D1 D2 E0 E1 E2 F0 F1 F2 G0 G1 G2 H0 H1 H2 I0 I1 I2 J0 J1 J2 K0 K1 K2 L0 L1 L2 M0 M1 M2 N0 N1 N2 O0 O1 O2 P0 P1 P2 Q0 Q1 Q2 R0 R1 R2 S0 S1 S2 T0 T1 T2 U0 U1 U2 V0 V1 V2 W0 W1 W2 X0 X1 X2 Y0 Y1 Y2 Z0 Z1 Z2
Answers: A0 A1 A2 B0 B1 B2 C0 C1 C2 D0 D1 D2 E0 E1 E2 F0 F1 F2 G0 G1 G2 H0 H1 H2 I0 I1 I2 J0 J1 J2 K0 K1 K2 L0 L1 L2 M0 M1 M2 N0 N1 N2 O0 O1 O2 P0 P1 P2 Q0 Q1 Q2 R0 R1 R2 S0 S1 S2 T0 T1 T2 U0 U1 U2 V0 V1 V2 W0 W1 W2 X0 X1 X2 Y0 Y1 Y2 Z0 Z1 Z2
78 Tests = 3 versions x 26 variations: Each of the 26 variations (A, B, ...) represents a different random selection of questions taken from the study guide.The 3 versions (0,1,..) all have the same questions but in different order and with different numerical inputs. Unless all students take version "0" it is best to reserve it for the instructor because the questions are grouped according to the order in which they appear on the study guide.
Links: Quizbank/Instructions Study guide file:Quizbank153287923206.pdf
Contact me at User talk:Guy vandegrift if you need any help.
c12 A0
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.432 m and 0.402 T, then how much current (in the z-direction) flows through a circle of radius 0.275 m that is centered on the axis with its plane perpendicular to the axis?
- a) 3.277E+05 A
- b) 3.604E+05 A
- c) 3.965E+05 A
- d) 4.361E+05 A
- e) 4.797E+05 A
2) Two loops of wire carry the same current of 18 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.848 m while the other has a radius of 1.42 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.625 m from the first (smaller) loopif the disance between the loops is 1.55 m?
- a) 7.952E-03 T
- b) 8.747E-03 T
- c) 9.622E-03 T
- d) 1.058E-02 T
- e) 1.164E-02 T
3) Two parallel wires each carry a 3.8 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.74 cm, 1.47 cm), while the other is located at (5.26 cm, 5.87 cm). What is the force per unit length between the wires?
- a) 5.926E-11 N/m
- b) 6.518E-11 N/m
- c) 7.170E-11 N/m
- d) 7.887E-11 N/m
- e) 8.676E-11 N/m
4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?
- a) 1.791E-05 T
- b) 1.970E-05 T
- c) 2.167E-05 T
- d) 2.384E-05 T
- e) 2.622E-05 T
c12 A1
edit1) Two parallel wires each carry a 1.65 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.59 cm, 1.81 cm), while the other is located at (5.78 cm, 4.43 cm). What is the force per unit length between the wires?
- a) 1.422E-11 N/m
- b) 1.564E-11 N/m
- c) 1.720E-11 N/m
- d) 1.892E-11 N/m
- e) 2.081E-11 N/m
2) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?
- a) 1.791E-05 T
- b) 1.970E-05 T
- c) 2.167E-05 T
- d) 2.384E-05 T
- e) 2.622E-05 T
3) Two loops of wire carry the same current of 67 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.847 m while the other has a radius of 1.15 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.408 m from the first (smaller) loopif the disance between the loops is 1.15 m?
- a) 4.799E-02 T
- b) 5.278E-02 T
- c) 5.806E-02 T
- d) 6.387E-02 T
- e) 7.026E-02 T
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.871 m and 0.427 T, then how much current (in the z-direction) flows through a circle of radius 0.688 m that is centered on the axis with its plane perpendicular to the axis?
- a) 1.404E+06 A
- b) 1.544E+06 A
- c) 1.699E+06 A
- d) 1.869E+06 A
- e) 2.056E+06 A
c12 A2
edit1) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.51 mm from the center of a wire of radius 5 mm if the current is 1A?
- a) 1.208E-05 T
- b) 1.329E-05 T
- c) 1.462E-05 T
- d) 1.608E-05 T
- e) 1.769E-05 T
2) Two parallel wires each carry a 2.83 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.15 cm, 1.13 cm), while the other is located at (5.14 cm, 4.22 cm). What is the force per unit length between the wires?
- a) 2.977E-11 N/m
- b) 3.274E-11 N/m
- c) 3.602E-11 N/m
- d) 3.962E-11 N/m
- e) 4.358E-11 N/m
3) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.645 m and 0.469 T, then how much current (in the z-direction) flows through a circle of radius 0.26 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.949E+05 A
- b) 3.244E+05 A
- c) 3.568E+05 A
- d) 3.925E+05 A
- e) 4.317E+05 A
4) Two loops of wire carry the same current of 88 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.655 m while the other has a radius of 1.11 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.531 m from the first (smaller) loopif the disance between the loops is 1.72 m?
- a) 4.162E-02 T
- b) 4.578E-02 T
- c) 5.036E-02 T
- d) 5.540E-02 T
- e) 6.094E-02 T
c12 B0
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.571 m and 0.331 T, then how much current (in the z-direction) flows through a circle of radius 0.321 m that is centered on the axis with its plane perpendicular to the axis?
- a) 3.226E+05 A
- b) 3.549E+05 A
- c) 3.904E+05 A
- d) 4.294E+05 A
- e) 4.724E+05 A
2) Two parallel wires each carry a 2.12 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.67 cm, 1.25 cm), while the other is located at (4.69 cm, 4.27 cm). What is the force per unit length between the wires?
- a) 2.119E-11 N/m
- b) 2.331E-11 N/m
- c) 2.564E-11 N/m
- d) 2.820E-11 N/m
- e) 3.102E-11 N/m
- a) Bx= 6.545E-05 T
- b) Bx= 7.200E-05 T
- c) Bx= 7.919E-05 T
- d) Bx= 8.711E-05 T
- e) Bx= 9.583E-05 T
4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.86 mm from the center of a wire of radius 3 mm if the current is 1A?
- a) 3.416E-05 T
- b) 3.758E-05 T
- c) 4.133E-05 T
- d) 4.547E-05 T
- e) 5.001E-05 T
c12 B1
edit1) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.66 mm from the center of a wire of radius 5 mm if the current is 1A?
- a) 1.935E-05 T
- b) 2.128E-05 T
- c) 2.341E-05 T
- d) 2.575E-05 T
- e) 2.832E-05 T
2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.52 m and 0.657 T, then how much current (in the z-direction) flows through a circle of radius 0.295 m that is centered on the axis with its plane perpendicular to the axis?
- a) 7.876E+05 A
- b) 8.664E+05 A
- c) 9.530E+05 A
- d) 1.048E+06 A
- e) 1.153E+06 A
3) Two parallel wires each carry a 7.48 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.13 cm, 0.955 cm), while the other is located at (5.37 cm, 5.48 cm). What is the force per unit length between the wires?
- a) 2.015E-10 N/m
- b) 2.216E-10 N/m
- c) 2.438E-10 N/m
- d) 2.682E-10 N/m
- e) 2.950E-10 N/m
- a) Bx= 9.053E-05 T
- b) Bx= 9.959E-05 T
- c) Bx= 1.095E-04 T
- d) Bx= 1.205E-04 T
- e) Bx= 1.325E-04 T
c12 B2
edit- a) Bx= 1.335E-04 T
- b) Bx= 1.468E-04 T
- c) Bx= 1.615E-04 T
- d) Bx= 1.777E-04 T
- e) Bx= 1.954E-04 T
2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.568 m and 0.214 T, then how much current (in the z-direction) flows through a circle of radius 0.387 m that is centered on the axis with its plane perpendicular to the axis?
- a) 3.382E+05 A
- b) 3.720E+05 A
- c) 4.092E+05 A
- d) 4.502E+05 A
- e) 4.952E+05 A
3) Two parallel wires each carry a 3.51 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.14 cm, 1.43 cm), while the other is located at (4.14 cm, 5.23 cm). What is the force per unit length between the wires?
- a) 6.484E-11 N/m
- b) 7.133E-11 N/m
- c) 7.846E-11 N/m
- d) 8.631E-11 N/m
- e) 9.494E-11 N/m
4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.66 mm from the center of a wire of radius 5 mm if the current is 1A?
- a) 1.935E-05 T
- b) 2.128E-05 T
- c) 2.341E-05 T
- d) 2.575E-05 T
- e) 2.832E-05 T
c12 C0
edit- a) By= 5.611E-05 T
- b) By= 6.172E-05 T
- c) By= 6.789E-05 T
- d) By= 7.468E-05 T
- e) By= 8.215E-05 T
- a) Bx= 1.335E-04 T
- b) Bx= 1.468E-04 T
- c) Bx= 1.615E-04 T
- d) Bx= 1.777E-04 T
- e) Bx= 1.954E-04 T
3) A wire carries a current of 266 A in a circular arc with radius 2.21 cm swept through 73 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 5.034E+00 Tesla
- b) 5.538E+00 Tesla
- c) 6.091E+00 Tesla
- d) 6.701E+00 Tesla
- e) 7.371E+00 Tesla
4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.59 mm from the center of a wire of radius 5 mm if the current is 1A?
- a) 2.072E-05 T
- b) 2.279E-05 T
- c) 2.507E-05 T
- d) 2.758E-05 T
- e) 3.034E-05 T
c12 C1
edit1) A wire carries a current of 269 A in a circular arc with radius 2.35 cm swept through 36 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 1.613E+00 Tesla
- b) 1.774E+00 Tesla
- c) 1.951E+00 Tesla
- d) 2.146E+00 Tesla
- e) 2.361E+00 Tesla
- a) By= 7.518E-05 T
- b) By= 8.270E-05 T
- c) By= 9.097E-05 T
- d) By= 1.001E-04 T
- e) By= 1.101E-04 T
3) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.81 mm from the center of a wire of radius 3 mm if the current is 1A?
- a) 3.324E-05 T
- b) 3.657E-05 T
- c) 4.022E-05 T
- d) 4.424E-05 T
- e) 4.867E-05 T
- a) Bx= 6.545E-05 T
- b) Bx= 7.200E-05 T
- c) Bx= 7.919E-05 T
- d) Bx= 8.711E-05 T
- e) Bx= 9.583E-05 T
c12 C2
edit1) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?
- a) 1.791E-05 T
- b) 1.970E-05 T
- c) 2.167E-05 T
- d) 2.384E-05 T
- e) 2.622E-05 T
- a) Bx= 3.394E-05 T
- b) Bx= 3.733E-05 T
- c) Bx= 4.106E-05 T
- d) Bx= 4.517E-05 T
- e) Bx= 4.969E-05 T
- a) By= 7.576E-05 T
- b) By= 8.333E-05 T
- c) By= 9.167E-05 T
- d) By= 1.008E-04 T
- e) By= 1.109E-04 T
4) A wire carries a current of 250 A in a circular arc with radius 2.17 cm swept through 53 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 3.498E+00 Tesla
- b) 3.848E+00 Tesla
- c) 4.233E+00 Tesla
- d) 4.656E+00 Tesla
- e) 5.122E+00 Tesla
c12 D0
edit:
- a) 3.583E-03 T-m
- b) 3.941E-03 T-m
- c) 4.335E-03 T-m
- d) 4.769E-03 T-m
- e) 5.246E-03 T-m
2) Two loops of wire carry the same current of 21 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.753 m while the other has a radius of 1.47 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.406 m from the first (smaller) loopif the disance between the loops is 1.38 m?
- a) 1.559E-02 T
- b) 1.715E-02 T
- c) 1.886E-02 T
- d) 2.075E-02 T
- e) 2.283E-02 T
3) A wire carries a current of 106 A in a circular arc with radius 1.32 cm swept through 38 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 1.589E+00 Tesla
- b) 1.748E+00 Tesla
- c) 1.923E+00 Tesla
- d) 2.116E+00 Tesla
- e) 2.327E+00 Tesla
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.432 m and 0.402 T, then how much current (in the z-direction) flows through a circle of radius 0.275 m that is centered on the axis with its plane perpendicular to the axis?
- a) 3.277E+05 A
- b) 3.604E+05 A
- c) 3.965E+05 A
- d) 4.361E+05 A
- e) 4.797E+05 A
c12 D1
edit1) A wire carries a current of 385 A in a circular arc with radius 1.53 cm swept through 58 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 5.711E+00 Tesla
- b) 6.283E+00 Tesla
- c) 6.911E+00 Tesla
- d) 7.602E+00 Tesla
- e) 8.362E+00 Tesla
2) Two loops of wire carry the same current of 20 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.776 m while the other has a radius of 1.2 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.517 m from the first (smaller) loopif the disance between the loops is 1.37 m?
- a) 1.127E-02 T
- b) 1.240E-02 T
- c) 1.364E-02 T
- d) 1.500E-02 T
- e) 1.650E-02 T
:
- a) 4.939E-03 T-m
- b) 5.432E-03 T-m
- c) 5.976E-03 T-m
- d) 6.573E-03 T-m
- e) 7.231E-03 T-m
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.248 m and 0.459 T, then how much current (in the z-direction) flows through a circle of radius 0.152 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.228E+05 A
- b) 2.451E+05 A
- c) 2.696E+05 A
- d) 2.966E+05 A
- e) 3.262E+05 A
c12 D2
edit1) Two loops of wire carry the same current of 24 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.53 m while the other has a radius of 1.38 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.485 m from the first (smaller) loopif the disance between the loops is 1.78 m?
- a) 1.294E-02 T
- b) 1.424E-02 T
- c) 1.566E-02 T
- d) 1.723E-02 T
- e) 1.895E-02 T
:
- a) 5.255E-03 T-m
- b) 5.781E-03 T-m
- c) 6.359E-03 T-m
- d) 6.994E-03 T-m
- e) 7.694E-03 T-m
3) A wire carries a current of 297 A in a circular arc with radius 2.31 cm swept through 75 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 3.774E+00 Tesla
- b) 4.151E+00 Tesla
- c) 4.566E+00 Tesla
- d) 5.023E+00 Tesla
- e) 5.525E+00 Tesla
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.407 m and 0.605 T, then how much current (in the z-direction) flows through a circle of radius 0.196 m that is centered on the axis with its plane perpendicular to the axis?
- a) 3.583E+05 A
- b) 3.941E+05 A
- c) 4.335E+05 A
- d) 4.769E+05 A
- e) 5.246E+05 A
c12 E0
edit- a) By= 4.688E-05 T
- b) By= 5.156E-05 T
- c) By= 5.672E-05 T
- d) By= 6.239E-05 T
- e) By= 6.863E-05 T
:
- a) 3.770E-03 T-m
- b) 4.147E-03 T-m
- c) 4.562E-03 T-m
- d) 5.018E-03 T-m
- e) 5.520E-03 T-m
3) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.03 mm from the center of a wire of radius 3 mm if the current is 1A?
- a) 1.720E-05 T
- b) 1.892E-05 T
- c) 2.081E-05 T
- d) 2.289E-05 T
- e) 2.518E-05 T
4) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 16 turns per centimeter and the current applied to the solenoid is 536 mA, the net magnetic field is measured to be 1.47 T. What is the magnetic susceptibility for this case?
- a) 9.310E+02
- b) 1.024E+03
- c) 1.126E+03
- d) 1.239E+03
- e) 1.363E+03
c12 E1
edit:
- a) 4.386E-03 T-m
- b) 4.825E-03 T-m
- c) 5.307E-03 T-m
- d) 5.838E-03 T-m
- e) 6.421E-03 T-m
2) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 17 turns per centimeter and the current applied to the solenoid is 455 mA, the net magnetic field is measured to be 1.14 T. What is the magnetic susceptibility for this case?
- a) 8.804E+02
- b) 9.685E+02
- c) 1.065E+03
- d) 1.172E+03
- e) 1.289E+03
- a) By= 1.205E-04 T
- b) By= 1.325E-04 T
- c) By= 1.458E-04 T
- d) By= 1.604E-04 T
- e) By= 1.764E-04 T
4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.86 mm from the center of a wire of radius 5 mm if the current is 1A?
- a) 1.488E-05 T
- b) 1.637E-05 T
- c) 1.800E-05 T
- d) 1.981E-05 T
- e) 2.179E-05 T
c12 E2
edit- a) By= 4.028E-05 T
- b) By= 4.431E-05 T
- c) By= 4.874E-05 T
- d) By= 5.361E-05 T
- e) By= 5.897E-05 T
:
- a) 4.354E-03 T-m
- b) 4.789E-03 T-m
- c) 5.268E-03 T-m
- d) 5.795E-03 T-m
- e) 6.374E-03 T-m
3) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.43 mm from the center of a wire of radius 5 mm if the current is 1A?
- a) 1.944E-05 T
- b) 2.138E-05 T
- c) 2.352E-05 T
- d) 2.587E-05 T
- e) 2.846E-05 T
4) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 24 turns per centimeter and the current applied to the solenoid is 242 mA, the net magnetic field is measured to be 1.38 T. What is the magnetic susceptibility for this case?
- a) 1.718E+03
- b) 1.890E+03
- c) 2.079E+03
- d) 2.287E+03
- e) 2.515E+03
c12 F0
edit1) A solenoid has 4.380E+04 turns wound around a cylinder of diameter 1.77 cm and length 16 m. The current through the coils is 0.916 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−4.39 cm to z=+4.26 cm
- a) 2.478E-04 T-m
- b) 2.726E-04 T-m
- c) 2.998E-04 T-m
- d) 3.298E-04 T-m
- e) 3.628E-04 T-m
2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.259 m and 0.575 T, then how much current (in the z-direction) flows through a circle of radius 0.191 m that is centered on the axis with its plane perpendicular to the axis?
- a) 3.492E+05 A
- b) 3.841E+05 A
- c) 4.225E+05 A
- d) 4.648E+05 A
- e) 5.113E+05 A
3) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 16 turns per centimeter and the current applied to the solenoid is 536 mA, the net magnetic field is measured to be 1.47 T. What is the magnetic susceptibility for this case?
- a) 9.310E+02
- b) 1.024E+03
- c) 1.126E+03
- d) 1.239E+03
- e) 1.363E+03
- a) Bx= 6.545E-05 T
- b) Bx= 7.200E-05 T
- c) Bx= 7.919E-05 T
- d) Bx= 8.711E-05 T
- e) Bx= 9.583E-05 T
c12 F1
edit1) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 22 turns per centimeter and the current applied to the solenoid is 568 mA, the net magnetic field is measured to be 1.29 T. What is the magnetic susceptibility for this case?
- a) 8.205E+02
- b) 9.026E+02
- c) 9.928E+02
- d) 1.092E+03
- e) 1.201E+03
2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.253 m and 0.489 T, then how much current (in the z-direction) flows through a circle of radius 0.112 m that is centered on the axis with its plane perpendicular to the axis?
- a) 1.289E+05 A
- b) 1.418E+05 A
- c) 1.560E+05 A
- d) 1.716E+05 A
- e) 1.888E+05 A
- a) Bx= 7.270E-05 T
- b) Bx= 7.997E-05 T
- c) Bx= 8.797E-05 T
- d) Bx= 9.677E-05 T
- e) Bx= 1.064E-04 T
4) A solenoid has 3.950E+04 turns wound around a cylinder of diameter 1.64 cm and length 16 m. The current through the coils is 0.441 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.05 cm to z=+3.97 cm
- a) 6.807E-05 T-m
- b) 7.487E-05 T-m
- c) 8.236E-05 T-m
- d) 9.060E-05 T-m
- e) 9.966E-05 T-m
c12 F2
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.51 m and 0.649 T, then how much current (in the z-direction) flows through a circle of radius 0.376 m that is centered on the axis with its plane perpendicular to the axis?
- a) 9.388E+05 A
- b) 1.033E+06 A
- c) 1.136E+06 A
- d) 1.249E+06 A
- e) 1.374E+06 A
2) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 27 turns per centimeter and the current applied to the solenoid is 280 mA, the net magnetic field is measured to be 1.13 T. What is the magnetic susceptibility for this case?
- a) 1.188E+03
- b) 1.307E+03
- c) 1.438E+03
- d) 1.582E+03
- e) 1.740E+03
- a) Bx= 6.545E-05 T
- b) Bx= 7.200E-05 T
- c) Bx= 7.919E-05 T
- d) Bx= 8.711E-05 T
- e) Bx= 9.583E-05 T
4) A solenoid has 5.980E+04 turns wound around a cylinder of diameter 1.8 cm and length 17 m. The current through the coils is 0.933 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−3.68 cm to z=+1.29 cm
- a) 1.863E-04 T-m
- b) 2.050E-04 T-m
- c) 2.255E-04 T-m
- d) 2.480E-04 T-m
- e) 2.728E-04 T-m
c12 G0
edit:
- a) 4.354E-03 T-m
- b) 4.789E-03 T-m
- c) 5.268E-03 T-m
- d) 5.795E-03 T-m
- e) 6.374E-03 T-m
2) Two loops of wire carry the same current of 66 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.485 m while the other has a radius of 1.27 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.507 m from the first (smaller) loopif the disance between the loops is 1.76 m?
- a) 2.733E-02 T
- b) 3.007E-02 T
- c) 3.307E-02 T
- d) 3.638E-02 T
- e) 4.002E-02 T
3) A solenoid has 3.950E+04 turns wound around a cylinder of diameter 1.64 cm and length 16 m. The current through the coils is 0.441 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.05 cm to z=+3.97 cm
- a) 6.807E-05 T-m
- b) 7.487E-05 T-m
- c) 8.236E-05 T-m
- d) 9.060E-05 T-m
- e) 9.966E-05 T-m
4) A wire carries a current of 343 A in a circular arc with radius 2.95 cm swept through 38 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 1.902E+00 Tesla
- b) 2.092E+00 Tesla
- c) 2.301E+00 Tesla
- d) 2.532E+00 Tesla
- e) 2.785E+00 Tesla
c12 G1
edit1) Two loops of wire carry the same current of 97 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.595 m while the other has a radius of 1.1 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.63 m from the first (smaller) loopif the disance between the loops is 1.72 m?
- a) 5.302E-02 T
- b) 5.832E-02 T
- c) 6.415E-02 T
- d) 7.056E-02 T
- e) 7.762E-02 T
:
- a) 2.696E-03 T-m
- b) 2.966E-03 T-m
- c) 3.263E-03 T-m
- d) 3.589E-03 T-m
- e) 3.948E-03 T-m
3) A wire carries a current of 293 A in a circular arc with radius 1.75 cm swept through 71 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 4.652E+00 Tesla
- b) 5.117E+00 Tesla
- c) 5.629E+00 Tesla
- d) 6.192E+00 Tesla
- e) 6.811E+00 Tesla
4) A solenoid has 7.610E+04 turns wound around a cylinder of diameter 1.21 cm and length 9 m. The current through the coils is 0.696 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−1.52 cm to z=+2.04 cm
- a) 2.176E-04 T-m
- b) 2.393E-04 T-m
- c) 2.633E-04 T-m
- d) 2.896E-04 T-m
- e) 3.186E-04 T-m
c12 G2
edit:
- a) 3.905E-03 T-m
- b) 4.295E-03 T-m
- c) 4.725E-03 T-m
- d) 5.197E-03 T-m
- e) 5.717E-03 T-m
2) A solenoid has 7.610E+04 turns wound around a cylinder of diameter 1.21 cm and length 9 m. The current through the coils is 0.696 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−1.52 cm to z=+2.04 cm
- a) 2.176E-04 T-m
- b) 2.393E-04 T-m
- c) 2.633E-04 T-m
- d) 2.896E-04 T-m
- e) 3.186E-04 T-m
3) Two loops of wire carry the same current of 18 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.848 m while the other has a radius of 1.42 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.625 m from the first (smaller) loopif the disance between the loops is 1.55 m?
- a) 7.952E-03 T
- b) 8.747E-03 T
- c) 9.622E-03 T
- d) 1.058E-02 T
- e) 1.164E-02 T
4) A wire carries a current of 266 A in a circular arc with radius 2.21 cm swept through 73 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 5.034E+00 Tesla
- b) 5.538E+00 Tesla
- c) 6.091E+00 Tesla
- d) 6.701E+00 Tesla
- e) 7.371E+00 Tesla
c12 H0
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.432 m and 0.402 T, then how much current (in the z-direction) flows through a circle of radius 0.275 m that is centered on the axis with its plane perpendicular to the axis?
- a) 3.277E+05 A
- b) 3.604E+05 A
- c) 3.965E+05 A
- d) 4.361E+05 A
- e) 4.797E+05 A
- a) Bx= 7.270E-05 T
- b) Bx= 7.997E-05 T
- c) Bx= 8.797E-05 T
- d) Bx= 9.677E-05 T
- e) Bx= 1.064E-04 T
- a) By= 3.480E-05 T
- b) By= 3.828E-05 T
- c) By= 4.210E-05 T
- d) By= 4.631E-05 T
- e) By= 5.095E-05 T
:
- a) 6.535E-03 T-m
- b) 7.188E-03 T-m
- c) 7.907E-03 T-m
- d) 8.697E-03 T-m
- e) 9.567E-03 T-m
c12 H1
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.52 m and 0.657 T, then how much current (in the z-direction) flows through a circle of radius 0.295 m that is centered on the axis with its plane perpendicular to the axis?
- a) 7.876E+05 A
- b) 8.664E+05 A
- c) 9.530E+05 A
- d) 1.048E+06 A
- e) 1.153E+06 A
- a) By= 3.480E-05 T
- b) By= 3.828E-05 T
- c) By= 4.210E-05 T
- d) By= 4.631E-05 T
- e) By= 5.095E-05 T
- a) Bx= 4.559E-05 T
- b) Bx= 5.015E-05 T
- c) Bx= 5.517E-05 T
- d) Bx= 6.068E-05 T
- e) Bx= 6.675E-05 T
:
- a) 4.354E-03 T-m
- b) 4.789E-03 T-m
- c) 5.268E-03 T-m
- d) 5.795E-03 T-m
- e) 6.374E-03 T-m
c12 H2
edit:
- a) 4.200E-03 T-m
- b) 4.620E-03 T-m
- c) 5.082E-03 T-m
- d) 5.590E-03 T-m
- e) 6.149E-03 T-m
- a) By= 6.999E-05 T
- b) By= 7.699E-05 T
- c) By= 8.469E-05 T
- d) By= 9.316E-05 T
- e) By= 1.025E-04 T
- a) Bx= 1.037E-04 T
- b) Bx= 1.141E-04 T
- c) Bx= 1.255E-04 T
- d) Bx= 1.381E-04 T
- e) Bx= 1.519E-04 T
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.259 m and 0.575 T, then how much current (in the z-direction) flows through a circle of radius 0.191 m that is centered on the axis with its plane perpendicular to the axis?
- a) 3.492E+05 A
- b) 3.841E+05 A
- c) 4.225E+05 A
- d) 4.648E+05 A
- e) 5.113E+05 A
c12 I0
edit1) Two loops of wire carry the same current of 67 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.847 m while the other has a radius of 1.15 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.408 m from the first (smaller) loopif the disance between the loops is 1.15 m?
- a) 4.799E-02 T
- b) 5.278E-02 T
- c) 5.806E-02 T
- d) 6.387E-02 T
- e) 7.026E-02 T
2) Two parallel wires each carry a 7.68 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.36 cm, 1.58 cm), while the other is located at (5.29 cm, 5.18 cm). What is the force per unit length between the wires?
- a) 1.973E-10 N/m
- b) 2.170E-10 N/m
- c) 2.387E-10 N/m
- d) 2.625E-10 N/m
- e) 2.888E-10 N/m
:
- a) 1.724E-03 T-m
- b) 1.896E-03 T-m
- c) 2.086E-03 T-m
- d) 2.295E-03 T-m
- e) 2.524E-03 T-m
- a) Bx= 7.134E-05 T
- b) Bx= 7.847E-05 T
- c) Bx= 8.632E-05 T
- d) Bx= 9.495E-05 T
- e) Bx= 1.044E-04 T
c12 I1
edit1) Two parallel wires each carry a 2.58 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.79 cm, 1.03 cm), while the other is located at (5.64 cm, 5.12 cm). What is the force per unit length between the wires?
- a) 2.634E-11 N/m
- b) 2.897E-11 N/m
- c) 3.187E-11 N/m
- d) 3.506E-11 N/m
- e) 3.856E-11 N/m
:
- a) 3.795E-03 T-m
- b) 4.175E-03 T-m
- c) 4.592E-03 T-m
- d) 5.051E-03 T-m
- e) 5.556E-03 T-m
- a) Bx= 8.371E-05 T
- b) Bx= 9.208E-05 T
- c) Bx= 1.013E-04 T
- d) Bx= 1.114E-04 T
- e) Bx= 1.226E-04 T
4) Two loops of wire carry the same current of 85 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.854 m while the other has a radius of 1.18 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.5 m from the first (smaller) loopif the disance between the loops is 1.66 m?
- a) 4.253E-02 T
- b) 4.678E-02 T
- c) 5.146E-02 T
- d) 5.661E-02 T
- e) 6.227E-02 T
c12 I2
edit:
- a) 1.547E-03 T-m
- b) 1.702E-03 T-m
- c) 1.872E-03 T-m
- d) 2.060E-03 T-m
- e) 2.266E-03 T-m
2) Two loops of wire carry the same current of 85 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.854 m while the other has a radius of 1.18 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.5 m from the first (smaller) loopif the disance between the loops is 1.66 m?
- a) 4.253E-02 T
- b) 4.678E-02 T
- c) 5.146E-02 T
- d) 5.661E-02 T
- e) 6.227E-02 T
3) Two parallel wires each carry a 4.15 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.19 cm, 1.78 cm), while the other is located at (3.73 cm, 4.12 cm). What is the force per unit length between the wires?
- a) 1.434E-10 N/m
- b) 1.578E-10 N/m
- c) 1.736E-10 N/m
- d) 1.909E-10 N/m
- e) 2.100E-10 N/m
- a) Bx= 6.171E-05 T
- b) Bx= 6.788E-05 T
- c) Bx= 7.467E-05 T
- d) Bx= 8.213E-05 T
- e) Bx= 9.035E-05 T
c12 J0
edit1) Two loops of wire carry the same current of 14 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.835 m while the other has a radius of 1.29 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.607 m from the first (smaller) loopif the disance between the loops is 1.61 m?
- a) 6.099E-03 T
- b) 6.709E-03 T
- c) 7.380E-03 T
- d) 8.118E-03 T
- e) 8.930E-03 T
:
- a) 3.795E-03 T-m
- b) 4.175E-03 T-m
- c) 4.592E-03 T-m
- d) 5.051E-03 T-m
- e) 5.556E-03 T-m
- a) By= 4.028E-05 T
- b) By= 4.431E-05 T
- c) By= 4.874E-05 T
- d) By= 5.361E-05 T
- e) By= 5.897E-05 T
4) Two parallel wires each carry a 7.48 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.13 cm, 0.955 cm), while the other is located at (5.37 cm, 5.48 cm). What is the force per unit length between the wires?
- a) 2.015E-10 N/m
- b) 2.216E-10 N/m
- c) 2.438E-10 N/m
- d) 2.682E-10 N/m
- e) 2.950E-10 N/m
c12 J1
edit:
- a) 1.331E-03 T-m
- b) 1.464E-03 T-m
- c) 1.611E-03 T-m
- d) 1.772E-03 T-m
- e) 1.949E-03 T-m
- a) By= 5.611E-05 T
- b) By= 6.172E-05 T
- c) By= 6.789E-05 T
- d) By= 7.468E-05 T
- e) By= 8.215E-05 T
3) Two parallel wires each carry a 7.59 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.98 cm, 0.969 cm), while the other is located at (5.13 cm, 5.53 cm). What is the force per unit length between the wires?
- a) 1.840E-10 N/m
- b) 2.024E-10 N/m
- c) 2.227E-10 N/m
- d) 2.449E-10 N/m
- e) 2.694E-10 N/m
4) Two loops of wire carry the same current of 12 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.751 m while the other has a radius of 1.42 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.493 m from the first (smaller) loopif the disance between the loops is 1.26 m?
- a) 7.836E-03 T
- b) 8.620E-03 T
- c) 9.482E-03 T
- d) 1.043E-02 T
- e) 1.147E-02 T
c12 J2
edit1) Two loops of wire carry the same current of 20 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.776 m while the other has a radius of 1.2 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.517 m from the first (smaller) loopif the disance between the loops is 1.37 m?
- a) 1.127E-02 T
- b) 1.240E-02 T
- c) 1.364E-02 T
- d) 1.500E-02 T
- e) 1.650E-02 T
- a) By= 7.576E-05 T
- b) By= 8.333E-05 T
- c) By= 9.167E-05 T
- d) By= 1.008E-04 T
- e) By= 1.109E-04 T
:
- a) 8.204E-04 T-m
- b) 9.025E-04 T-m
- c) 9.927E-04 T-m
- d) 1.092E-03 T-m
- e) 1.201E-03 T-m
4) Two parallel wires each carry a 8.75 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.66 cm, 1.4 cm), while the other is located at (5.64 cm, 5.66 cm). What is the force per unit length between the wires?
- a) 2.449E-10 N/m
- b) 2.694E-10 N/m
- c) 2.963E-10 N/m
- d) 3.260E-10 N/m
- e) 3.586E-10 N/m
c12 K0
edit:
- a) 4.200E-03 T-m
- b) 4.620E-03 T-m
- c) 5.082E-03 T-m
- d) 5.590E-03 T-m
- e) 6.149E-03 T-m
:
- a) 1.250E-03 T-m
- b) 1.375E-03 T-m
- c) 1.512E-03 T-m
- d) 1.663E-03 T-m
- e) 1.830E-03 T-m
3) Two loops of wire carry the same current of 18 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.848 m while the other has a radius of 1.42 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.625 m from the first (smaller) loopif the disance between the loops is 1.55 m?
- a) 7.952E-03 T
- b) 8.747E-03 T
- c) 9.622E-03 T
- d) 1.058E-02 T
- e) 1.164E-02 T
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.37 m and 0.556 T, then how much current (in the z-direction) flows through a circle of radius 0.14 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.171E+05 A
- b) 2.388E+05 A
- c) 2.627E+05 A
- d) 2.890E+05 A
- e) 3.179E+05 A
c12 K1
edit1) Two loops of wire carry the same current of 12 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.751 m while the other has a radius of 1.42 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.493 m from the first (smaller) loopif the disance between the loops is 1.26 m?
- a) 7.836E-03 T
- b) 8.620E-03 T
- c) 9.482E-03 T
- d) 1.043E-02 T
- e) 1.147E-02 T
2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.547 m and 0.597 T, then how much current (in the z-direction) flows through a circle of radius 0.158 m that is centered on the axis with its plane perpendicular to the axis?
- a) 1.751E+05 A
- b) 1.927E+05 A
- c) 2.119E+05 A
- d) 2.331E+05 A
- e) 2.564E+05 A
:
- a) 3.644E-03 T-m
- b) 4.009E-03 T-m
- c) 4.410E-03 T-m
- d) 4.850E-03 T-m
- e) 5.336E-03 T-m
:
- a) 4.386E-03 T-m
- b) 4.825E-03 T-m
- c) 5.307E-03 T-m
- d) 5.838E-03 T-m
- e) 6.421E-03 T-m
c12 K2
edit:
- a) 5.255E-03 T-m
- b) 5.781E-03 T-m
- c) 6.359E-03 T-m
- d) 6.994E-03 T-m
- e) 7.694E-03 T-m
2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.549 m and 0.599 T, then how much current (in the z-direction) flows through a circle of radius 0.29 m that is centered on the axis with its plane perpendicular to the axis?
- a) 5.581E+05 A
- b) 6.139E+05 A
- c) 6.752E+05 A
- d) 7.428E+05 A
- e) 8.170E+05 A
3) Two loops of wire carry the same current of 44 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.678 m while the other has a radius of 1.14 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.508 m from the first (smaller) loopif the disance between the loops is 1.16 m?
- a) 3.342E-02 T
- b) 3.676E-02 T
- c) 4.044E-02 T
- d) 4.448E-02 T
- e) 4.893E-02 T
:
- a) 1.420E-03 T-m
- b) 1.562E-03 T-m
- c) 1.718E-03 T-m
- d) 1.890E-03 T-m
- e) 2.079E-03 T-m
c12 L0
edit1) A solenoid has 7.610E+04 turns wound around a cylinder of diameter 1.21 cm and length 9 m. The current through the coils is 0.696 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−1.52 cm to z=+2.04 cm
- a) 2.176E-04 T-m
- b) 2.393E-04 T-m
- c) 2.633E-04 T-m
- d) 2.896E-04 T-m
- e) 3.186E-04 T-m
2) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.51 mm from the center of a wire of radius 5 mm if the current is 1A?
- a) 1.208E-05 T
- b) 1.329E-05 T
- c) 1.462E-05 T
- d) 1.608E-05 T
- e) 1.769E-05 T
- a) By= 5.930E-05 T
- b) By= 6.523E-05 T
- c) By= 7.175E-05 T
- d) By= 7.892E-05 T
- e) By= 8.682E-05 T
4) Two parallel wires each carry a 9.59 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.97 cm, 1.4 cm), while the other is located at (4.02 cm, 5.19 cm). What is the force per unit length between the wires?
- a) 4.412E-10 N/m
- b) 4.853E-10 N/m
- c) 5.338E-10 N/m
- d) 5.872E-10 N/m
- e) 6.459E-10 N/m
c12 L1
edit1) Two parallel wires each carry a 2.83 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.15 cm, 1.13 cm), while the other is located at (5.14 cm, 4.22 cm). What is the force per unit length between the wires?
- a) 2.977E-11 N/m
- b) 3.274E-11 N/m
- c) 3.602E-11 N/m
- d) 3.962E-11 N/m
- e) 4.358E-11 N/m
2) A solenoid has 7.690E+04 turns wound around a cylinder of diameter 1.63 cm and length 11 m. The current through the coils is 0.728 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.76 cm to z=+1.99 cm
- a) 2.762E-04 T-m
- b) 3.038E-04 T-m
- c) 3.342E-04 T-m
- d) 3.676E-04 T-m
- e) 4.043E-04 T-m
- a) By= 7.576E-05 T
- b) By= 8.333E-05 T
- c) By= 9.167E-05 T
- d) By= 1.008E-04 T
- e) By= 1.109E-04 T
4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.51 mm from the center of a wire of radius 5 mm if the current is 1A?
- a) 1.098E-05 T
- b) 1.208E-05 T
- c) 1.329E-05 T
- d) 1.462E-05 T
- e) 1.608E-05 T
c12 L2
edit1) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.64 mm from the center of a wire of radius 5 mm if the current is 1A?
- a) 1.920E-05 T
- b) 2.112E-05 T
- c) 2.323E-05 T
- d) 2.556E-05 T
- e) 2.811E-05 T
- a) By= 6.118E-05 T
- b) By= 6.730E-05 T
- c) By= 7.403E-05 T
- d) By= 8.144E-05 T
- e) By= 8.958E-05 T
3) A solenoid has 5.500E+04 turns wound around a cylinder of diameter 1.45 cm and length 15 m. The current through the coils is 0.395 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−4.19 cm to z=+2.16 cm
- a) 7.894E-05 T-m
- b) 8.683E-05 T-m
- c) 9.551E-05 T-m
- d) 1.051E-04 T-m
- e) 1.156E-04 T-m
4) Two parallel wires each carry a 2.12 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.67 cm, 1.25 cm), while the other is located at (4.69 cm, 4.27 cm). What is the force per unit length between the wires?
- a) 2.119E-11 N/m
- b) 2.331E-11 N/m
- c) 2.564E-11 N/m
- d) 2.820E-11 N/m
- e) 3.102E-11 N/m
c12 M0
edit- a) By= 7.518E-05 T
- b) By= 8.270E-05 T
- c) By= 9.097E-05 T
- d) By= 1.001E-04 T
- e) By= 1.101E-04 T
:
- a) 4.031E-03 T-m
- b) 4.434E-03 T-m
- c) 4.877E-03 T-m
- d) 5.365E-03 T-m
- e) 5.901E-03 T-m
3) Two loops of wire carry the same current of 39 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.49 m while the other has a radius of 1.11 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.552 m from the first (smaller) loopif the disance between the loops is 1.62 m?
- a) 1.564E-02 T
- b) 1.720E-02 T
- c) 1.892E-02 T
- d) 2.081E-02 T
- e) 2.289E-02 T
4) Two parallel wires each carry a 9.08 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.17 cm, 1.32 cm), while the other is located at (5.72 cm, 4.47 cm). What is the force per unit length between the wires?
- a) 3.882E-10 N/m
- b) 4.270E-10 N/m
- c) 4.697E-10 N/m
- d) 5.167E-10 N/m
- e) 5.683E-10 N/m
c12 M1
edit1) Two loops of wire carry the same current of 39 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.49 m while the other has a radius of 1.11 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.552 m from the first (smaller) loopif the disance between the loops is 1.62 m?
- a) 1.564E-02 T
- b) 1.720E-02 T
- c) 1.892E-02 T
- d) 2.081E-02 T
- e) 2.289E-02 T
- a) By= 7.035E-05 T
- b) By= 7.739E-05 T
- c) By= 8.512E-05 T
- d) By= 9.364E-05 T
- e) By= 1.030E-04 T
3) Two parallel wires each carry a 2.83 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.15 cm, 1.13 cm), while the other is located at (5.14 cm, 4.22 cm). What is the force per unit length between the wires?
- a) 2.977E-11 N/m
- b) 3.274E-11 N/m
- c) 3.602E-11 N/m
- d) 3.962E-11 N/m
- e) 4.358E-11 N/m
:
- a) 3.261E-03 T-m
- b) 3.587E-03 T-m
- c) 3.945E-03 T-m
- d) 4.340E-03 T-m
- e) 4.774E-03 T-m
c12 M2
edit1) Two loops of wire carry the same current of 12 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.751 m while the other has a radius of 1.42 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.493 m from the first (smaller) loopif the disance between the loops is 1.26 m?
- a) 7.836E-03 T
- b) 8.620E-03 T
- c) 9.482E-03 T
- d) 1.043E-02 T
- e) 1.147E-02 T
- a) By= 4.028E-05 T
- b) By= 4.431E-05 T
- c) By= 4.874E-05 T
- d) By= 5.361E-05 T
- e) By= 5.897E-05 T
3) Two parallel wires each carry a 7.75 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.62 cm, 1.31 cm), while the other is located at (4.63 cm, 5.53 cm). What is the force per unit length between the wires?
- a) 2.588E-10 N/m
- b) 2.847E-10 N/m
- c) 3.131E-10 N/m
- d) 3.444E-10 N/m
- e) 3.789E-10 N/m
:
- a) 3.770E-03 T-m
- b) 4.147E-03 T-m
- c) 4.562E-03 T-m
- d) 5.018E-03 T-m
- e) 5.520E-03 T-m
c12 N0
edit1) Two loops of wire carry the same current of 11 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.424 m while the other has a radius of 1.32 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.52 m from the first (smaller) loopif the disance between the loops is 1.25 m?
- a) 7.623E-03 T
- b) 8.385E-03 T
- c) 9.223E-03 T
- d) 1.015E-02 T
- e) 1.116E-02 T
2) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?
- a) 1.791E-05 T
- b) 1.970E-05 T
- c) 2.167E-05 T
- d) 2.384E-05 T
- e) 2.622E-05 T
- a) Bx= 7.270E-05 T
- b) Bx= 7.997E-05 T
- c) Bx= 8.797E-05 T
- d) Bx= 9.677E-05 T
- e) Bx= 1.064E-04 T
4) A solenoid has 4.730E+04 turns wound around a cylinder of diameter 1.46 cm and length 15 m. The current through the coils is 0.754 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−3.4 cm to z=+1.14 cm
- a) 1.121E-04 T-m
- b) 1.233E-04 T-m
- c) 1.356E-04 T-m
- d) 1.492E-04 T-m
- e) 1.641E-04 T-m
c12 N1
edit1) A solenoid has 7.920E+04 turns wound around a cylinder of diameter 1.45 cm and length 11 m. The current through the coils is 0.702 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−4.27 cm to z=+1.36 cm
- a) 2.687E-04 T-m
- b) 2.955E-04 T-m
- c) 3.251E-04 T-m
- d) 3.576E-04 T-m
- e) 3.934E-04 T-m
- a) Bx= 4.506E-05 T
- b) Bx= 4.957E-05 T
- c) Bx= 5.452E-05 T
- d) Bx= 5.997E-05 T
- e) Bx= 6.597E-05 T
3) Two loops of wire carry the same current of 20 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.776 m while the other has a radius of 1.2 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.517 m from the first (smaller) loopif the disance between the loops is 1.37 m?
- a) 1.127E-02 T
- b) 1.240E-02 T
- c) 1.364E-02 T
- d) 1.500E-02 T
- e) 1.650E-02 T
4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 3.33 mm from the center of a wire of radius 5 mm if the current is 1A?
- a) 2.202E-05 T
- b) 2.422E-05 T
- c) 2.664E-05 T
- d) 2.930E-05 T
- e) 3.223E-05 T
c12 N2
edit1) A solenoid has 7.610E+04 turns wound around a cylinder of diameter 1.21 cm and length 9 m. The current through the coils is 0.696 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−1.52 cm to z=+2.04 cm
- a) 2.176E-04 T-m
- b) 2.393E-04 T-m
- c) 2.633E-04 T-m
- d) 2.896E-04 T-m
- e) 3.186E-04 T-m
2) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.26 mm from the center of a wire of radius 5 mm if the current is 1A?
- a) 1.494E-05 T
- b) 1.644E-05 T
- c) 1.808E-05 T
- d) 1.989E-05 T
- e) 2.188E-05 T
- a) Bx= 8.371E-05 T
- b) Bx= 9.208E-05 T
- c) Bx= 1.013E-04 T
- d) Bx= 1.114E-04 T
- e) Bx= 1.226E-04 T
4) Two loops of wire carry the same current of 99 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.798 m while the other has a radius of 1.29 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.394 m from the first (smaller) loopif the disance between the loops is 1.29 m?
- a) 8.291E-02 T
- b) 9.120E-02 T
- c) 1.003E-01 T
- d) 1.104E-01 T
- e) 1.214E-01 T
c12 O0
edit- a) Bx= 8.371E-05 T
- b) Bx= 9.208E-05 T
- c) Bx= 1.013E-04 T
- d) Bx= 1.114E-04 T
- e) Bx= 1.226E-04 T
2) A solenoid has 4.730E+04 turns wound around a cylinder of diameter 1.46 cm and length 15 m. The current through the coils is 0.754 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−3.4 cm to z=+1.14 cm
- a) 1.121E-04 T-m
- b) 1.233E-04 T-m
- c) 1.356E-04 T-m
- d) 1.492E-04 T-m
- e) 1.641E-04 T-m
:
- a) 1.385E-03 T-m
- b) 1.524E-03 T-m
- c) 1.676E-03 T-m
- d) 1.844E-03 T-m
- e) 2.028E-03 T-m
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.51 m and 0.649 T, then how much current (in the z-direction) flows through a circle of radius 0.376 m that is centered on the axis with its plane perpendicular to the axis?
- a) 9.388E+05 A
- b) 1.033E+06 A
- c) 1.136E+06 A
- d) 1.249E+06 A
- e) 1.374E+06 A
c12 O1
edit- a) Bx= 7.270E-05 T
- b) Bx= 7.997E-05 T
- c) Bx= 8.797E-05 T
- d) Bx= 9.677E-05 T
- e) Bx= 1.064E-04 T
2) A solenoid has 9.160E+04 turns wound around a cylinder of diameter 1.64 cm and length 16 m. The current through the coils is 0.873 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−1.74 cm to z=+4.75 cm
- a) 3.369E-04 T-m
- b) 3.706E-04 T-m
- c) 4.076E-04 T-m
- d) 4.484E-04 T-m
- e) 4.932E-04 T-m
:
- a) 8.204E-04 T-m
- b) 9.025E-04 T-m
- c) 9.927E-04 T-m
- d) 1.092E-03 T-m
- e) 1.201E-03 T-m
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.619 m and 0.215 T, then how much current (in the z-direction) flows through a circle of radius 0.351 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.534E+05 A
- b) 2.787E+05 A
- c) 3.066E+05 A
- d) 3.373E+05 A
- e) 3.710E+05 A
c12 O2
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.37 m and 0.556 T, then how much current (in the z-direction) flows through a circle of radius 0.14 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.171E+05 A
- b) 2.388E+05 A
- c) 2.627E+05 A
- d) 2.890E+05 A
- e) 3.179E+05 A
- a) Bx= 7.487E-05 T
- b) Bx= 8.236E-05 T
- c) Bx= 9.060E-05 T
- d) Bx= 9.966E-05 T
- e) Bx= 1.096E-04 T
:
- a) 2.721E-03 T-m
- b) 2.993E-03 T-m
- c) 3.292E-03 T-m
- d) 3.621E-03 T-m
- e) 3.984E-03 T-m
4) A solenoid has 5.980E+04 turns wound around a cylinder of diameter 1.8 cm and length 17 m. The current through the coils is 0.933 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−3.68 cm to z=+1.29 cm
- a) 1.863E-04 T-m
- b) 2.050E-04 T-m
- c) 2.255E-04 T-m
- d) 2.480E-04 T-m
- e) 2.728E-04 T-m
c12 P0
edit:
- a) 1.547E-03 T-m
- b) 1.702E-03 T-m
- c) 1.872E-03 T-m
- d) 2.060E-03 T-m
- e) 2.266E-03 T-m
2) A wire carries a current of 303 A in a circular arc with radius 2.2 cm swept through 72 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 3.881E+00 Tesla
- b) 4.269E+00 Tesla
- c) 4.696E+00 Tesla
- d) 5.165E+00 Tesla
- e) 5.682E+00 Tesla
- a) By= 4.028E-05 T
- b) By= 4.431E-05 T
- c) By= 4.874E-05 T
- d) By= 5.361E-05 T
- e) By= 5.897E-05 T
4) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 18 turns per centimeter and the current applied to the solenoid is 582 mA, the net magnetic field is measured to be 1.15 T. What is the magnetic susceptibility for this case?
- a) 7.211E+02
- b) 7.932E+02
- c) 8.726E+02
- d) 9.598E+02
- e) 1.056E+03
c12 P1
edit:
- a) 1.250E-03 T-m
- b) 1.375E-03 T-m
- c) 1.512E-03 T-m
- d) 1.663E-03 T-m
- e) 1.830E-03 T-m
- a) By= 7.518E-05 T
- b) By= 8.270E-05 T
- c) By= 9.097E-05 T
- d) By= 1.001E-04 T
- e) By= 1.101E-04 T
3) A wire carries a current of 266 A in a circular arc with radius 2.21 cm swept through 73 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 5.034E+00 Tesla
- b) 5.538E+00 Tesla
- c) 6.091E+00 Tesla
- d) 6.701E+00 Tesla
- e) 7.371E+00 Tesla
4) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 26 turns per centimeter and the current applied to the solenoid is 359 mA, the net magnetic field is measured to be 1.32 T. What is the magnetic susceptibility for this case?
- a) 1.124E+03
- b) 1.237E+03
- c) 1.360E+03
- d) 1.497E+03
- e) 1.646E+03
c12 P2
edit1) A wire carries a current of 385 A in a circular arc with radius 1.53 cm swept through 58 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 5.711E+00 Tesla
- b) 6.283E+00 Tesla
- c) 6.911E+00 Tesla
- d) 7.602E+00 Tesla
- e) 8.362E+00 Tesla
:
- a) 1.385E-03 T-m
- b) 1.524E-03 T-m
- c) 1.676E-03 T-m
- d) 1.844E-03 T-m
- e) 2.028E-03 T-m
- a) By= 6.833E-05 T
- b) By= 7.517E-05 T
- c) By= 8.268E-05 T
- d) By= 9.095E-05 T
- e) By= 1.000E-04 T
4) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 26 turns per centimeter and the current applied to the solenoid is 359 mA, the net magnetic field is measured to be 1.32 T. What is the magnetic susceptibility for this case?
- a) 1.124E+03
- b) 1.237E+03
- c) 1.360E+03
- d) 1.497E+03
- e) 1.646E+03
c12 Q0
edit:
- a) 5.255E-03 T-m
- b) 5.781E-03 T-m
- c) 6.359E-03 T-m
- d) 6.994E-03 T-m
- e) 7.694E-03 T-m
2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.619 m and 0.215 T, then how much current (in the z-direction) flows through a circle of radius 0.351 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.534E+05 A
- b) 2.787E+05 A
- c) 3.066E+05 A
- d) 3.373E+05 A
- e) 3.710E+05 A
:
- a) 8.204E-04 T-m
- b) 9.025E-04 T-m
- c) 9.927E-04 T-m
- d) 1.092E-03 T-m
- e) 1.201E-03 T-m
4) Two parallel wires each carry a 9.59 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.97 cm, 1.4 cm), while the other is located at (4.02 cm, 5.19 cm). What is the force per unit length between the wires?
- a) 4.412E-10 N/m
- b) 4.853E-10 N/m
- c) 5.338E-10 N/m
- d) 5.872E-10 N/m
- e) 6.459E-10 N/m
c12 Q1
edit:
- a) 1.547E-03 T-m
- b) 1.702E-03 T-m
- c) 1.872E-03 T-m
- d) 2.060E-03 T-m
- e) 2.266E-03 T-m
2) Two parallel wires each carry a 1.65 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.59 cm, 1.81 cm), while the other is located at (5.78 cm, 4.43 cm). What is the force per unit length between the wires?
- a) 1.422E-11 N/m
- b) 1.564E-11 N/m
- c) 1.720E-11 N/m
- d) 1.892E-11 N/m
- e) 2.081E-11 N/m
3) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.568 m and 0.214 T, then how much current (in the z-direction) flows through a circle of radius 0.387 m that is centered on the axis with its plane perpendicular to the axis?
- a) 3.382E+05 A
- b) 3.720E+05 A
- c) 4.092E+05 A
- d) 4.502E+05 A
- e) 4.952E+05 A
:
- a) 3.770E-03 T-m
- b) 4.147E-03 T-m
- c) 4.562E-03 T-m
- d) 5.018E-03 T-m
- e) 5.520E-03 T-m
c12 Q2
edit1) Two parallel wires each carry a 2.58 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.79 cm, 1.03 cm), while the other is located at (5.64 cm, 5.12 cm). What is the force per unit length between the wires?
- a) 2.634E-11 N/m
- b) 2.897E-11 N/m
- c) 3.187E-11 N/m
- d) 3.506E-11 N/m
- e) 3.856E-11 N/m
:
- a) 3.770E-03 T-m
- b) 4.147E-03 T-m
- c) 4.562E-03 T-m
- d) 5.018E-03 T-m
- e) 5.520E-03 T-m
:
- a) 3.544E-03 T-m
- b) 3.898E-03 T-m
- c) 4.288E-03 T-m
- d) 4.717E-03 T-m
- e) 5.188E-03 T-m
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.353 m and 0.697 T, then how much current (in the z-direction) flows through a circle of radius 0.196 m that is centered on the axis with its plane perpendicular to the axis?
- a) 5.479E+05 A
- b) 6.027E+05 A
- c) 6.630E+05 A
- d) 7.293E+05 A
- e) 8.022E+05 A
c12 R0
edit1) Two parallel wires each carry a 3.38 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.46 cm, 1.76 cm), while the other is located at (5.13 cm, 5.5 cm). What is the force per unit length between the wires?
- a) 3.810E-11 N/m
- b) 4.191E-11 N/m
- c) 4.610E-11 N/m
- d) 5.071E-11 N/m
- e) 5.578E-11 N/m
2) Two loops of wire carry the same current of 14 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.835 m while the other has a radius of 1.29 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.607 m from the first (smaller) loopif the disance between the loops is 1.61 m?
- a) 6.099E-03 T
- b) 6.709E-03 T
- c) 7.380E-03 T
- d) 8.118E-03 T
- e) 8.930E-03 T
- a) Bx= 6.171E-05 T
- b) Bx= 6.788E-05 T
- c) Bx= 7.467E-05 T
- d) Bx= 8.213E-05 T
- e) Bx= 9.035E-05 T
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.248 m and 0.459 T, then how much current (in the z-direction) flows through a circle of radius 0.152 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.228E+05 A
- b) 2.451E+05 A
- c) 2.696E+05 A
- d) 2.966E+05 A
- e) 3.262E+05 A
c12 R1
edit1) Two parallel wires each carry a 8.75 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.66 cm, 1.4 cm), while the other is located at (5.64 cm, 5.66 cm). What is the force per unit length between the wires?
- a) 2.449E-10 N/m
- b) 2.694E-10 N/m
- c) 2.963E-10 N/m
- d) 3.260E-10 N/m
- e) 3.586E-10 N/m
- a) Bx= 4.559E-05 T
- b) Bx= 5.015E-05 T
- c) Bx= 5.517E-05 T
- d) Bx= 6.068E-05 T
- e) Bx= 6.675E-05 T
3) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.253 m and 0.489 T, then how much current (in the z-direction) flows through a circle of radius 0.112 m that is centered on the axis with its plane perpendicular to the axis?
- a) 1.289E+05 A
- b) 1.418E+05 A
- c) 1.560E+05 A
- d) 1.716E+05 A
- e) 1.888E+05 A
4) Two loops of wire carry the same current of 88 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.655 m while the other has a radius of 1.11 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.531 m from the first (smaller) loopif the disance between the loops is 1.72 m?
- a) 4.162E-02 T
- b) 4.578E-02 T
- c) 5.036E-02 T
- d) 5.540E-02 T
- e) 6.094E-02 T
c12 R2
edit1) Two parallel wires each carry a 3.8 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.74 cm, 1.47 cm), while the other is located at (5.26 cm, 5.87 cm). What is the force per unit length between the wires?
- a) 5.926E-11 N/m
- b) 6.518E-11 N/m
- c) 7.170E-11 N/m
- d) 7.887E-11 N/m
- e) 8.676E-11 N/m
2) Two loops of wire carry the same current of 21 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.753 m while the other has a radius of 1.47 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.406 m from the first (smaller) loopif the disance between the loops is 1.38 m?
- a) 1.559E-02 T
- b) 1.715E-02 T
- c) 1.886E-02 T
- d) 2.075E-02 T
- e) 2.283E-02 T
- a) Bx= 9.053E-05 T
- b) Bx= 9.959E-05 T
- c) Bx= 1.095E-04 T
- d) Bx= 1.205E-04 T
- e) Bx= 1.325E-04 T
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.619 m and 0.215 T, then how much current (in the z-direction) flows through a circle of radius 0.351 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.534E+05 A
- b) 2.787E+05 A
- c) 3.066E+05 A
- d) 3.373E+05 A
- e) 3.710E+05 A
c12 S0
edit1) A wire carries a current of 250 A in a circular arc with radius 2.17 cm swept through 53 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 3.498E+00 Tesla
- b) 3.848E+00 Tesla
- c) 4.233E+00 Tesla
- d) 4.656E+00 Tesla
- e) 5.122E+00 Tesla
2) Two loops of wire carry the same current of 97 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.595 m while the other has a radius of 1.1 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.63 m from the first (smaller) loopif the disance between the loops is 1.72 m?
- a) 5.302E-02 T
- b) 5.832E-02 T
- c) 6.415E-02 T
- d) 7.056E-02 T
- e) 7.762E-02 T
- a) By= 6.718E-05 T
- b) By= 7.390E-05 T
- c) By= 8.129E-05 T
- d) By= 8.942E-05 T
- e) By= 9.836E-05 T
:
- a) 5.598E-03 T-m
- b) 6.158E-03 T-m
- c) 6.773E-03 T-m
- d) 7.451E-03 T-m
- e) 8.196E-03 T-m
c12 S1
edit- a) By= 1.191E-04 T
- b) By= 1.310E-04 T
- c) By= 1.441E-04 T
- d) By= 1.585E-04 T
- e) By= 1.744E-04 T
2) A wire carries a current of 338 A in a circular arc with radius 2.62 cm swept through 79 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 4.387E+00 Tesla
- b) 4.826E+00 Tesla
- c) 5.309E+00 Tesla
- d) 5.839E+00 Tesla
- e) 6.423E+00 Tesla
:
- a) 4.943E-03 T-m
- b) 5.438E-03 T-m
- c) 5.982E-03 T-m
- d) 6.580E-03 T-m
- e) 7.238E-03 T-m
4) Two loops of wire carry the same current of 29 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.76 m while the other has a radius of 1.12 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.544 m from the first (smaller) loopif the disance between the loops is 1.56 m?
- a) 1.950E-02 T
- b) 2.145E-02 T
- c) 2.360E-02 T
- d) 2.596E-02 T
- e) 2.855E-02 T
c12 S2
edit- a) By= 6.718E-05 T
- b) By= 7.390E-05 T
- c) By= 8.129E-05 T
- d) By= 8.942E-05 T
- e) By= 9.836E-05 T
2) A wire carries a current of 353 A in a circular arc with radius 2.44 cm swept through 86 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 5.891E+00 Tesla
- b) 6.481E+00 Tesla
- c) 7.129E+00 Tesla
- d) 7.841E+00 Tesla
- e) 8.626E+00 Tesla
:
- a) 5.598E-03 T-m
- b) 6.158E-03 T-m
- c) 6.773E-03 T-m
- d) 7.451E-03 T-m
- e) 8.196E-03 T-m
4) Two loops of wire carry the same current of 64 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.838 m while the other has a radius of 1.17 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?
- a) 3.863E-02 T
- b) 4.249E-02 T
- c) 4.674E-02 T
- d) 5.141E-02 T
- e) 5.655E-02 T
c12 T0
edit:
- a) 2.721E-03 T-m
- b) 2.993E-03 T-m
- c) 3.292E-03 T-m
- d) 3.621E-03 T-m
- e) 3.984E-03 T-m
2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.37 m and 0.556 T, then how much current (in the z-direction) flows through a circle of radius 0.14 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.171E+05 A
- b) 2.388E+05 A
- c) 2.627E+05 A
- d) 2.890E+05 A
- e) 3.179E+05 A
3) Two parallel wires each carry a 6.53 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.82 cm, 1.17 cm), while the other is located at (4.07 cm, 5.5 cm). What is the force per unit length between the wires?
- a) 1.788E-10 N/m
- b) 1.966E-10 N/m
- c) 2.163E-10 N/m
- d) 2.379E-10 N/m
- e) 2.617E-10 N/m
4) A wire carries a current of 202 A in a circular arc with radius 2.17 cm swept through 51 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 2.473E+00 Tesla
- b) 2.720E+00 Tesla
- c) 2.992E+00 Tesla
- d) 3.291E+00 Tesla
- e) 3.620E+00 Tesla
c12 T1
edit1) A wire carries a current of 297 A in a circular arc with radius 2.31 cm swept through 75 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 3.774E+00 Tesla
- b) 4.151E+00 Tesla
- c) 4.566E+00 Tesla
- d) 5.023E+00 Tesla
- e) 5.525E+00 Tesla
:
- a) 7.166E-04 T-m
- b) 7.883E-04 T-m
- c) 8.671E-04 T-m
- d) 9.538E-04 T-m
- e) 1.049E-03 T-m
3) Two parallel wires each carry a 6.26 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.4 cm, 1.42 cm), while the other is located at (5.56 cm, 4.99 cm). What is the force per unit length between the wires?
- a) 1.283E-10 N/m
- b) 1.411E-10 N/m
- c) 1.552E-10 N/m
- d) 1.708E-10 N/m
- e) 1.878E-10 N/m
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.547 m and 0.597 T, then how much current (in the z-direction) flows through a circle of radius 0.158 m that is centered on the axis with its plane perpendicular to the axis?
- a) 1.751E+05 A
- b) 1.927E+05 A
- c) 2.119E+05 A
- d) 2.331E+05 A
- e) 2.564E+05 A
c12 T2
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.619 m and 0.215 T, then how much current (in the z-direction) flows through a circle of radius 0.351 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.534E+05 A
- b) 2.787E+05 A
- c) 3.066E+05 A
- d) 3.373E+05 A
- e) 3.710E+05 A
2) A wire carries a current of 303 A in a circular arc with radius 2.2 cm swept through 72 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 3.881E+00 Tesla
- b) 4.269E+00 Tesla
- c) 4.696E+00 Tesla
- d) 5.165E+00 Tesla
- e) 5.682E+00 Tesla
:
- a) 1.622E-03 T-m
- b) 1.784E-03 T-m
- c) 1.963E-03 T-m
- d) 2.159E-03 T-m
- e) 2.375E-03 T-m
4) Two parallel wires each carry a 8.75 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.66 cm, 1.4 cm), while the other is located at (5.64 cm, 5.66 cm). What is the force per unit length between the wires?
- a) 2.449E-10 N/m
- b) 2.694E-10 N/m
- c) 2.963E-10 N/m
- d) 3.260E-10 N/m
- e) 3.586E-10 N/m
c12 U0
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.407 m and 0.605 T, then how much current (in the z-direction) flows through a circle of radius 0.196 m that is centered on the axis with its plane perpendicular to the axis?
- a) 3.583E+05 A
- b) 3.941E+05 A
- c) 4.335E+05 A
- d) 4.769E+05 A
- e) 5.246E+05 A
2) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 20 turns per centimeter and the current applied to the solenoid is 344 mA, the net magnetic field is measured to be 1.24 T. What is the magnetic susceptibility for this case?
- a) 1.185E+03
- b) 1.303E+03
- c) 1.433E+03
- d) 1.577E+03
- e) 1.734E+03
3) Two parallel wires each carry a 4.15 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.19 cm, 1.78 cm), while the other is located at (3.73 cm, 4.12 cm). What is the force per unit length between the wires?
- a) 1.434E-10 N/m
- b) 1.578E-10 N/m
- c) 1.736E-10 N/m
- d) 1.909E-10 N/m
- e) 2.100E-10 N/m
4) A solenoid has 4.730E+04 turns wound around a cylinder of diameter 1.46 cm and length 15 m. The current through the coils is 0.754 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−3.4 cm to z=+1.14 cm
- a) 1.121E-04 T-m
- b) 1.233E-04 T-m
- c) 1.356E-04 T-m
- d) 1.492E-04 T-m
- e) 1.641E-04 T-m
c12 U1
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.619 m and 0.215 T, then how much current (in the z-direction) flows through a circle of radius 0.351 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.534E+05 A
- b) 2.787E+05 A
- c) 3.066E+05 A
- d) 3.373E+05 A
- e) 3.710E+05 A
2) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 26 turns per centimeter and the current applied to the solenoid is 533 mA, the net magnetic field is measured to be 1.31 T. What is the magnetic susceptibility for this case?
- a) 7.512E+02
- b) 8.264E+02
- c) 9.090E+02
- d) 9.999E+02
- e) 1.100E+03
3) A solenoid has 7.690E+04 turns wound around a cylinder of diameter 1.63 cm and length 11 m. The current through the coils is 0.728 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.76 cm to z=+1.99 cm
- a) 2.762E-04 T-m
- b) 3.038E-04 T-m
- c) 3.342E-04 T-m
- d) 3.676E-04 T-m
- e) 4.043E-04 T-m
4) Two parallel wires each carry a 6.26 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.4 cm, 1.42 cm), while the other is located at (5.56 cm, 4.99 cm). What is the force per unit length between the wires?
- a) 1.283E-10 N/m
- b) 1.411E-10 N/m
- c) 1.552E-10 N/m
- d) 1.708E-10 N/m
- e) 1.878E-10 N/m
c12 U2
edit1) A solenoid has 5.160E+04 turns wound around a cylinder of diameter 1.55 cm and length 18 m. The current through the coils is 0.57 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.88 cm to z=+1.52 cm
- a) 6.788E-05 T-m
- b) 7.467E-05 T-m
- c) 8.213E-05 T-m
- d) 9.035E-05 T-m
- e) 9.938E-05 T-m
2) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 27 turns per centimeter and the current applied to the solenoid is 280 mA, the net magnetic field is measured to be 1.13 T. What is the magnetic susceptibility for this case?
- a) 1.188E+03
- b) 1.307E+03
- c) 1.438E+03
- d) 1.582E+03
- e) 1.740E+03
3) Two parallel wires each carry a 2.58 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.79 cm, 1.03 cm), while the other is located at (5.64 cm, 5.12 cm). What is the force per unit length between the wires?
- a) 2.634E-11 N/m
- b) 2.897E-11 N/m
- c) 3.187E-11 N/m
- d) 3.506E-11 N/m
- e) 3.856E-11 N/m
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.852 m and 0.476 T, then how much current (in the z-direction) flows through a circle of radius 0.212 m that is centered on the axis with its plane perpendicular to the axis?
- a) 1.502E+05 A
- b) 1.652E+05 A
- c) 1.817E+05 A
- d) 1.999E+05 A
- e) 2.199E+05 A
c12 V0
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.353 m and 0.697 T, then how much current (in the z-direction) flows through a circle of radius 0.196 m that is centered on the axis with its plane perpendicular to the axis?
- a) 5.479E+05 A
- b) 6.027E+05 A
- c) 6.630E+05 A
- d) 7.293E+05 A
- e) 8.022E+05 A
2) Two loops of wire carry the same current of 14 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.835 m while the other has a radius of 1.29 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.607 m from the first (smaller) loopif the disance between the loops is 1.61 m?
- a) 6.099E-03 T
- b) 6.709E-03 T
- c) 7.380E-03 T
- d) 8.118E-03 T
- e) 8.930E-03 T
3) A solenoid has 4.730E+04 turns wound around a cylinder of diameter 1.46 cm and length 15 m. The current through the coils is 0.754 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−3.4 cm to z=+1.14 cm
- a) 1.121E-04 T-m
- b) 1.233E-04 T-m
- c) 1.356E-04 T-m
- d) 1.492E-04 T-m
- e) 1.641E-04 T-m
- a) By= 6.833E-05 T
- b) By= 7.517E-05 T
- c) By= 8.268E-05 T
- d) By= 9.095E-05 T
- e) By= 1.000E-04 T
c12 V1
edit1) A solenoid has 9.560E+04 turns wound around a cylinder of diameter 1.18 cm and length 12 m. The current through the coils is 0.664 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−4.49 cm to z=+3.61 cm
- a) 4.895E-04 T-m
- b) 5.384E-04 T-m
- c) 5.923E-04 T-m
- d) 6.515E-04 T-m
- e) 7.167E-04 T-m
2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.52 m and 0.657 T, then how much current (in the z-direction) flows through a circle of radius 0.295 m that is centered on the axis with its plane perpendicular to the axis?
- a) 7.876E+05 A
- b) 8.664E+05 A
- c) 9.530E+05 A
- d) 1.048E+06 A
- e) 1.153E+06 A
- a) By= 4.028E-05 T
- b) By= 4.431E-05 T
- c) By= 4.874E-05 T
- d) By= 5.361E-05 T
- e) By= 5.897E-05 T
4) Two loops of wire carry the same current of 39 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.49 m while the other has a radius of 1.11 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.552 m from the first (smaller) loopif the disance between the loops is 1.62 m?
- a) 1.564E-02 T
- b) 1.720E-02 T
- c) 1.892E-02 T
- d) 2.081E-02 T
- e) 2.289E-02 T
c12 V2
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.353 m and 0.697 T, then how much current (in the z-direction) flows through a circle of radius 0.196 m that is centered on the axis with its plane perpendicular to the axis?
- a) 5.479E+05 A
- b) 6.027E+05 A
- c) 6.630E+05 A
- d) 7.293E+05 A
- e) 8.022E+05 A
- a) By= 3.480E-05 T
- b) By= 3.828E-05 T
- c) By= 4.210E-05 T
- d) By= 4.631E-05 T
- e) By= 5.095E-05 T
3) A solenoid has 5.980E+04 turns wound around a cylinder of diameter 1.8 cm and length 17 m. The current through the coils is 0.933 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−3.68 cm to z=+1.29 cm
- a) 1.863E-04 T-m
- b) 2.050E-04 T-m
- c) 2.255E-04 T-m
- d) 2.480E-04 T-m
- e) 2.728E-04 T-m
4) Two loops of wire carry the same current of 12 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.751 m while the other has a radius of 1.42 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.493 m from the first (smaller) loopif the disance between the loops is 1.26 m?
- a) 7.836E-03 T
- b) 8.620E-03 T
- c) 9.482E-03 T
- d) 1.043E-02 T
- e) 1.147E-02 T
c12 W0
edit1) Two loops of wire carry the same current of 64 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.838 m while the other has a radius of 1.17 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.528 m from the first (smaller) loopif the disance between the loops is 1.62 m?
- a) 3.863E-02 T
- b) 4.249E-02 T
- c) 4.674E-02 T
- d) 5.141E-02 T
- e) 5.655E-02 T
2) Two parallel wires each carry a 9.59 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.97 cm, 1.4 cm), while the other is located at (4.02 cm, 5.19 cm). What is the force per unit length between the wires?
- a) 4.412E-10 N/m
- b) 4.853E-10 N/m
- c) 5.338E-10 N/m
- d) 5.872E-10 N/m
- e) 6.459E-10 N/m
- a) By= 6.718E-05 T
- b) By= 7.390E-05 T
- c) By= 8.129E-05 T
- d) By= 8.942E-05 T
- e) By= 9.836E-05 T
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.353 m and 0.697 T, then how much current (in the z-direction) flows through a circle of radius 0.196 m that is centered on the axis with its plane perpendicular to the axis?
- a) 5.479E+05 A
- b) 6.027E+05 A
- c) 6.630E+05 A
- d) 7.293E+05 A
- e) 8.022E+05 A
c12 W1
edit- a) By= 7.035E-05 T
- b) By= 7.739E-05 T
- c) By= 8.512E-05 T
- d) By= 9.364E-05 T
- e) By= 1.030E-04 T
2) Two loops of wire carry the same current of 29 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.76 m while the other has a radius of 1.12 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.544 m from the first (smaller) loopif the disance between the loops is 1.56 m?
- a) 1.950E-02 T
- b) 2.145E-02 T
- c) 2.360E-02 T
- d) 2.596E-02 T
- e) 2.855E-02 T
3) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.37 m and 0.556 T, then how much current (in the z-direction) flows through a circle of radius 0.14 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.171E+05 A
- b) 2.388E+05 A
- c) 2.627E+05 A
- d) 2.890E+05 A
- e) 3.179E+05 A
4) Two parallel wires each carry a 9.08 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.17 cm, 1.32 cm), while the other is located at (5.72 cm, 4.47 cm). What is the force per unit length between the wires?
- a) 3.882E-10 N/m
- b) 4.270E-10 N/m
- c) 4.697E-10 N/m
- d) 5.167E-10 N/m
- e) 5.683E-10 N/m
c12 W2
edit- a) By= 9.388E-05 T
- b) By= 1.033E-04 T
- c) By= 1.136E-04 T
- d) By= 1.250E-04 T
- e) By= 1.375E-04 T
2) Two loops of wire carry the same current of 67 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.847 m while the other has a radius of 1.15 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.408 m from the first (smaller) loopif the disance between the loops is 1.15 m?
- a) 4.799E-02 T
- b) 5.278E-02 T
- c) 5.806E-02 T
- d) 6.387E-02 T
- e) 7.026E-02 T
3) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.619 m and 0.215 T, then how much current (in the z-direction) flows through a circle of radius 0.351 m that is centered on the axis with its plane perpendicular to the axis?
- a) 2.534E+05 A
- b) 2.787E+05 A
- c) 3.066E+05 A
- d) 3.373E+05 A
- e) 3.710E+05 A
4) Two parallel wires each carry a 7.75 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.62 cm, 1.31 cm), while the other is located at (4.63 cm, 5.53 cm). What is the force per unit length between the wires?
- a) 2.588E-10 N/m
- b) 2.847E-10 N/m
- c) 3.131E-10 N/m
- d) 3.444E-10 N/m
- e) 3.789E-10 N/m
c12 X0
edit:
- a) 1.724E-03 T-m
- b) 1.896E-03 T-m
- c) 2.086E-03 T-m
- d) 2.295E-03 T-m
- e) 2.524E-03 T-m
2) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.81 mm from the center of a wire of radius 3 mm if the current is 1A?
- a) 3.324E-05 T
- b) 3.657E-05 T
- c) 4.022E-05 T
- d) 4.424E-05 T
- e) 4.867E-05 T
3) Two parallel wires each carry a 9.59 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.97 cm, 1.4 cm), while the other is located at (4.02 cm, 5.19 cm). What is the force per unit length between the wires?
- a) 4.412E-10 N/m
- b) 4.853E-10 N/m
- c) 5.338E-10 N/m
- d) 5.872E-10 N/m
- e) 6.459E-10 N/m
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.852 m and 0.476 T, then how much current (in the z-direction) flows through a circle of radius 0.212 m that is centered on the axis with its plane perpendicular to the axis?
- a) 1.502E+05 A
- b) 1.652E+05 A
- c) 1.817E+05 A
- d) 1.999E+05 A
- e) 2.199E+05 A
c12 X1
edit:
- a) 1.133E-03 T-m
- b) 1.246E-03 T-m
- c) 1.371E-03 T-m
- d) 1.508E-03 T-m
- e) 1.659E-03 T-m
2) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.81 mm from the center of a wire of radius 3 mm if the current is 1A?
- a) 3.324E-05 T
- b) 3.657E-05 T
- c) 4.022E-05 T
- d) 4.424E-05 T
- e) 4.867E-05 T
3) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.568 m and 0.214 T, then how much current (in the z-direction) flows through a circle of radius 0.387 m that is centered on the axis with its plane perpendicular to the axis?
- a) 3.382E+05 A
- b) 3.720E+05 A
- c) 4.092E+05 A
- d) 4.502E+05 A
- e) 4.952E+05 A
4) Two parallel wires each carry a 9.08 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.17 cm, 1.32 cm), while the other is located at (5.72 cm, 4.47 cm). What is the force per unit length between the wires?
- a) 3.882E-10 N/m
- b) 4.270E-10 N/m
- c) 4.697E-10 N/m
- d) 5.167E-10 N/m
- e) 5.683E-10 N/m
c12 X2
edit1) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.86 mm from the center of a wire of radius 5 mm if the current is 1A?
- a) 1.488E-05 T
- b) 1.637E-05 T
- c) 1.800E-05 T
- d) 1.981E-05 T
- e) 2.179E-05 T
2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.52 m and 0.657 T, then how much current (in the z-direction) flows through a circle of radius 0.295 m that is centered on the axis with its plane perpendicular to the axis?
- a) 7.876E+05 A
- b) 8.664E+05 A
- c) 9.530E+05 A
- d) 1.048E+06 A
- e) 1.153E+06 A
3) Two parallel wires each carry a 6.26 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.4 cm, 1.42 cm), while the other is located at (5.56 cm, 4.99 cm). What is the force per unit length between the wires?
- a) 1.283E-10 N/m
- b) 1.411E-10 N/m
- c) 1.552E-10 N/m
- d) 1.708E-10 N/m
- e) 1.878E-10 N/m
:
- a) 1.017E-03 T-m
- b) 1.118E-03 T-m
- c) 1.230E-03 T-m
- d) 1.353E-03 T-m
- e) 1.489E-03 T-m
c12 Y0
edit- a) By= 7.035E-05 T
- b) By= 7.739E-05 T
- c) By= 8.512E-05 T
- d) By= 9.364E-05 T
- e) By= 1.030E-04 T
2) Two parallel wires each carry a 3.8 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.74 cm, 1.47 cm), while the other is located at (5.26 cm, 5.87 cm). What is the force per unit length between the wires?
- a) 5.926E-11 N/m
- b) 6.518E-11 N/m
- c) 7.170E-11 N/m
- d) 7.887E-11 N/m
- e) 8.676E-11 N/m
3) A solenoid has 3.950E+04 turns wound around a cylinder of diameter 1.64 cm and length 16 m. The current through the coils is 0.441 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.05 cm to z=+3.97 cm
- a) 6.807E-05 T-m
- b) 7.487E-05 T-m
- c) 8.236E-05 T-m
- d) 9.060E-05 T-m
- e) 9.966E-05 T-m
- a) Bx= 6.545E-05 T
- b) Bx= 7.200E-05 T
- c) Bx= 7.919E-05 T
- d) Bx= 8.711E-05 T
- e) Bx= 9.583E-05 T
c12 Y1
edit1) Two parallel wires each carry a 6.26 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.4 cm, 1.42 cm), while the other is located at (5.56 cm, 4.99 cm). What is the force per unit length between the wires?
- a) 1.283E-10 N/m
- b) 1.411E-10 N/m
- c) 1.552E-10 N/m
- d) 1.708E-10 N/m
- e) 1.878E-10 N/m
- a) By= 4.688E-05 T
- b) By= 5.156E-05 T
- c) By= 5.672E-05 T
- d) By= 6.239E-05 T
- e) By= 6.863E-05 T
- a) Bx= 5.409E-05 T
- b) Bx= 5.950E-05 T
- c) Bx= 6.545E-05 T
- d) Bx= 7.200E-05 T
- e) Bx= 7.920E-05 T
4) A solenoid has 4.900E+04 turns wound around a cylinder of diameter 1.74 cm and length 19 m. The current through the coils is 0.432 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−4.18 cm to z=+1.77 cm
- a) 6.884E-05 T-m
- b) 7.573E-05 T-m
- c) 8.330E-05 T-m
- d) 9.163E-05 T-m
- e) 1.008E-04 T-m
c12 Y2
edit1) Two parallel wires each carry a 1.65 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.59 cm, 1.81 cm), while the other is located at (5.78 cm, 4.43 cm). What is the force per unit length between the wires?
- a) 1.422E-11 N/m
- b) 1.564E-11 N/m
- c) 1.720E-11 N/m
- d) 1.892E-11 N/m
- e) 2.081E-11 N/m
2) A solenoid has 5.160E+04 turns wound around a cylinder of diameter 1.55 cm and length 18 m. The current through the coils is 0.57 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.88 cm to z=+1.52 cm
- a) 6.788E-05 T-m
- b) 7.467E-05 T-m
- c) 8.213E-05 T-m
- d) 9.035E-05 T-m
- e) 9.938E-05 T-m
- a) By= 6.118E-05 T
- b) By= 6.730E-05 T
- c) By= 7.403E-05 T
- d) By= 8.144E-05 T
- e) By= 8.958E-05 T
- a) Bx= 7.270E-05 T
- b) Bx= 7.997E-05 T
- c) Bx= 8.797E-05 T
- d) Bx= 9.677E-05 T
- e) Bx= 1.064E-04 T
c12 Z0
edit1) A wire carries a current of 109 A in a circular arc with radius 1.26 cm swept through 71 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 2.908E+00 Tesla
- b) 3.199E+00 Tesla
- c) 3.519E+00 Tesla
- d) 3.871E+00 Tesla
- e) 4.258E+00 Tesla
- a) Bx= 7.487E-05 T
- b) Bx= 8.236E-05 T
- c) Bx= 9.060E-05 T
- d) Bx= 9.966E-05 T
- e) Bx= 1.096E-04 T
:
- a) 1.018E-03 T-m
- b) 1.120E-03 T-m
- c) 1.232E-03 T-m
- d) 1.355E-03 T-m
- e) 1.490E-03 T-m
:
- a) 2.815E-03 T-m
- b) 3.097E-03 T-m
- c) 3.406E-03 T-m
- d) 3.747E-03 T-m
- e) 4.122E-03 T-m
c12 Z1
edit:
- a) 2.815E-03 T-m
- b) 3.097E-03 T-m
- c) 3.406E-03 T-m
- d) 3.747E-03 T-m
- e) 4.122E-03 T-m
2) A wire carries a current of 385 A in a circular arc with radius 1.53 cm swept through 58 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 5.711E+00 Tesla
- b) 6.283E+00 Tesla
- c) 6.911E+00 Tesla
- d) 7.602E+00 Tesla
- e) 8.362E+00 Tesla
- a) Bx= 4.559E-05 T
- b) Bx= 5.015E-05 T
- c) Bx= 5.517E-05 T
- d) Bx= 6.068E-05 T
- e) Bx= 6.675E-05 T
:
- a) 1.420E-03 T-m
- b) 1.562E-03 T-m
- c) 1.718E-03 T-m
- d) 1.890E-03 T-m
- e) 2.079E-03 T-m
c12 Z2
edit:
- a) 4.362E-03 T-m
- b) 4.798E-03 T-m
- c) 5.278E-03 T-m
- d) 5.806E-03 T-m
- e) 6.386E-03 T-m
2) A wire carries a current of 250 A in a circular arc with radius 2.17 cm swept through 53 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- a) 3.498E+00 Tesla
- b) 3.848E+00 Tesla
- c) 4.233E+00 Tesla
- d) 4.656E+00 Tesla
- e) 5.122E+00 Tesla
:
- a) 3.644E-03 T-m
- b) 4.009E-03 T-m
- c) 4.410E-03 T-m
- d) 4.850E-03 T-m
- e) 5.336E-03 T-m
- a) Bx= 7.270E-05 T
- b) Bx= 7.997E-05 T
- c) Bx= 8.797E-05 T
- d) Bx= 9.677E-05 T
- e) Bx= 1.064E-04 T
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- of 10 blank lines to separate exams from keys
- of 10 blank lines to separate exams from keys
- of 10 blank lines to separate exams from keys
- of 10 blank lines to separate exams from keys
- of 10 blank lines to separate exams from keys
- of 10 blank lines to separate exams from keys
- of 10 blank lines to separate exams from keys
- of 10 blank lines to separate exams from keys
- of 10 blank lines to separate exams from keys
- of 10 blank lines to separate exams from keys
Key: A0
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.432 m and 0.402 T, then how much current (in the z-direction) flows through a circle of radius 0.275 m that is centered on the axis with its plane perpendicular to the axis?
- -a) 3.277E+05 A
- -b) 3.604E+05 A
- -c) 3.965E+05 A
- -d) 4.361E+05 A
- +e) 4.797E+05 A
2) Two loops of wire carry the same current of 18 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.848 m while the other has a radius of 1.42 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.625 m from the first (smaller) loopif the disance between the loops is 1.55 m?
- -a) 7.952E-03 T
- -b) 8.747E-03 T
- -c) 9.622E-03 T
- -d) 1.058E-02 T
- +e) 1.164E-02 T
3) Two parallel wires each carry a 3.8 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.74 cm, 1.47 cm), while the other is located at (5.26 cm, 5.87 cm). What is the force per unit length between the wires?
- -a) 5.926E-11 N/m
- +b) 6.518E-11 N/m
- -c) 7.170E-11 N/m
- -d) 7.887E-11 N/m
- -e) 8.676E-11 N/m
4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?
- -a) 1.791E-05 T
- -b) 1.970E-05 T
- -c) 2.167E-05 T
- -d) 2.384E-05 T
- +e) 2.622E-05 T
Click these links for the keys:
Key: A1
edit1) Two parallel wires each carry a 1.65 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.59 cm, 1.81 cm), while the other is located at (5.78 cm, 4.43 cm). What is the force per unit length between the wires?
- -a) 1.422E-11 N/m
- -b) 1.564E-11 N/m
- -c) 1.720E-11 N/m
- +d) 1.892E-11 N/m
- -e) 2.081E-11 N/m
2) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?
- -a) 1.791E-05 T
- -b) 1.970E-05 T
- -c) 2.167E-05 T
- -d) 2.384E-05 T
- +e) 2.622E-05 T
3) Two loops of wire carry the same current of 67 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.847 m while the other has a radius of 1.15 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.408 m from the first (smaller) loopif the disance between the loops is 1.15 m?
- -a) 4.799E-02 T
- -b) 5.278E-02 T
- +c) 5.806E-02 T
- -d) 6.387E-02 T
- -e) 7.026E-02 T
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.871 m and 0.427 T, then how much current (in the z-direction) flows through a circle of radius 0.688 m that is centered on the axis with its plane perpendicular to the axis?
- +a) 1.404E+06 A
- -b) 1.544E+06 A
- -c) 1.699E+06 A
- -d) 1.869E+06 A
- -e) 2.056E+06 A
Click these links for the keys:
Key: A2
edit1) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.51 mm from the center of a wire of radius 5 mm if the current is 1A?
- +a) 1.208E-05 T
- -b) 1.329E-05 T
- -c) 1.462E-05 T
- -d) 1.608E-05 T
- -e) 1.769E-05 T
2) Two parallel wires each carry a 2.83 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.15 cm, 1.13 cm), while the other is located at (5.14 cm, 4.22 cm). What is the force per unit length between the wires?
- -a) 2.977E-11 N/m
- -b) 3.274E-11 N/m
- -c) 3.602E-11 N/m
- -d) 3.962E-11 N/m
- +e) 4.358E-11 N/m
3) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.645 m and 0.469 T, then how much current (in the z-direction) flows through a circle of radius 0.26 m that is centered on the axis with its plane perpendicular to the axis?
- -a) 2.949E+05 A
- -b) 3.244E+05 A
- -c) 3.568E+05 A
- +d) 3.925E+05 A
- -e) 4.317E+05 A
4) Two loops of wire carry the same current of 88 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.655 m while the other has a radius of 1.11 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.531 m from the first (smaller) loopif the disance between the loops is 1.72 m?
- -a) 4.162E-02 T
- -b) 4.578E-02 T
- -c) 5.036E-02 T
- +d) 5.540E-02 T
- -e) 6.094E-02 T
Click these links for the keys:
Key: B0
edit1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.571 m and 0.331 T, then how much current (in the z-direction) flows through a circle of radius 0.321 m that is centered on the axis with its plane perpendicular to the axis?
- -a) 3.226E+05 A
- -b) 3.549E+05 A
- -c) 3.904E+05 A
- +d) 4.294E+05 A
- -e) 4.724E+05 A
2) Two parallel wires each carry a 2.12 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.67 cm, 1.25 cm), while the other is located at (4.69 cm, 4.27 cm). What is the force per unit length between the wires?
- -a) 2.119E-11 N/m
- -b) 2.331E-11 N/m
- -c) 2.564E-11 N/m
- +d) 2.820E-11 N/m
- -e) 3.102E-11 N/m
- -a) Bx= 6.545E-05 T
- +b) Bx= 7.200E-05 T
- -c) Bx= 7.919E-05 T
- -d) Bx= 8.711E-05 T
- -e) Bx= 9.583E-05 T
4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.86 mm from the center of a wire of radius 3 mm if the current is 1A?
- -a) 3.416E-05 T
- -b) 3.758E-05 T
- +c) 4.133E-05 T
- -d) 4.547E-05 T
- -e) 5.001E-05 T
Click these links for the keys:
Key: B1
edit1) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.66 mm from the center of a wire of radius 5 mm if the current is 1A?
- -a) 1.935E-05 T
- +b) 2.128E-05 T
- -c) 2.341E-05 T
- -d) 2.575E-05 T
- -e) 2.832E-05 T
2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.52 m and 0.657 T, then how much current (in the z-direction) flows through a circle of radius 0.295 m that is centered on the axis with its plane perpendicular to the axis?
- +a) 7.876E+05 A
- -b) 8.664E+05 A
- -c) 9.530E+05 A
- -d) 1.048E+06 A
- -e) 1.153E+06 A
3) Two parallel wires each carry a 7.48 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.13 cm, 0.955 cm), while the other is located at (5.37 cm, 5.48 cm). What is the force per unit length between the wires?
- -a) 2.015E-10 N/m
- +b) 2.216E-10 N/m
- -c) 2.438E-10 N/m
- -d) 2.682E-10 N/m
- -e) 2.950E-10 N/m
- -a) Bx= 9.053E-05 T
- -b) Bx= 9.959E-05 T
- -c) Bx= 1.095E-04 T
- -d) Bx= 1.205E-04 T
- +e) Bx= 1.325E-04 T
Click these links for the keys:
Key: B2
edit- +a) Bx= 1.335E-04 T
- -b) Bx= 1.468E-04 T
- -c) Bx= 1.615E-04 T
- -d) Bx= 1.777E-04 T
- -e) Bx= 1.954E-04 T
2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.568 m and 0.214 T, then how much current (in the z-direction) flows through a circle of radius 0.387 m that is centered on the axis with its plane perpendicular to the axis?
- -a) 3.382E+05 A
- +b) 3.720E+05 A
- -c) 4.092E+05 A
- -d) 4.502E+05 A
- -e) 4.952E+05 A
3) Two parallel wires each carry a 3.51 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.14 cm, 1.43 cm), while the other is located at (4.14 cm, 5.23 cm). What is the force per unit length between the wires?
- +a) 6.484E-11 N/m
- -b) 7.133E-11 N/m
- -c) 7.846E-11 N/m
- -d) 8.631E-11 N/m
- -e) 9.494E-11 N/m
4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.66 mm from the center of a wire of radius 5 mm if the current is 1A?
- -a) 1.935E-05 T
- +b) 2.128E-05 T
- -c) 2.341E-05 T
- -d) 2.575E-05 T
- -e) 2.832E-05 T
Click these links for the keys:
Key: C0
edit- -a) By= 5.611E-05 T
- -b) By= 6.172E-05 T
- +c) By= 6.789E-05 T
- -d) By= 7.468E-05 T
- -e) By= 8.215E-05 T
- +a) Bx= 1.335E-04 T
- -b) Bx= 1.468E-04 T
- -c) Bx= 1.615E-04 T
- -d) Bx= 1.777E-04 T
- -e) Bx= 1.954E-04 T
3) A wire carries a current of 266 A in a circular arc with radius 2.21 cm swept through 73 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- +a) 5.034E+00 Tesla
- -b) 5.538E+00 Tesla
- -c) 6.091E+00 Tesla
- -d) 6.701E+00 Tesla
- -e) 7.371E+00 Tesla
4) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.59 mm from the center of a wire of radius 5 mm if the current is 1A?
- +a) 2.072E-05 T
- -b) 2.279E-05 T
- -c) 2.507E-05 T
- -d) 2.758E-05 T
- -e) 3.034E-05 T
Click these links for the keys:
Key: C1
edit1) A wire carries a current of 269 A in a circular arc with radius 2.35 cm swept through 36 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- -a) 1.613E+00 Tesla
- -b) 1.774E+00 Tesla
- -c) 1.951E+00 Tesla
- -d) 2.146E+00 Tesla
- +e) 2.361E+00 Tesla
- +a) By= 7.518E-05 T
- -b) By= 8.270E-05 T
- -c) By= 9.097E-05 T
- -d) By= 1.001E-04 T
- -e) By= 1.101E-04 T
3) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.81 mm from the center of a wire of radius 3 mm if the current is 1A?
- -a) 3.324E-05 T
- -b) 3.657E-05 T
- +c) 4.022E-05 T
- -d) 4.424E-05 T
- -e) 4.867E-05 T
- -a) Bx= 6.545E-05 T
- +b) Bx= 7.200E-05 T
- -c) Bx= 7.919E-05 T
- -d) Bx= 8.711E-05 T
- -e) Bx= 9.583E-05 T
Click these links for the keys:
Key: C2
edit1) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?
- -a) 1.791E-05 T
- -b) 1.970E-05 T
- -c) 2.167E-05 T
- -d) 2.384E-05 T
- +e) 2.622E-05 T
- -a) Bx= 3.394E-05 T
- -b) Bx= 3.733E-05 T
- -c) Bx= 4.106E-05 T
- -d) Bx= 4.517E-05 T
- +e) Bx= 4.969E-05 T
- -a) By= 7.576E-05 T
- +b) By= 8.333E-05 T
- -c) By= 9.167E-05 T
- -d) By= 1.008E-04 T
- -e) By= 1.109E-04 T
4) A wire carries a current of 250 A in a circular arc with radius 2.17 cm swept through 53 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- +a) 3.498E+00 Tesla
- -b) 3.848E+00 Tesla
- -c) 4.233E+00 Tesla
- -d) 4.656E+00 Tesla
- -e) 5.122E+00 Tesla
Click these links for the keys:
Key: D0
edit:
- -a) 3.583E-03 T-m
- -b) 3.941E-03 T-m
- +c) 4.335E-03 T-m
- -d) 4.769E-03 T-m
- -e) 5.246E-03 T-m
2) Two loops of wire carry the same current of 21 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.753 m while the other has a radius of 1.47 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.406 m from the first (smaller) loopif the disance between the loops is 1.38 m?
- -a) 1.559E-02 T
- +b) 1.715E-02 T
- -c) 1.886E-02 T
- -d) 2.075E-02 T
- -e) 2.283E-02 T
3) A wire carries a current of 106 A in a circular arc with radius 1.32 cm swept through 38 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- -a) 1.589E+00 Tesla
- +b) 1.748E+00 Tesla
- -c) 1.923E+00 Tesla
- -d) 2.116E+00 Tesla
- -e) 2.327E+00 Tesla
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.432 m and 0.402 T, then how much current (in the z-direction) flows through a circle of radius 0.275 m that is centered on the axis with its plane perpendicular to the axis?
- -a) 3.277E+05 A
- -b) 3.604E+05 A
- -c) 3.965E+05 A
- -d) 4.361E+05 A
- +e) 4.797E+05 A
Click these links for the keys:
Key: D1
edit1) A wire carries a current of 385 A in a circular arc with radius 1.53 cm swept through 58 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- -a) 5.711E+00 Tesla
- -b) 6.283E+00 Tesla
- -c) 6.911E+00 Tesla
- -d) 7.602E+00 Tesla
- +e) 8.362E+00 Tesla
2) Two loops of wire carry the same current of 20 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.776 m while the other has a radius of 1.2 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.517 m from the first (smaller) loopif the disance between the loops is 1.37 m?
- -a) 1.127E-02 T
- -b) 1.240E-02 T
- -c) 1.364E-02 T
- +d) 1.500E-02 T
- -e) 1.650E-02 T
:
- +a) 4.939E-03 T-m
- -b) 5.432E-03 T-m
- -c) 5.976E-03 T-m
- -d) 6.573E-03 T-m
- -e) 7.231E-03 T-m
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.248 m and 0.459 T, then how much current (in the z-direction) flows through a circle of radius 0.152 m that is centered on the axis with its plane perpendicular to the axis?
- -a) 2.228E+05 A
- -b) 2.451E+05 A
- -c) 2.696E+05 A
- +d) 2.966E+05 A
- -e) 3.262E+05 A
Click these links for the keys:
Key: D2
edit1) Two loops of wire carry the same current of 24 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.53 m while the other has a radius of 1.38 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.485 m from the first (smaller) loopif the disance between the loops is 1.78 m?
- -a) 1.294E-02 T
- -b) 1.424E-02 T
- +c) 1.566E-02 T
- -d) 1.723E-02 T
- -e) 1.895E-02 T
:
- -a) 5.255E-03 T-m
- -b) 5.781E-03 T-m
- +c) 6.359E-03 T-m
- -d) 6.994E-03 T-m
- -e) 7.694E-03 T-m
3) A wire carries a current of 297 A in a circular arc with radius 2.31 cm swept through 75 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?
- -a) 3.774E+00 Tesla
- -b) 4.151E+00 Tesla
- -c) 4.566E+00 Tesla
- -d) 5.023E+00 Tesla
- +e) 5.525E+00 Tesla
4) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for is,
,
where is the maximum magnetic field (at ). If 0.407 m and 0.605 T, then how much current (in the z-direction) flows through a circle of radius