Quizbank/Electricity and Magnetism (calculus based)/QB153099154232

QB153099154232

QB:Ch 5:V0

QB153099154232

1)

Three small charged objects are placed as shown, where $b=2a$, and $a=2\times 10^{-7}{\text{m}}$. What is the magnitude of the net force on $q_{2}$ if $q_{1}=1e$, $q_{2}=-7e$, and $q_{3}=3e$?

a) 4.171E-14 N

b) 4.588E-14 N

c) 5.047E-14 N

d) 5.551E-14 N

e) 6.107E-14 N

2)

 $E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate $f(x,y)$ at x=0.96 m if a=0.95 m, b=1.8 m. The total charge on the rod is 7 nC.

a) 3.385E+00 V/m²

b) 3.724E+00 V/m²

c) 4.096E+00 V/m²

d) 4.506E+00 V/m²

e) 4.957E+00 V/m²

3)  $E(z)=\int _{0}^{R}f(r',z)dr'$
is an integral that calculates the magnitude of the electric field at a distance $z$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is $R=2.0{\text{ m}}$ and the surface charge density is $\sigma =9{\text{ nC/m}}^{3}$. Evaluate $f(r',z)$ at $r'=1.2{\text{ m}}$.

a) 8.933E+00 V/m²

b) 9.826E+00 V/m²

c) 1.081E+01 V/m²

d) 1.189E+01 V/m²

e) 1.308E+01 V/m²

KEY:QB:Ch 5:V0

QB153099154232

1)

Three small charged objects are placed as shown, where $b=2a$, and $a=2\times 10^{-7}{\text{m}}$. What is the magnitude of the net force on $q_{2}$ if $q_{1}=1e$, $q_{2}=-7e$, and $q_{3}=3e$?

-a) 4.171E-14 N

-b) 4.588E-14 N

+c) 5.047E-14 N

-d) 5.551E-14 N

-e) 6.107E-14 N

2)

 $E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate $f(x,y)$ at x=0.96 m if a=0.95 m, b=1.8 m. The total charge on the rod is 7 nC.

-a) 3.385E+00 V/m²

-b) 3.724E+00 V/m²

-c) 4.096E+00 V/m²

+d) 4.506E+00 V/m²

-e) 4.957E+00 V/m²

3)  $E(z)=\int _{0}^{R}f(r',z)dr'$
is an integral that calculates the magnitude of the electric field at a distance $z$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is $R=2.0{\text{ m}}$ and the surface charge density is $\sigma =9{\text{ nC/m}}^{3}$. Evaluate $f(r',z)$ at $r'=1.2{\text{ m}}$.

-a) 8.933E+00 V/m²

-b) 9.826E+00 V/m²

+c) 1.081E+01 V/m²

-d) 1.189E+01 V/m²

-e) 1.308E+01 V/m²

QB:Ch 5:V1

QB153099154232

1)  $E(z)=\int _{0}^{R}f(r',z)dr'$
is an integral that calculates the magnitude of the electric field at a distance $z$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is $R=8.3{\text{ m}}$ and the surface charge density is $\sigma =5{\text{ nC/m}}^{3}$. Evaluate $f(r',z)$ at $r'=5.3{\text{ m}}$.

a) 1.022E+00 V/m²

b) 1.125E+00 V/m²

c) 1.237E+00 V/m²

d) 1.361E+00 V/m²

e) 1.497E+00 V/m²

2)

 $E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate $f(x,y)$ at x=0.79 m if a=0.75 m, b=2.1 m. The total charge on the rod is 6 nC.

a) 5.825E+00 V/m²

b) 6.407E+00 V/m²

c) 7.048E+00 V/m²

d) 7.753E+00 V/m²

e) 8.528E+00 V/m²

3)

Three small charged objects are placed as shown, where $b=2a$, and $a=4\times 10^{-7}{\text{m}}$. What is the magnitude of the net force on $q_{2}$ if $q_{1}=2e$, $q_{2}=-8e$, and $q_{3}=5e$?

a) 2.248E-14 N

b) 2.473E-14 N

c) 2.721E-14 N

d) 2.993E-14 N

e) 3.292E-14 N

KEY:QB:Ch 5:V1

QB153099154232

1)  $E(z)=\int _{0}^{R}f(r',z)dr'$
is an integral that calculates the magnitude of the electric field at a distance $z$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is $R=8.3{\text{ m}}$ and the surface charge density is $\sigma =5{\text{ nC/m}}^{3}$. Evaluate $f(r',z)$ at $r'=5.3{\text{ m}}$.

+a) 1.022E+00 V/m²

-b) 1.125E+00 V/m²

-c) 1.237E+00 V/m²

-d) 1.361E+00 V/m²

-e) 1.497E+00 V/m²

2)

 $E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate $f(x,y)$ at x=0.79 m if a=0.75 m, b=2.1 m. The total charge on the rod is 6 nC.

+a) 5.825E+00 V/m²

-b) 6.407E+00 V/m²

-c) 7.048E+00 V/m²

-d) 7.753E+00 V/m²

-e) 8.528E+00 V/m²

3)

Three small charged objects are placed as shown, where $b=2a$, and $a=4\times 10^{-7}{\text{m}}$. What is the magnitude of the net force on $q_{2}$ if $q_{1}=2e$, $q_{2}=-8e$, and $q_{3}=5e$?

-a) 2.248E-14 N

-b) 2.473E-14 N

+c) 2.721E-14 N

-d) 2.993E-14 N

-e) 3.292E-14 N

QB:Ch 5:V2

QB153099154232

1)

 $E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.6 m. Evaluate $f(x,y)$ at x=0.73 m if a=0.64 m, b=1.8 m. The total charge on the rod is 3 nC.

a) 2.955E+00 V/m²

b) 3.250E+00 V/m²

c) 3.575E+00 V/m²

d) 3.933E+00 V/m²

e) 4.326E+00 V/m²

2)

Three small charged objects are placed as shown, where $b=2a$, and $a=4\times 10^{-7}{\text{m}}$. What is the magnitude of the net force on $q_{2}$ if $q_{1}=1e$, $q_{2}=-7e$, and $q_{3}=4e$?

a) 9.750E-15 N

b) 1.072E-14 N

c) 1.180E-14 N

d) 1.298E-14 N

e) 1.427E-14 N

3)  $E(z)=\int _{0}^{R}f(r',z)dr'$
is an integral that calculates the magnitude of the electric field at a distance $z$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is $R=8.1{\text{ m}}$ and the surface charge density is $\sigma =3{\text{ nC/m}}^{3}$. Evaluate $f(r',z)$ at $r'=4.2{\text{ m}}$.

a) 5.134E-01 V/m²

b) 5.648E-01 V/m²

c) 6.212E-01 V/m²

d) 6.834E-01 V/m²

e) 7.517E-01 V/m²

KEY:QB:Ch 5:V2

QB153099154232

1)

 $E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.6 m. Evaluate $f(x,y)$ at x=0.73 m if a=0.64 m, b=1.8 m. The total charge on the rod is 3 nC.

-a) 2.955E+00 V/m²

+b) 3.250E+00 V/m²

-c) 3.575E+00 V/m²

-d) 3.933E+00 V/m²

-e) 4.326E+00 V/m²

2)

Three small charged objects are placed as shown, where $b=2a$, and $a=4\times 10^{-7}{\text{m}}$. What is the magnitude of the net force on $q_{2}$ if $q_{1}=1e$, $q_{2}=-7e$, and $q_{3}=4e$?

-a) 9.750E-15 N

-b) 1.072E-14 N

-c) 1.180E-14 N

-d) 1.298E-14 N

+e) 1.427E-14 N

3)  $E(z)=\int _{0}^{R}f(r',z)dr'$
is an integral that calculates the magnitude of the electric field at a distance $z$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is $R=8.1{\text{ m}}$ and the surface charge density is $\sigma =3{\text{ nC/m}}^{3}$. Evaluate $f(r',z)$ at $r'=4.2{\text{ m}}$.

-a) 5.134E-01 V/m²

+b) 5.648E-01 V/m²

-c) 6.212E-01 V/m²

-d) 6.834E-01 V/m²

-e) 7.517E-01 V/m²

QB:Ch 6:V0

QB153099154232

1)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.4 m. The other four surfaces are rectangles in y=y₀=1.6 m, y=y₁=4.2 m, z=z₀=1.1 m, and z=z₁=5.9 m. The surfaces in the yz plane each have area 12.0m². Those in the xy plane have area 3.6m² ,and those in the zx plane have area 6.7m². An electric field of magnitude 16 N/C has components in the y and z directions and is directed at 53° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

a) 4.420E+01 N·m²/C

b) 4.862E+01 N·m²/C

c) 5.348E+01 N·m²/C

d) 5.882E+01 N·m²/C

e) 6.471E+01 N·m²/C

2)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.1 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=4.2 m, z=z₀=1.1 m, and z=z₁=4.5 m. The surfaces in the yz plane each have area 8.5m². Those in the xy plane have area 2.8m² ,and those in the zx plane have area 3.7m². An electric field has the xyz components (0, 7.4, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

a) 2.079E+01 N·m²/C

b) 2.287E+01 N·m²/C

c) 2.516E+01 N·m²/C

d) 2.768E+01 N·m²/C

e) 3.044E+01 N·m²/C

3) A non-conducting sphere of radius R=3.1 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.2 (r≤R) where a=2 nC·m^-1.8. What is the magnitude of the electric field at a distance of 2.7 m from the center?

a) 4.782E+02 N/C

b) 5.260E+02 N/C

c) 5.787E+02 N/C

d) 6.365E+02 N/C

e) 7.002E+02 N/C

KEY:QB:Ch 6:V0

QB153099154232

1)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.4 m. The other four surfaces are rectangles in y=y₀=1.6 m, y=y₁=4.2 m, z=z₀=1.1 m, and z=z₁=5.9 m. The surfaces in the yz plane each have area 12.0m². Those in the xy plane have area 3.6m² ,and those in the zx plane have area 6.7m². An electric field of magnitude 16 N/C has components in the y and z directions and is directed at 53° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 4.420E+01 N·m²/C

-b) 4.862E+01 N·m²/C

-c) 5.348E+01 N·m²/C

-d) 5.882E+01 N·m²/C

+e) 6.471E+01 N·m²/C

2)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.1 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=4.2 m, z=z₀=1.1 m, and z=z₁=4.5 m. The surfaces in the yz plane each have area 8.5m². Those in the xy plane have area 2.8m² ,and those in the zx plane have area 3.7m². An electric field has the xyz components (0, 7.4, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 2.079E+01 N·m²/C

-b) 2.287E+01 N·m²/C

-c) 2.516E+01 N·m²/C

+d) 2.768E+01 N·m²/C

-e) 3.044E+01 N·m²/C

3) A non-conducting sphere of radius R=3.1 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.2 (r≤R) where a=2 nC·m^-1.8. What is the magnitude of the electric field at a distance of 2.7 m from the center?

+a) 4.782E+02 N/C

-b) 5.260E+02 N/C

-c) 5.787E+02 N/C

-d) 6.365E+02 N/C

-e) 7.002E+02 N/C

QB:Ch 6:V1

QB153099154232

1)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.4 m. The other four surfaces are rectangles in y=y₀=1.1 m, y=y₁=4.8 m, z=z₀=1.8 m, and z=z₁=4.8 m. The surfaces in the yz plane each have area 11.0m². Those in the xy plane have area 8.9m² ,and those in the zx plane have area 7.2m². An electric field has the xyz components (0, 5.9, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

a) 2.901E+01 N·m²/C

b) 3.192E+01 N·m²/C

c) 3.511E+01 N·m²/C

d) 3.862E+01 N·m²/C

e) 4.248E+01 N·m²/C

2)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.4 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=5.8 m, z=z₀=1.3 m, and z=z₁=4.4 m. The surfaces in the yz plane each have area 13.0m². Those in the xy plane have area 9.8m² ,and those in the zx plane have area 7.4m². An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 46° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

a) 8.457E+01 N·m²/C

b) 9.303E+01 N·m²/C

c) 1.023E+02 N·m²/C

d) 1.126E+02 N·m²/C

e) 1.238E+02 N·m²/C

3) A non-conducting sphere of radius R=3.5 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.5 (r≤R) where a=2 nC·m^-1.5. What is the magnitude of the electric field at a distance of 2.2 m from the center?

a) 3.604E+02 N/C

b) 3.964E+02 N/C

c) 4.360E+02 N/C

d) 4.796E+02 N/C

e) 5.276E+02 N/C

KEY:QB:Ch 6:V1

QB153099154232

1)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.4 m. The other four surfaces are rectangles in y=y₀=1.1 m, y=y₁=4.8 m, z=z₀=1.8 m, and z=z₁=4.8 m. The surfaces in the yz plane each have area 11.0m². Those in the xy plane have area 8.9m² ,and those in the zx plane have area 7.2m². An electric field has the xyz components (0, 5.9, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 2.901E+01 N·m²/C

-b) 3.192E+01 N·m²/C

-c) 3.511E+01 N·m²/C

-d) 3.862E+01 N·m²/C

+e) 4.248E+01 N·m²/C

2)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.4 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=5.8 m, z=z₀=1.3 m, and z=z₁=4.4 m. The surfaces in the yz plane each have area 13.0m². Those in the xy plane have area 9.8m² ,and those in the zx plane have area 7.4m². An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 46° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 8.457E+01 N·m²/C

+b) 9.303E+01 N·m²/C

-c) 1.023E+02 N·m²/C

-d) 1.126E+02 N·m²/C

-e) 1.238E+02 N·m²/C

3) A non-conducting sphere of radius R=3.5 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.5 (r≤R) where a=2 nC·m^-1.5. What is the magnitude of the electric field at a distance of 2.2 m from the center?

+a) 3.604E+02 N/C

-b) 3.964E+02 N/C

-c) 4.360E+02 N/C

-d) 4.796E+02 N/C

-e) 5.276E+02 N/C

QB:Ch 6:V2

QB153099154232

1)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.1 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=5.0 m, z=z₀=1.8 m, and z=z₁=5.7 m. The surfaces in the yz plane each have area 14.0m². Those in the xy plane have area 3.9m² ,and those in the zx plane have area 4.3m². An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 31° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

a) 4.521E+01 N·m²/C

b) 4.973E+01 N·m²/C

c) 5.470E+01 N·m²/C

d) 6.017E+01 N·m²/C

e) 6.619E+01 N·m²/C

2)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.3 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=5.2 m, z=z₀=1.8 m, and z=z₁=4.4 m. The surfaces in the yz plane each have area 9.6m². Those in the xy plane have area 8.5m² ,and those in the zx plane have area 6.0m². An electric field has the xyz components (0, 8.7, 8.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

a) 4.730E+01 N·m²/C

b) 5.203E+01 N·m²/C

c) 5.723E+01 N·m²/C

d) 6.295E+01 N·m²/C

e) 6.925E+01 N·m²/C

3) A non-conducting sphere of radius R=3.9 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.4 (r≤R) where a=2 nC·m^-1.6. What is the magnitude of the electric field at a distance of 2.6 m from the center?

a) 3.821E+02 N/C

b) 4.203E+02 N/C

c) 4.624E+02 N/C

d) 5.086E+02 N/C

e) 5.594E+02 N/C

KEY:QB:Ch 6:V2

QB153099154232

1)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.1 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=5.0 m, z=z₀=1.8 m, and z=z₁=5.7 m. The surfaces in the yz plane each have area 14.0m². Those in the xy plane have area 3.9m² ,and those in the zx plane have area 4.3m². An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 31° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 4.521E+01 N·m²/C

-b) 4.973E+01 N·m²/C

-c) 5.470E+01 N·m²/C

-d) 6.017E+01 N·m²/C

+e) 6.619E+01 N·m²/C

2)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.3 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=5.2 m, z=z₀=1.8 m, and z=z₁=4.4 m. The surfaces in the yz plane each have area 9.6m². Those in the xy plane have area 8.5m² ,and those in the zx plane have area 6.0m². An electric field has the xyz components (0, 8.7, 8.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

-a) 4.730E+01 N·m²/C

+b) 5.203E+01 N·m²/C

-c) 5.723E+01 N·m²/C

-d) 6.295E+01 N·m²/C

-e) 6.925E+01 N·m²/C

3) A non-conducting sphere of radius R=3.9 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.4 (r≤R) where a=2 nC·m^-1.6. What is the magnitude of the electric field at a distance of 2.6 m from the center?

-a) 3.821E+02 N/C

-b) 4.203E+02 N/C

-c) 4.624E+02 N/C

+d) 5.086E+02 N/C

-e) 5.594E+02 N/C

QB:Ch 7:V0

QB153099154232

1)

A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.85 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.18 cm, y=1.93 cm)? Note that following the textbook's example, the y-value of the field point at 1.93 cm matches the disance of the positive charge above the x-axis.

a) 3.866E+02 V

b) 4.253E+02 V

c) 4.678E+02 V

d) 5.146E+02 V

e) 5.661E+02 V

2) Assume that a 24 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P₁ and P₂ where the polar coordinates (r,φ) of P₁ are (9 cm, 0°) and P₂ is at (13 cm, 27°).

a) 5.540E+02 V

b) 6.095E+02 V

c) 6.704E+02 V

d) 7.374E+02 V

e) 8.112E+02 V

3)

Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q₁=3 μC, q₂=4 μC, q₃=6 μC, and q₄=8 μC. How much work was required to assemble these four charges from infinity?

a) 2.343E+01 J

b) 2.577E+01 J

c) 2.835E+01 J

d) 3.118E+01 J

e) 3.430E+01 J

KEY:QB:Ch 7:V0

QB153099154232

1)

A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.85 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.18 cm, y=1.93 cm)? Note that following the textbook's example, the y-value of the field point at 1.93 cm matches the disance of the positive charge above the x-axis.

-a) 3.866E+02 V

-b) 4.253E+02 V

-c) 4.678E+02 V

+d) 5.146E+02 V

-e) 5.661E+02 V

2) Assume that a 24 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P₁ and P₂ where the polar coordinates (r,φ) of P₁ are (9 cm, 0°) and P₂ is at (13 cm, 27°).

-a) 5.540E+02 V

-b) 6.095E+02 V

-c) 6.704E+02 V

+d) 7.374E+02 V

-e) 8.112E+02 V

3)

Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q₁=3 μC, q₂=4 μC, q₃=6 μC, and q₄=8 μC. How much work was required to assemble these four charges from infinity?

-a) 2.343E+01 J

+b) 2.577E+01 J

-c) 2.835E+01 J

-d) 3.118E+01 J

-e) 3.430E+01 J

QB:Ch 7:V1

QB153099154232

1)

A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.

a) 4.104E+02 V

b) 4.514E+02 V

c) 4.965E+02 V

d) 5.462E+02 V

e) 6.008E+02 V

2) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P₁ and P₂ where the polar coordinates (r,φ) of P₁ are (7 cm, 0°) and P₂ is at (16 cm, 11°).

a) 3.581E+02 V

b) 3.939E+02 V

c) 4.333E+02 V

d) 4.767E+02 V

e) 5.243E+02 V

3)

Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q₁=4 μC, q₂=7 μC, q₃=8 μC, and q₄=11 μC. How much work was required to assemble these four charges from infinity?

a) 7.982E+01 J

b) 8.780E+01 J

c) 9.658E+01 J

d) 1.062E+02 J

e) 1.169E+02 J

KEY:QB:Ch 7:V1

QB153099154232

1)

A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.

-a) 4.104E+02 V

-b) 4.514E+02 V

-c) 4.965E+02 V

-d) 5.462E+02 V

+e) 6.008E+02 V

2) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P₁ and P₂ where the polar coordinates (r,φ) of P₁ are (7 cm, 0°) and P₂ is at (16 cm, 11°).

-a) 3.581E+02 V

-b) 3.939E+02 V

+c) 4.333E+02 V

-d) 4.767E+02 V

-e) 5.243E+02 V

3)

Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q₁=4 μC, q₂=7 μC, q₃=8 μC, and q₄=11 μC. How much work was required to assemble these four charges from infinity?

-a) 7.982E+01 J

+b) 8.780E+01 J

-c) 9.658E+01 J

-d) 1.062E+02 J

-e) 1.169E+02 J

QB:Ch 7:V2

QB153099154232

1)

A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.

a) 4.104E+02 V

b) 4.514E+02 V

c) 4.965E+02 V

d) 5.462E+02 V

e) 6.008E+02 V

2) Assume that a 11 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P₁ and P₂ where the polar coordinates (r,φ) of P₁ are (9 cm, 0°) and P₂ is at (12 cm, 14°).

a) 1.876E+02 V

b) 2.063E+02 V

c) 2.270E+02 V

d) 2.497E+02 V

e) 2.746E+02 V

3)

Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q₁=4 μC, q₂=6 μC, q₃=9 μC, and q₄=11 μC. How much work was required to assemble these four charges from infinity?

a) 6.598E+01 J

b) 7.258E+01 J

c) 7.983E+01 J

d) 8.782E+01 J

e) 9.660E+01 J

KEY:QB:Ch 7:V2

QB153099154232

1)

A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.

-a) 4.104E+02 V

-b) 4.514E+02 V

-c) 4.965E+02 V

-d) 5.462E+02 V

+e) 6.008E+02 V

2) Assume that a 11 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P₁ and P₂ where the polar coordinates (r,φ) of P₁ are (9 cm, 0°) and P₂ is at (12 cm, 14°).

-a) 1.876E+02 V

-b) 2.063E+02 V

-c) 2.270E+02 V

-d) 2.497E+02 V

+e) 2.746E+02 V

3)

Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q₁=4 μC, q₂=6 μC, q₃=9 μC, and q₄=11 μC. How much work was required to assemble these four charges from infinity?

-a) 6.598E+01 J

-b) 7.258E+01 J

-c) 7.983E+01 J

+d) 8.782E+01 J

-e) 9.660E+01 J

QB:Ch 8:V0

QB153099154232

1)

In the figure shown C₁=20.6 μF, C₂=2.38 μF, and C₃=5.66 μF. The voltage source provides ε=12.6 V. What is the charge on C₁?

a) 5.474E+01 μC

b) 6.022E+01 μC

c) 6.624E+01 μC

d) 7.287E+01 μC

e) 8.015E+01 μC

2) An empty parallel-plate capacitor with metal plates has an area of 2.04 m², separated by 1.21 mm. How much charge does it store if the voltage is 7.730E+03 V?

a) 1.049E+02 μC

b) 1.154E+02 μC

c) 1.269E+02 μC

d) 1.396E+02 μC

e) 1.536E+02 μC

3)

In the figure shown C₁=18.1 μF, C₂=2.13 μF, and C₃=5.48 μF. The voltage source provides ε=14.6 V. What is the energy stored in C₂?

a) 1.645E+01 μJ

b) 1.809E+01 μJ

c) 1.990E+01 μJ

d) 2.189E+01 μJ

e) 2.408E+01 μJ

KEY:QB:Ch 8:V0

QB153099154232

1)

In the figure shown C₁=20.6 μF, C₂=2.38 μF, and C₃=5.66 μF. The voltage source provides ε=12.6 V. What is the charge on C₁?

-a) 5.474E+01 μC

-b) 6.022E+01 μC

-c) 6.624E+01 μC

+d) 7.287E+01 μC

-e) 8.015E+01 μC

2) An empty parallel-plate capacitor with metal plates has an area of 2.04 m², separated by 1.21 mm. How much charge does it store if the voltage is 7.730E+03 V?

-a) 1.049E+02 μC

+b) 1.154E+02 μC

-c) 1.269E+02 μC

-d) 1.396E+02 μC

-e) 1.536E+02 μC

3)

In the figure shown C₁=18.1 μF, C₂=2.13 μF, and C₃=5.48 μF. The voltage source provides ε=14.6 V. What is the energy stored in C₂?

-a) 1.645E+01 μJ

-b) 1.809E+01 μJ

-c) 1.990E+01 μJ

+d) 2.189E+01 μJ

-e) 2.408E+01 μJ

QB:Ch 8:V1

QB153099154232

1)

In the figure shown C₁=17.9 μF, C₂=2.76 μF, and C₃=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C₁?

a) 5.969E+01 μC

b) 6.566E+01 μC

c) 7.222E+01 μC

d) 7.944E+01 μC

e) 8.739E+01 μC

2)

In the figure shown C₁=19.2 μF, C₂=2.71 μF, and C₃=5.52 μF. The voltage source provides ε=15.0 V. What is the energy stored in C₂?

a) 2.138E+01 μJ

b) 2.352E+01 μJ

c) 2.587E+01 μJ

d) 2.845E+01 μJ

e) 3.130E+01 μJ

3) An empty parallel-plate capacitor with metal plates has an area of 2.66 m², separated by 1.18 mm. How much charge does it store if the voltage is 6.170E+03 V?

a) 1.231E+02 μC

b) 1.355E+02 μC

c) 1.490E+02 μC

d) 1.639E+02 μC

e) 1.803E+02 μC

KEY:QB:Ch 8:V1

QB153099154232

1)

In the figure shown C₁=17.9 μF, C₂=2.76 μF, and C₃=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C₁?

-a) 5.969E+01 μC

-b) 6.566E+01 μC

+c) 7.222E+01 μC

-d) 7.944E+01 μC

-e) 8.739E+01 μC

2)

In the figure shown C₁=19.2 μF, C₂=2.71 μF, and C₃=5.52 μF. The voltage source provides ε=15.0 V. What is the energy stored in C₂?

-a) 2.138E+01 μJ

-b) 2.352E+01 μJ

-c) 2.587E+01 μJ

+d) 2.845E+01 μJ

-e) 3.130E+01 μJ

3) An empty parallel-plate capacitor with metal plates has an area of 2.66 m², separated by 1.18 mm. How much charge does it store if the voltage is 6.170E+03 V?

+a) 1.231E+02 μC

-b) 1.355E+02 μC

-c) 1.490E+02 μC

-d) 1.639E+02 μC

-e) 1.803E+02 μC

QB:Ch 8:V2

QB153099154232

1)

In the figure shown C₁=16.1 μF, C₂=2.14 μF, and C₃=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C₂?

a) 1.199E+01 μJ

b) 1.319E+01 μJ

c) 1.450E+01 μJ

d) 1.595E+01 μJ

e) 1.755E+01 μJ

2) An empty parallel-plate capacitor with metal plates has an area of 2.1 m², separated by 1.13 mm. How much charge does it store if the voltage is 1.680E+03 V?

a) 2.764E+01 μC

b) 3.041E+01 μC

c) 3.345E+01 μC

d) 3.679E+01 μC

e) 4.047E+01 μC

3)

In the figure shown C₁=15.4 μF, C₂=2.83 μF, and C₃=4.99 μF. The voltage source provides ε=6.51 V. What is the charge on C₁?

a) 2.306E+01 μC

b) 2.537E+01 μC

c) 2.790E+01 μC

d) 3.069E+01 μC

e) 3.376E+01 μC

KEY:QB:Ch 8:V2

QB153099154232

1)

In the figure shown C₁=16.1 μF, C₂=2.14 μF, and C₃=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C₂?

+a) 1.199E+01 μJ

-b) 1.319E+01 μJ

-c) 1.450E+01 μJ

-d) 1.595E+01 μJ

-e) 1.755E+01 μJ

2) An empty parallel-plate capacitor with metal plates has an area of 2.1 m², separated by 1.13 mm. How much charge does it store if the voltage is 1.680E+03 V?

+a) 2.764E+01 μC

-b) 3.041E+01 μC

-c) 3.345E+01 μC

-d) 3.679E+01 μC

-e) 4.047E+01 μC

3)

In the figure shown C₁=15.4 μF, C₂=2.83 μF, and C₃=4.99 μF. The voltage source provides ε=6.51 V. What is the charge on C₁?

-a) 2.306E+01 μC

-b) 2.537E+01 μC

-c) 2.790E+01 μC

-d) 3.069E+01 μC

+e) 3.376E+01 μC

QB:Ch 9:V0

QB153099154232

1) The charge passing a plane intersecting a wire is $Q_{M}=\left(1-e^{t/\tau }\right)$, where $Q_{M}$=91 C and $\tau =$0.0156 s. What is the current at $t=$0.0131 s?

a) 2.082E+03 A

b) 2.290E+03 A

c) 2.519E+03 A

d) 2.771E+03 A

e) 3.048E+03 A

2) What is consumer cost to operate one 104−W incandescent bulb for 6 hours per day for 1 year (365 days) if the cost of electricity is $0.136 per kilowatt-hour?

a) $2.116E+01

b) $2.327E+01

c) $2.560E+01

d) $2.816E+01

e) $3.098E+01

3) Imagine a substance could be made into a very hot filament. Suppose the resitance is 5.94 Ω at a temperature of 70°C and that the temperature coefficient of expansion is 5.120E-03 (°C)⁻¹). What is the resistance at a temperature of 386 °C?

a) 1.279E+01 Ω

b) 1.343E+01 Ω

c) 1.410E+01 Ω

d) 1.481E+01 Ω

e) 1.555E+01 Ω

KEY:QB:Ch 9:V0

QB153099154232

1) The charge passing a plane intersecting a wire is $Q_{M}=\left(1-e^{t/\tau }\right)$, where $Q_{M}$=91 C and $\tau =$0.0156 s. What is the current at $t=$0.0131 s?

-a) 2.082E+03 A

-b) 2.290E+03 A

+c) 2.519E+03 A

-d) 2.771E+03 A

-e) 3.048E+03 A

2) What is consumer cost to operate one 104−W incandescent bulb for 6 hours per day for 1 year (365 days) if the cost of electricity is $0.136 per kilowatt-hour?

-a) $2.116E+01

-b) $2.327E+01

-c) $2.560E+01

-d) $2.816E+01

+e) $3.098E+01

3) Imagine a substance could be made into a very hot filament. Suppose the resitance is 5.94 Ω at a temperature of 70°C and that the temperature coefficient of expansion is 5.120E-03 (°C)⁻¹). What is the resistance at a temperature of 386 °C?

-a) 1.279E+01 Ω

-b) 1.343E+01 Ω

-c) 1.410E+01 Ω

-d) 1.481E+01 Ω

+e) 1.555E+01 Ω

QB:Ch 9:V1

QB153099154232

1) Imagine a substance could be made into a very hot filament. Suppose the resitance is 6.74 Ω at a temperature of 89°C and that the temperature coefficient of expansion is 4.990E-03 (°C)⁻¹). What is the resistance at a temperature of 366 °C?

a) 1.529E+01 Ω

b) 1.606E+01 Ω

c) 1.686E+01 Ω

d) 1.770E+01 Ω

e) 1.859E+01 Ω

2) The charge passing a plane intersecting a wire is $Q_{M}=\left(1-e^{t/\tau }\right)$, where $Q_{M}$=42 C and $\tau =$0.0166 s. What is the current at $t=$0.0156 s?

a) 9.886E+02 A

b) 1.087E+03 A

c) 1.196E+03 A

d) 1.316E+03 A

e) 1.447E+03 A

3) What is consumer cost to operate one 76−W incandescent bulb for 9 hours per day for 1 year (365 days) if the cost of electricity is $0.144 per kilowatt-hour?

a) $3.595E+01

b) $3.955E+01

c) $4.350E+01

d) $4.785E+01

e) $5.264E+01

KEY:QB:Ch 9:V1

QB153099154232

1) Imagine a substance could be made into a very hot filament. Suppose the resitance is 6.74 Ω at a temperature of 89°C and that the temperature coefficient of expansion is 4.990E-03 (°C)⁻¹). What is the resistance at a temperature of 366 °C?

-a) 1.529E+01 Ω

+b) 1.606E+01 Ω

-c) 1.686E+01 Ω

-d) 1.770E+01 Ω

-e) 1.859E+01 Ω

2) The charge passing a plane intersecting a wire is $Q_{M}=\left(1-e^{t/\tau }\right)$, where $Q_{M}$=42 C and $\tau =$0.0166 s. What is the current at $t=$0.0156 s?

+a) 9.886E+02 A

-b) 1.087E+03 A

-c) 1.196E+03 A

-d) 1.316E+03 A

-e) 1.447E+03 A

3) What is consumer cost to operate one 76−W incandescent bulb for 9 hours per day for 1 year (365 days) if the cost of electricity is $0.144 per kilowatt-hour?

+a) $3.595E+01

-b) $3.955E+01

-c) $4.350E+01

-d) $4.785E+01

-e) $5.264E+01

QB:Ch 9:V2

QB153099154232

1) What is consumer cost to operate one 87−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.117 per kilowatt-hour?

a) $2.791E+01

b) $3.071E+01

c) $3.378E+01

d) $3.715E+01

e) $4.087E+01

2) The charge passing a plane intersecting a wire is $Q_{M}=\left(1-e^{t/\tau }\right)$, where $Q_{M}$=91 C and $\tau =$0.0156 s. What is the current at $t=$0.0131 s?

a) 2.082E+03 A

b) 2.290E+03 A

c) 2.519E+03 A

d) 2.771E+03 A

e) 3.048E+03 A

3) Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.58 Ω at a temperature of 24°C and that the temperature coefficient of expansion is 5.520E-03 (°C)⁻¹). What is the resistance at a temperature of 349 °C?

a) 9.526E+00 Ω

b) 1.000E+01 Ω

c) 1.050E+01 Ω

d) 1.103E+01 Ω

e) 1.158E+01 Ω

KEY:QB:Ch 9:V2

QB153099154232

1) What is consumer cost to operate one 87−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.117 per kilowatt-hour?

-a) $2.791E+01

-b) $3.071E+01

-c) $3.378E+01

-d) $3.715E+01

+e) $4.087E+01

2) The charge passing a plane intersecting a wire is $Q_{M}=\left(1-e^{t/\tau }\right)$, where $Q_{M}$=91 C and $\tau =$0.0156 s. What is the current at $t=$0.0131 s?

-a) 2.082E+03 A

-b) 2.290E+03 A

+c) 2.519E+03 A

-d) 2.771E+03 A

-e) 3.048E+03 A

3) Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.58 Ω at a temperature of 24°C and that the temperature coefficient of expansion is 5.520E-03 (°C)⁻¹). What is the resistance at a temperature of 349 °C?

-a) 9.526E+00 Ω

+b) 1.000E+01 Ω

-c) 1.050E+01 Ω

-d) 1.103E+01 Ω

-e) 1.158E+01 Ω

QB:Ch 10:V0

QB153099154232

1) A given battery has a 9 V emf and an internal resistance of 0.16 Ω. If it is connected to a 0.45 Ω resistor what is the power dissipated by that load?

a) 6.691E+01 W

b) 7.360E+01 W

c) 8.096E+01 W

d) 8.905E+01 W

e) 9.796E+01 W

2) Three resistors, R₁ = 1.82 Ω, and R₂ = R₂ = 4.14 Ω, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R₁.)

a) 1.754E+01 W

b) 1.929E+01 W

c) 2.122E+01 W

d) 2.335E+01 W

e) 2.568E+01 W

3)

The resistances in the figure shown are R₁= 1.33 Ω, R₂= 1.72 Ω, and R₂= 3.69 Ω. V₁ and V₃ are text 0.606 V and 3.31 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.608 V. What is the absolute value of the current through R₁?

a) 1.137E-01 A

b) 1.251E-01 A

c) 1.376E-01 A

d) 1.514E-01 A

e) 1.665E-01 A

KEY:QB:Ch 10:V0

QB153099154232

1) A given battery has a 9 V emf and an internal resistance of 0.16 Ω. If it is connected to a 0.45 Ω resistor what is the power dissipated by that load?

-a) 6.691E+01 W

-b) 7.360E+01 W

-c) 8.096E+01 W

-d) 8.905E+01 W

+e) 9.796E+01 W

2) Three resistors, R₁ = 1.82 Ω, and R₂ = R₂ = 4.14 Ω, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R₁.)

+a) 1.754E+01 W

-b) 1.929E+01 W

-c) 2.122E+01 W

-d) 2.335E+01 W

-e) 2.568E+01 W

3)

The resistances in the figure shown are R₁= 1.33 Ω, R₂= 1.72 Ω, and R₂= 3.69 Ω. V₁ and V₃ are text 0.606 V and 3.31 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.608 V. What is the absolute value of the current through R₁?

-a) 1.137E-01 A

-b) 1.251E-01 A

-c) 1.376E-01 A

+d) 1.514E-01 A

-e) 1.665E-01 A

QB:Ch 10:V1

QB153099154232

1) A given battery has a 15 V emf and an internal resistance of 0.0536 Ω. If it is connected to a 0.64 Ω resistor what is the power dissipated by that load?

a) 2.721E+02 W

b) 2.993E+02 W

c) 3.293E+02 W

d) 3.622E+02 W

e) 3.984E+02 W

2)

The resistances in the figure shown are R₁= 2.73 Ω, R₂= 1.4 Ω, and R₂= 2.35 Ω. V₁ and V₃ are text 0.549 V and 1.27 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.584 V. What is the absolute value of the current through R₁?

a) 1.213E-01 A

b) 1.334E-01 A

c) 1.468E-01 A

d) 1.614E-01 A

e) 1.776E-01 A

3) Three resistors, R₁ = 1.41 Ω, and R₂ = R₂ = 3.17 Ω, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R₁.)

a) 1.681E+01 W

b) 1.849E+01 W

c) 2.033E+01 W

d) 2.237E+01 W

e) 2.460E+01 W

KEY:QB:Ch 10:V1

QB153099154232

1) A given battery has a 15 V emf and an internal resistance of 0.0536 Ω. If it is connected to a 0.64 Ω resistor what is the power dissipated by that load?

-a) 2.721E+02 W

+b) 2.993E+02 W

-c) 3.293E+02 W

-d) 3.622E+02 W

-e) 3.984E+02 W

2)

The resistances in the figure shown are R₁= 2.73 Ω, R₂= 1.4 Ω, and R₂= 2.35 Ω. V₁ and V₃ are text 0.549 V and 1.27 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.584 V. What is the absolute value of the current through R₁?

-a) 1.213E-01 A

-b) 1.334E-01 A

-c) 1.468E-01 A

+d) 1.614E-01 A

-e) 1.776E-01 A

3) Three resistors, R₁ = 1.41 Ω, and R₂ = R₂ = 3.17 Ω, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R₁.)

-a) 1.681E+01 W

-b) 1.849E+01 W

-c) 2.033E+01 W

-d) 2.237E+01 W

+e) 2.460E+01 W

QB:Ch 10:V2

QB153099154232

1) A given battery has a 10 V emf and an internal resistance of 0.119 Ω. If it is connected to a 0.445 Ω resistor what is the power dissipated by that load?

a) 1.272E+02 W

b) 1.399E+02 W

c) 1.539E+02 W

d) 1.693E+02 W

e) 1.862E+02 W

2) Three resistors, R₁ = 1.31 Ω, and R₂ = R₂ = 2.91 Ω, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R₁.)

a) 2.294E+01 W

b) 2.523E+01 W

c) 2.776E+01 W

d) 3.053E+01 W

e) 3.359E+01 W

3)

The resistances in the figure shown are R₁= 2.04 Ω, R₂= 1.19 Ω, and R₂= 2.5 Ω. V₁ and V₃ are text 0.507 V and 3.07 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.602 V. What is the absolute value of the current through R₁?

a) 1.401E-01 A

b) 1.542E-01 A

c) 1.696E-01 A

d) 1.865E-01 A

e) 2.052E-01 A

KEY:QB:Ch 10:V2

QB153099154232

1) A given battery has a 10 V emf and an internal resistance of 0.119 Ω. If it is connected to a 0.445 Ω resistor what is the power dissipated by that load?

-a) 1.272E+02 W

+b) 1.399E+02 W

-c) 1.539E+02 W

-d) 1.693E+02 W

-e) 1.862E+02 W

2) Three resistors, R₁ = 1.31 Ω, and R₂ = R₂ = 2.91 Ω, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R₁.)

-a) 2.294E+01 W

-b) 2.523E+01 W

+c) 2.776E+01 W

-d) 3.053E+01 W

-e) 3.359E+01 W

3)

The resistances in the figure shown are R₁= 2.04 Ω, R₂= 1.19 Ω, and R₂= 2.5 Ω. V₁ and V₃ are text 0.507 V and 3.07 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.602 V. What is the absolute value of the current through R₁?

+a) 1.401E-01 A

-b) 1.542E-01 A

-c) 1.696E-01 A

-d) 1.865E-01 A

-e) 2.052E-01 A

QB:Ch 11:V0

QB153099154232

1) A 14 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.448 T. What current is required to maintain this balance?

a) 1.174E+00 A

b) 1.291E+00 A

c) 1.420E+00 A

d) 1.562E+00 A

e) 1.719E+00 A

2) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 10⁴ m/s?

a) 2.222E-14 N

b) 2.444E-14 N

c) 2.688E-14 N

d) 2.957E-14 N

e) 3.253E-14 N

3) A circular current loop of radius 2.48 cm carries a current of 3.67 mA. What is the magnitude of the torque if the dipole is oriented at 21 ° to a uniform magnetic fied of 0.402 T?

a) 1.022E-06 N m

b) 1.124E-06 N m

c) 1.236E-06 N m

d) 1.360E-06 N m

e) 1.496E-06 N m

KEY:QB:Ch 11:V0

QB153099154232

1) A 14 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 11 g, and the magnitude of the magnetic field is 0.448 T. What current is required to maintain this balance?

-a) 1.174E+00 A

-b) 1.291E+00 A

-c) 1.420E+00 A

-d) 1.562E+00 A

+e) 1.719E+00 A

2) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 10⁴ m/s?

-a) 2.222E-14 N

-b) 2.444E-14 N

-c) 2.688E-14 N

+d) 2.957E-14 N

-e) 3.253E-14 N

3) A circular current loop of radius 2.48 cm carries a current of 3.67 mA. What is the magnitude of the torque if the dipole is oriented at 21 ° to a uniform magnetic fied of 0.402 T?

+a) 1.022E-06 N m

-b) 1.124E-06 N m

-c) 1.236E-06 N m

-d) 1.360E-06 N m

-e) 1.496E-06 N m

QB:Ch 11:V1

QB153099154232

1) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 ° to a uniform magnetic fied of 0.189 T?

a) 1.113E-07 N m

b) 1.224E-07 N m

c) 1.347E-07 N m

d) 1.481E-07 N m

e) 1.629E-07 N m

2) A 33 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.869 T. What current is required to maintain this balance?

a) 2.259E-01 A

b) 2.485E-01 A

c) 2.734E-01 A

d) 3.007E-01 A

e) 3.308E-01 A

3) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 10⁴ m/s?

a) 1.757E-14 N

b) 1.933E-14 N

c) 2.126E-14 N

d) 2.339E-14 N

e) 2.573E-14 N

KEY:QB:Ch 11:V1

QB153099154232

1) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 ° to a uniform magnetic fied of 0.189 T?

+a) 1.113E-07 N m

-b) 1.224E-07 N m

-c) 1.347E-07 N m

-d) 1.481E-07 N m

-e) 1.629E-07 N m

2) A 33 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.869 T. What current is required to maintain this balance?

-a) 2.259E-01 A

-b) 2.485E-01 A

+c) 2.734E-01 A

-d) 3.007E-01 A

-e) 3.308E-01 A

3) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 10⁴ m/s?

-a) 1.757E-14 N

+b) 1.933E-14 N

-c) 2.126E-14 N

-d) 2.339E-14 N

-e) 2.573E-14 N

QB:Ch 11:V2

QB153099154232

1) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 10⁴ m/s?

a) 2.222E-14 N

b) 2.444E-14 N

c) 2.688E-14 N

d) 2.957E-14 N

e) 3.253E-14 N

2) A 27 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.85 T. What current is required to maintain this balance?

a) 3.106E-01 A

b) 3.416E-01 A

c) 3.758E-01 A

d) 4.134E-01 A

e) 4.547E-01 A

3) A circular current loop of radius 1.94 cm carries a current of 1.83 mA. What is the magnitude of the torque if the dipole is oriented at 43 ° to a uniform magnetic fied of 0.156 T?

a) 1.903E-07 N m

b) 2.093E-07 N m

c) 2.302E-07 N m

d) 2.532E-07 N m

e) 2.785E-07 N m

KEY:QB:Ch 11:V2

QB153099154232

1) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 10⁴ m/s?

-a) 2.222E-14 N

-b) 2.444E-14 N

-c) 2.688E-14 N

+d) 2.957E-14 N

-e) 3.253E-14 N

2) A 27 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.85 T. What current is required to maintain this balance?

-a) 3.106E-01 A

+b) 3.416E-01 A

-c) 3.758E-01 A

-d) 4.134E-01 A

-e) 4.547E-01 A

3) A circular current loop of radius 1.94 cm carries a current of 1.83 mA. What is the magnitude of the torque if the dipole is oriented at 43 ° to a uniform magnetic fied of 0.156 T?

-a) 1.903E-07 N m

-b) 2.093E-07 N m

+c) 2.302E-07 N m

-d) 2.532E-07 N m

-e) 2.785E-07 N m

QB:Ch 12:V0

QB153099154232

1) A wire carries a current of 332 A in a circular arc with radius 2.47 cm swept through 44 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) 3.389E+00 Tesla

b) 3.727E+00 Tesla

c) 4.100E+00 Tesla

d) 4.510E+00 Tesla

e) 4.961E+00 Tesla

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)

The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I₁ and I₃ flow out of the page, and I₂ flows into the page, as shown. Two closed paths are shown, labeled $\beta$ and $\omega$. If I₁=2.72 kA, I₂=2.17 kA, and I₃=3.21 kA, take the $\omega$ path and evalulate the line integral,
  $\oint {\vec {B}}\cdot d{\vec {\ell }}$:

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

KEY:QB:Ch 12:V0

QB153099154232

1) A wire carries a current of 332 A in a circular arc with radius 2.47 cm swept through 44 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) 3.389E+00 Tesla

-b) 3.727E+00 Tesla

-c) 4.100E+00 Tesla

-d) 4.510E+00 Tesla

-e) 4.961E+00 Tesla

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)

The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I₁ and I₃ flow out of the page, and I₂ flows into the page, as shown. Two closed paths are shown, labeled $\beta$ and $\omega$. If I₁=2.72 kA, I₂=2.17 kA, and I₃=3.21 kA, take the $\omega$ path and evalulate the line integral,
  $\oint {\vec {B}}\cdot d{\vec {\ell }}$:

-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

QB:Ch 12:V1

QB153099154232

1) 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

2) 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

3)

The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I₁ and I₃ flow out of the page, and I₂ flows into the page, as shown. Two closed paths are shown, labeled $\beta$ and $\omega$. If I₁=2.38 kA, I₂=1.58 kA, and I₃=4.31 kA, take the $\omega$ path and evalulate the line integral,
  $\oint {\vec {B}}\cdot d{\vec {\ell }}$:

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

KEY:QB:Ch 12:V1

QB153099154232

1) 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

2) 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

3)

The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I₁ and I₃ flow out of the page, and I₂ flows into the page, as shown. Two closed paths are shown, labeled $\beta$ and $\omega$. If I₁=2.38 kA, I₂=1.58 kA, and I₃=4.31 kA, take the $\omega$ path and evalulate the line integral,
  $\oint {\vec {B}}\cdot d{\vec {\ell }}$:

-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

QB:Ch 12:V2

QB153099154232

1) 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

2)

The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I₁ and I₃ flow out of the page, and I₂ flows into the page, as shown. Two closed paths are shown, labeled $\beta$ and $\omega$. If I₁=2.58 kA, I₂=1.11 kA, and I₃=2.47 kA, take the $\omega$ path and evalulate the line integral,
  $\oint {\vec {B}}\cdot d{\vec {\ell }}$:

a) 4.092E-03 T-m

b) 4.501E-03 T-m

c) 4.951E-03 T-m

d) 5.446E-03 T-m

e) 5.991E-03 T-m

3) 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

KEY:QB:Ch 12:V2

QB153099154232

1) 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

2)

The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I₁ and I₃ flow out of the page, and I₂ flows into the page, as shown. Two closed paths are shown, labeled $\beta$ and $\omega$. If I₁=2.58 kA, I₂=1.11 kA, and I₃=2.47 kA, take the $\omega$ path and evalulate the line integral,
  $\oint {\vec {B}}\cdot d{\vec {\ell }}$:

-a) 4.092E-03 T-m

-b) 4.501E-03 T-m

+c) 4.951E-03 T-m

-d) 5.446E-03 T-m

-e) 5.991E-03 T-m

3) 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

QB:Ch 13:V0

QB153099154232

1) A long solenoid has a radius of 0.306 m and 98 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$6 A and $\alpha =$22 s⁻¹.What is the induced electric fied at a distance 2.52 m from the axis at time t=0.0246 s ?

a) 1.598E-04 V/m

b) 1.758E-04 V/m

c) 1.934E-04 V/m

d) 2.127E-04 V/m

e) 2.340E-04 V/m

2) A long solenoid has a radius of 0.793 m and 45 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$2 A and $\alpha =$29 s⁻¹.What is the induced electric fied at a distance 0.216 m from the axis at time t=0.0208 s ?

a) 1.456E-04 V/m

b) 1.601E-04 V/m

c) 1.762E-04 V/m

d) 1.938E-04 V/m

e) 2.132E-04 V/m

3) Calculate the motional emf induced along a 24.6 km conductor moving at an orbital speed of 7.89 km/s perpendicular to Earth's 5.180E-05 Tesla magnetic field.

a) 9.140E+03 V

b) 1.005E+04 V

c) 1.106E+04 V

d) 1.217E+04 V

e) 1.338E+04 V

KEY:QB:Ch 13:V0

QB153099154232

1) A long solenoid has a radius of 0.306 m and 98 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$6 A and $\alpha =$22 s⁻¹.What is the induced electric fied at a distance 2.52 m from the axis at time t=0.0246 s ?

-a) 1.598E-04 V/m

+b) 1.758E-04 V/m

-c) 1.934E-04 V/m

-d) 2.127E-04 V/m

-e) 2.340E-04 V/m

2) A long solenoid has a radius of 0.793 m and 45 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$2 A and $\alpha =$29 s⁻¹.What is the induced electric fied at a distance 0.216 m from the axis at time t=0.0208 s ?

-a) 1.456E-04 V/m

-b) 1.601E-04 V/m

-c) 1.762E-04 V/m

+d) 1.938E-04 V/m

-e) 2.132E-04 V/m

3) Calculate the motional emf induced along a 24.6 km conductor moving at an orbital speed of 7.89 km/s perpendicular to Earth's 5.180E-05 Tesla magnetic field.

-a) 9.140E+03 V

+b) 1.005E+04 V

-c) 1.106E+04 V

-d) 1.217E+04 V

-e) 1.338E+04 V

QB:Ch 13:V1

QB153099154232

1) Calculate the motional emf induced along a 24.4 km conductor moving at an orbital speed of 7.79 km/s perpendicular to Earth's 4.790E-05 Tesla magnetic field.

a) 6.840E+03 V

b) 7.524E+03 V

c) 8.277E+03 V

d) 9.105E+03 V

e) 1.002E+04 V

2) A long solenoid has a radius of 0.45 m and 35 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$1 A and $\alpha =$28 s⁻¹.What is the induced electric fied at a distance 2.35 m from the axis at time t=0.0709 s ?

a) 5.475E-06 V/m

b) 6.023E-06 V/m

c) 6.625E-06 V/m

d) 7.288E-06 V/m

e) 8.017E-06 V/m

3) A long solenoid has a radius of 0.732 m and 55 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$9 A and $\alpha =$25 s⁻¹.What is the induced electric fied at a distance 0.203 m from the axis at time t=0.0448 s ?

a) 5.150E-04 V/m

b) 5.665E-04 V/m

c) 6.232E-04 V/m

d) 6.855E-04 V/m

e) 7.540E-04 V/m

KEY:QB:Ch 13:V1

QB153099154232

1) Calculate the motional emf induced along a 24.4 km conductor moving at an orbital speed of 7.79 km/s perpendicular to Earth's 4.790E-05 Tesla magnetic field.

-a) 6.840E+03 V

-b) 7.524E+03 V

-c) 8.277E+03 V

+d) 9.105E+03 V

-e) 1.002E+04 V

2) A long solenoid has a radius of 0.45 m and 35 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$1 A and $\alpha =$28 s⁻¹.What is the induced electric fied at a distance 2.35 m from the axis at time t=0.0709 s ?

-a) 5.475E-06 V/m

-b) 6.023E-06 V/m

-c) 6.625E-06 V/m

+d) 7.288E-06 V/m

-e) 8.017E-06 V/m

3) A long solenoid has a radius of 0.732 m and 55 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$9 A and $\alpha =$25 s⁻¹.What is the induced electric fied at a distance 0.203 m from the axis at time t=0.0448 s ?

+a) 5.150E-04 V/m

-b) 5.665E-04 V/m

-c) 6.232E-04 V/m

-d) 6.855E-04 V/m

-e) 7.540E-04 V/m

QB:Ch 13:V2

QB153099154232

1) Calculate the motional emf induced along a 32.1 km conductor moving at an orbital speed of 7.8 km/s perpendicular to Earth's 5.280E-05 Tesla magnetic field.

a) 1.093E+04 V

b) 1.202E+04 V

c) 1.322E+04 V

d) 1.454E+04 V

e) 1.600E+04 V

2) A long solenoid has a radius of 0.603 m and 51 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$2 A and $\alpha =$26 s⁻¹.What is the induced electric fied at a distance 0.105 m from the axis at time t=0.0659 s ?

a) 2.154E-05 V/m

b) 2.369E-05 V/m

c) 2.606E-05 V/m

d) 2.867E-05 V/m

e) 3.154E-05 V/m

3) A long solenoid has a radius of 0.583 m and 38 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$6 A and $\alpha =$24 s⁻¹.What is the induced electric fied at a distance 2.09 m from the axis at time t=0.0388 s ?

a) 1.655E-04 V/m

b) 1.821E-04 V/m

c) 2.003E-04 V/m

d) 2.203E-04 V/m

e) 2.424E-04 V/m

KEY:QB:Ch 13:V2

QB153099154232

1) Calculate the motional emf induced along a 32.1 km conductor moving at an orbital speed of 7.8 km/s perpendicular to Earth's 5.280E-05 Tesla magnetic field.

-a) 1.093E+04 V

-b) 1.202E+04 V

+c) 1.322E+04 V

-d) 1.454E+04 V

-e) 1.600E+04 V

2) A long solenoid has a radius of 0.603 m and 51 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$2 A and $\alpha =$26 s⁻¹.What is the induced electric fied at a distance 0.105 m from the axis at time t=0.0659 s ?

-a) 2.154E-05 V/m

-b) 2.369E-05 V/m

-c) 2.606E-05 V/m

-d) 2.867E-05 V/m

+e) 3.154E-05 V/m

3) A long solenoid has a radius of 0.583 m and 38 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$6 A and $\alpha =$24 s⁻¹.What is the induced electric fied at a distance 2.09 m from the axis at time t=0.0388 s ?

-a) 1.655E-04 V/m

-b) 1.821E-04 V/m

-c) 2.003E-04 V/m

+d) 2.203E-04 V/m

-e) 2.424E-04 V/m

QB:Ch 14:V0

QB153099154232

1)

Suppose switch S₁ in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S₁ is opened as as S₂ is closed. How long will it take for the energy stored in the inductor to be reduced to 1.82% of its maximum value if ε = 8.65 V , R = 3.02 Ω, and L = 1.75 H?

a) -9.593E-01 s

b) -1.055E+00 s

c) -1.161E+00 s

d) -1.277E+00 s

e) -1.405E+00 s

2) An induced emf of 1.92V is measured across a coil of 74 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.38A in 0.69s. What is the self-inductance of the coil?

a) 1.560E-01 H

b) 1.716E-01 H

c) 1.888E-01 H

d) 2.076E-01 H

e) 2.284E-01 H

3)

Suppose switch S₁ is suddenly closed at time t=0 in the figure shown. What is the current at t =2.47 s if ε = 7.04 V , R = 7.69 Ω, and L = 5.78 H?

a) 4.249E-01 V

b) 5.099E-01 V

c) 6.118E-01 V

d) 7.342E-01 V

e) 8.810E-01 V

KEY:QB:Ch 14:V0

QB153099154232

1)

Suppose switch S₁ in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S₁ is opened as as S₂ is closed. How long will it take for the energy stored in the inductor to be reduced to 1.82% of its maximum value if ε = 8.65 V , R = 3.02 Ω, and L = 1.75 H?

-a) -9.593E-01 s

-b) -1.055E+00 s

+c) -1.161E+00 s

-d) -1.277E+00 s

-e) -1.405E+00 s

2) An induced emf of 1.92V is measured across a coil of 74 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.38A in 0.69s. What is the self-inductance of the coil?

-a) 1.560E-01 H

-b) 1.716E-01 H

-c) 1.888E-01 H

+d) 2.076E-01 H

-e) 2.284E-01 H

3)

Suppose switch S₁ is suddenly closed at time t=0 in the figure shown. What is the current at t =2.47 s if ε = 7.04 V , R = 7.69 Ω, and L = 5.78 H?

-a) 4.249E-01 V

-b) 5.099E-01 V

-c) 6.118E-01 V

-d) 7.342E-01 V

+e) 8.810E-01 V

QB:Ch 14:V1

QB153099154232

1)

Suppose switch S₁ is suddenly closed at time t=0 in the figure shown. What is the current at t =1.0 s if ε = 4.14 V , R = 7.92 Ω, and L = 2.26 H?

a) 3.523E-01 V

b) 4.227E-01 V

c) 5.073E-01 V

d) 6.087E-01 V

e) 7.304E-01 V

2)

Suppose switch S₁ in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S₁ is opened as as S₂ is closed. How long will it take for the energy stored in the inductor to be reduced to 1.67% of its maximum value if ε = 5.07 V , R = 7.8 Ω, and L = 4.39 H?

a) -1.047E+00 s

b) -1.152E+00 s

c) -1.267E+00 s

d) -1.393E+00 s

e) -1.533E+00 s

3) An induced emf of 1.7V is measured across a coil of 81 closely wound turns while the current throuth it increases uniformly from 0.0 to 7.07A in 0.174s. What is the self-inductance of the coil?

a) 3.458E-02 H

b) 3.804E-02 H

c) 4.184E-02 H

d) 4.602E-02 H

e) 5.062E-02 H

KEY:QB:Ch 14:V1

QB153099154232

1)

Suppose switch S₁ is suddenly closed at time t=0 in the figure shown. What is the current at t =1.0 s if ε = 4.14 V , R = 7.92 Ω, and L = 2.26 H?

-a) 3.523E-01 V

-b) 4.227E-01 V

+c) 5.073E-01 V

-d) 6.087E-01 V

-e) 7.304E-01 V

2)

Suppose switch S₁ in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S₁ is opened as as S₂ is closed. How long will it take for the energy stored in the inductor to be reduced to 1.67% of its maximum value if ε = 5.07 V , R = 7.8 Ω, and L = 4.39 H?

-a) -1.047E+00 s

+b) -1.152E+00 s

-c) -1.267E+00 s

-d) -1.393E+00 s

-e) -1.533E+00 s

3) An induced emf of 1.7V is measured across a coil of 81 closely wound turns while the current throuth it increases uniformly from 0.0 to 7.07A in 0.174s. What is the self-inductance of the coil?

-a) 3.458E-02 H

-b) 3.804E-02 H

+c) 4.184E-02 H

-d) 4.602E-02 H

-e) 5.062E-02 H

QB:Ch 14:V2

QB153099154232

1)

Suppose switch S₁ is suddenly closed at time t=0 in the figure shown. What is the current at t =3.56 s if ε = 6.14 V , R = 7.96 Ω, and L = 6.65 H?

a) 5.281E-01 V

b) 6.337E-01 V

c) 7.605E-01 V

d) 9.126E-01 V

e) 1.095E+00 V

2)

Suppose switch S₁ in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S₁ is opened as as S₂ is closed. How long will it take for the energy stored in the inductor to be reduced to 2.01% of its maximum value if ε = 1.45 V , R = 4.4 Ω, and L = 2.36 H?

a) -8.659E-01 s

b) -9.525E-01 s

c) -1.048E+00 s

d) -1.153E+00 s

e) -1.268E+00 s

3) An induced emf of 8.76V is measured across a coil of 62 closely wound turns while the current throuth it increases uniformly from 0.0 to 5.59A in 0.611s. What is the self-inductance of the coil?

a) 7.913E-01 H

b) 8.704E-01 H

c) 9.575E-01 H

d) 1.053E+00 H

e) 1.159E+00 H

KEY:QB:Ch 14:V2

QB153099154232

1)

Suppose switch S₁ is suddenly closed at time t=0 in the figure shown. What is the current at t =3.56 s if ε = 6.14 V , R = 7.96 Ω, and L = 6.65 H?

-a) 5.281E-01 V

-b) 6.337E-01 V

+c) 7.605E-01 V

-d) 9.126E-01 V

-e) 1.095E+00 V

2)

Suppose switch S₁ in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S₁ is opened as as S₂ is closed. How long will it take for the energy stored in the inductor to be reduced to 2.01% of its maximum value if ε = 1.45 V , R = 4.4 Ω, and L = 2.36 H?

-a) -8.659E-01 s

-b) -9.525E-01 s

+c) -1.048E+00 s

-d) -1.153E+00 s

-e) -1.268E+00 s

3) An induced emf of 8.76V is measured across a coil of 62 closely wound turns while the current throuth it increases uniformly from 0.0 to 5.59A in 0.611s. What is the self-inductance of the coil?

-a) 7.913E-01 H

-b) 8.704E-01 H

+c) 9.575E-01 H

-d) 1.053E+00 H

-e) 1.159E+00 H

QB:Ch 15:V0

QB153099154232

1) The output of an ac generator connected to an RLC series combination has a frequency of 3.50E+04 Hz and an amplitude of 8 V. If R =7 Ω, L= 9.40E-03H , and C=8.50E-06 F, what is the rms power transferred to the resistor?

a) 2.111E-03 Watts

b) 2.323E-03 Watts

c) 2.555E-03 Watts

d) 2.810E-03 Watts

e) 3.091E-03 Watts

2) An ac generator produces an emf of amplitude 40 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 52 mF inductor?

a) 7.783E-01 A

b) 8.561E-01 A

c) 9.417E-01 A

d) 1.036E+00 A

e) 1.140E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 970 Hz and an amplitude of 0.11 V;. If R =9 Ω, L= 8.50E-03H , and C=7.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

a) 1.398E+00 &rad;

b) 1.538E+00 &rad;

c) 1.692E+00 &rad;

d) 1.861E+00 &rad;

e) 2.047E+00 &rad;

KEY:QB:Ch 15:V0

QB153099154232

1) The output of an ac generator connected to an RLC series combination has a frequency of 3.50E+04 Hz and an amplitude of 8 V. If R =7 Ω, L= 9.40E-03H , and C=8.50E-06 F, what is the rms power transferred to the resistor?

+a) 2.111E-03 Watts

-b) 2.323E-03 Watts

-c) 2.555E-03 Watts

-d) 2.810E-03 Watts

-e) 3.091E-03 Watts

2) An ac generator produces an emf of amplitude 40 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 52 mF inductor?

-a) 7.783E-01 A

-b) 8.561E-01 A

+c) 9.417E-01 A

-d) 1.036E+00 A

-e) 1.140E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 970 Hz and an amplitude of 0.11 V;. If R =9 Ω, L= 8.50E-03H , and C=7.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

+a) 1.398E+00 &rad;

-b) 1.538E+00 &rad;

-c) 1.692E+00 &rad;

-d) 1.861E+00 &rad;

-e) 2.047E+00 &rad;

QB:Ch 15:V1

QB153099154232

1) The output of an ac generator connected to an RLC series combination has a frequency of 750 Hz and an amplitude of 0.88 V;. If R =4 Ω, L= 5.60E-03H , and C=9.70E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

a) 1.290E+00 &rad;

b) 1.419E+00 &rad;

c) 1.561E+00 &rad;

d) 1.717E+00 &rad;

e) 1.889E+00 &rad;

2) An ac generator produces an emf of amplitude 69 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 57 mF inductor?

a) 1.070E+00 A

b) 1.177E+00 A

c) 1.295E+00 A

d) 1.425E+00 A

e) 1.567E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 9 V. If R =4 Ω, L= 3.40E-03H , and C=8.10E-06 F, what is the rms power transferred to the resistor?

a) 3.839E-03 Watts

b) 4.223E-03 Watts

c) 4.646E-03 Watts

d) 5.110E-03 Watts

e) 5.621E-03 Watts

KEY:QB:Ch 15:V1

QB153099154232

1) The output of an ac generator connected to an RLC series combination has a frequency of 750 Hz and an amplitude of 0.88 V;. If R =4 Ω, L= 5.60E-03H , and C=9.70E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

-a) 1.290E+00 &rad;

+b) 1.419E+00 &rad;

-c) 1.561E+00 &rad;

-d) 1.717E+00 &rad;

-e) 1.889E+00 &rad;

2) An ac generator produces an emf of amplitude 69 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 57 mF inductor?

+a) 1.070E+00 A

-b) 1.177E+00 A

-c) 1.295E+00 A

-d) 1.425E+00 A

-e) 1.567E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 9 V. If R =4 Ω, L= 3.40E-03H , and C=8.10E-06 F, what is the rms power transferred to the resistor?

+a) 3.839E-03 Watts

-b) 4.223E-03 Watts

-c) 4.646E-03 Watts

-d) 5.110E-03 Watts

-e) 5.621E-03 Watts

QB:Ch 15:V2

QB153099154232

1) An ac generator produces an emf of amplitude 3 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 75 mF inductor?

a) 3.679E-02 A

b) 4.047E-02 A

c) 4.452E-02 A

d) 4.897E-02 A

e) 5.387E-02 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 5.50E+04 Hz and an amplitude of 2 V. If R =8 Ω, L= 9.60E-03H , and C=8.30E-06 F, what is the rms power transferred to the resistor?

a) 4.347E-05 Watts

b) 4.782E-05 Watts

c) 5.260E-05 Watts

d) 5.786E-05 Watts

e) 6.364E-05 Watts

3) The output of an ac generator connected to an RLC series combination has a frequency of 830 Hz and an amplitude of 0.73 V;. If R =8 Ω, L= 2.80E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

a) 8.759E-01 &rad;

b) 9.635E-01 &rad;

c) 1.060E+00 &rad;

d) 1.166E+00 &rad;

e) 1.282E+00 &rad;

KEY:QB:Ch 15:V2

QB153099154232

1) An ac generator produces an emf of amplitude 3 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 75 mF inductor?

-a) 3.679E-02 A

-b) 4.047E-02 A

-c) 4.452E-02 A

+d) 4.897E-02 A

-e) 5.387E-02 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 5.50E+04 Hz and an amplitude of 2 V. If R =8 Ω, L= 9.60E-03H , and C=8.30E-06 F, what is the rms power transferred to the resistor?

-a) 4.347E-05 Watts

-b) 4.782E-05 Watts

-c) 5.260E-05 Watts

+d) 5.786E-05 Watts

-e) 6.364E-05 Watts

3) The output of an ac generator connected to an RLC series combination has a frequency of 830 Hz and an amplitude of 0.73 V;. If R =8 Ω, L= 2.80E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

-a) 8.759E-01 &rad;

-b) 9.635E-01 &rad;

+c) 1.060E+00 &rad;

-d) 1.166E+00 &rad;

-e) 1.282E+00 &rad;

QB:Ch 16:V0

QB153099154232

1)

A parallel plate capacitor with a capicatnce C=4.70E-06 F whose plates have an area A=1.70E+03 m² and separation d=3.20E-03 m is connected via a swith to a 61 Ω resistor and a battery of voltage V₀=53 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=8.40E-04?

a) 5.017E+01 V

b) 5.519E+01 V

c) 6.071E+01 V

d) 6.678E+01 V

e) 7.345E+01 V

2) A 58 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 88 kW?

a) 1.111E+02 km

b) 1.222E+02 km

c) 1.344E+02 km

d) 1.478E+02 km

e) 1.626E+02 km

3) What is the radiation force on an object that is 3.80E+11 m away from the sun and has cross-sectional area of 0.094 m²? The average power output of the Sun is 3.80E+26 W.

a) 8.969E-08 N

b) 9.866E-08 N

c) 1.085E-07 N

d) 1.194E-07 N

e) 1.313E-07 N

KEY:QB:Ch 16:V0

QB153099154232

1)

A parallel plate capacitor with a capicatnce C=4.70E-06 F whose plates have an area A=1.70E+03 m² and separation d=3.20E-03 m is connected via a swith to a 61 Ω resistor and a battery of voltage V₀=53 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=8.40E-04?

+a) 5.017E+01 V

-b) 5.519E+01 V

-c) 6.071E+01 V

-d) 6.678E+01 V

-e) 7.345E+01 V

2) A 58 kW radio transmitter on Earth sends it signal to a satellite 120 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 88 kW?

-a) 1.111E+02 km

-b) 1.222E+02 km

-c) 1.344E+02 km

+d) 1.478E+02 km

-e) 1.626E+02 km

3) What is the radiation force on an object that is 3.80E+11 m away from the sun and has cross-sectional area of 0.094 m²? The average power output of the Sun is 3.80E+26 W.

-a) 8.969E-08 N

-b) 9.866E-08 N

-c) 1.085E-07 N

-d) 1.194E-07 N

+e) 1.313E-07 N

QB:Ch 16:V1

QB153099154232

1)

A parallel plate capacitor with a capicatnce C=9.80E-06 F whose plates have an area A=5.60E+03 m² and separation d=5.10E-03 m is connected via a swith to a 15 Ω resistor and a battery of voltage V₀=54 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=2.50E-04?

a) 3.015E+01 V

b) 3.316E+01 V

c) 3.648E+01 V

d) 4.013E+01 V

e) 4.414E+01 V

2) What is the radiation force on an object that is 3.60E+11 m away from the sun and has cross-sectional area of 0.069 m²? The average power output of the Sun is 3.80E+26 W.

a) 7.336E-08 N

b) 8.069E-08 N

c) 8.876E-08 N

d) 9.764E-08 N

e) 1.074E-07 N

3) A 59 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 76 kW?

a) 1.008E+02 km

b) 1.109E+02 km

c) 1.219E+02 km

d) 1.341E+02 km

e) 1.475E+02 km

KEY:QB:Ch 16:V1

QB153099154232

1)

A parallel plate capacitor with a capicatnce C=9.80E-06 F whose plates have an area A=5.60E+03 m² and separation d=5.10E-03 m is connected via a swith to a 15 Ω resistor and a battery of voltage V₀=54 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=2.50E-04?

-a) 3.015E+01 V

-b) 3.316E+01 V

-c) 3.648E+01 V

-d) 4.013E+01 V

+e) 4.414E+01 V

2) What is the radiation force on an object that is 3.60E+11 m away from the sun and has cross-sectional area of 0.069 m²? The average power output of the Sun is 3.80E+26 W.

-a) 7.336E-08 N

-b) 8.069E-08 N

-c) 8.876E-08 N

-d) 9.764E-08 N

+e) 1.074E-07 N

3) A 59 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 76 kW?

-a) 1.008E+02 km

-b) 1.109E+02 km

-c) 1.219E+02 km

-d) 1.341E+02 km

+e) 1.475E+02 km

QB:Ch 16:V2

QB153099154232

1) What is the radiation force on an object that is 7.60E+11 m away from the sun and has cross-sectional area of 0.052 m²? The average power output of the Sun is 3.80E+26 W.

a) 1.501E-08 N

b) 1.651E-08 N

c) 1.816E-08 N

d) 1.998E-08 N

e) 2.198E-08 N

2)

A parallel plate capacitor with a capicatnce C=3.80E-06 F whose plates have an area A=2.70E+03 m² and separation d=6.30E-03 m is connected via a swith to a 4 Ω resistor and a battery of voltage V₀=7 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=3.40E-05?

a) 6.252E+00 V

b) 6.878E+00 V

c) 7.565E+00 V

d) 8.322E+00 V

e) 9.154E+00 V

3) A 42 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 94 kW?

a) 1.768E+02 km

b) 1.945E+02 km

c) 2.139E+02 km

d) 2.353E+02 km

e) 2.589E+02 km

KEY:QB:Ch 16:V2

QB153099154232

1) What is the radiation force on an object that is 7.60E+11 m away from the sun and has cross-sectional area of 0.052 m²? The average power output of the Sun is 3.80E+26 W.

-a) 1.501E-08 N

-b) 1.651E-08 N

+c) 1.816E-08 N

-d) 1.998E-08 N

-e) 2.198E-08 N

2)

A parallel plate capacitor with a capicatnce C=3.80E-06 F whose plates have an area A=2.70E+03 m² and separation d=6.30E-03 m is connected via a swith to a 4 Ω resistor and a battery of voltage V₀=7 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=3.40E-05?

+a) 6.252E+00 V

-b) 6.878E+00 V

-c) 7.565E+00 V

-d) 8.322E+00 V

-e) 9.154E+00 V

3) A 42 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 94 kW?

-a) 1.768E+02 km

+b) 1.945E+02 km

-c) 2.139E+02 km

-d) 2.353E+02 km

-e) 2.589E+02 km