OpenStax University Physics/Archived sample/T1V1
PhysicsCalc2152657831440
PhysicsCalc2:T1:V1
editPhysicsCalc2152657831440
1) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,
Let be the outward unit normal to this cylinder and evaluate ,
over the curved side surface of the cylinder.
- a) 4.021E+02
- b) 4.872E+02
- c) 5.902E+02
- d) 7.151E+02
- e) 8.663E+02
2) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?
- a) 2.23 J.
- b) 2.56 J.
- c) 2.94 J.
- d) 3.39 J.
- e) 3.89 J.
3) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?
- a) 1.1 x 105 m/s.
- b) 1.7 x 105 m/s.
- c) 2.6 x 105 m/s.
- d) 3.8 x 105 m/s.
- e) 5.8 x 105 m/s.
4) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the force between the plates if they are 0.7 mm apart?
- a) 1826 N.
- b) 2099 N.
- c) 2414 N.
- d) 2776 N.
- e) 3193 N.
5) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a2, where β equals
- a) 2.86 x 10-1 unit
- b) 3.47 x 10-1 unit
- c) 4.2 x 10-1 unit
- d) 5.09 x 10-1 unit
- e) 6.17 x 10-1 unit
6) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?
(assuming ) , where :
- a) 1/2
- b) 2
- c) 2/3
- d) 3
- e) 3/2
7) How fast is a 2663 eV electron moving?
- a) 3.1 x 107 m/s.
- b) 4.6 x 107 m/s.
- c) 6.9 x 107 m/s.
- d) 1 x 108 m/s.
- e) 1.5 x 108 m/s.
8) Integrate the line integral of from the origin to the point at x = 2.6 and y = 3.9
- a) 7.93E+01
- b) 8.48E+01
- c) 9.08E+01
- d) 9.71E+01
- e) 1.04E+02
9) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,
Let be the outward unit normal to this cylinder and evaluate ,
over the top surface of the cylinder.
- a) 1.248E+03
- b) 1.512E+03
- c) 1.832E+03
- d) 2.220E+03
- e) 2.689E+03
10) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?
(assuming ) , where :
- a) s−4
- b) 5−s
- c) 5
- d) 1−s
- e) s−1
11) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =( 5a, 4a) is βkQ/a2, where β equals
- a) 1.76 x 10-3 unit
- b) 2.13 x 10-3 unit
- c) 2.59 x 10-3 unit
- d) 3.13 x 10-3 unit
- e) 3.79 x 10-3 unit
12) A line of charge density λ situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)?
(assuming ) , where :
- a) 8
- b) s−3
- c) 3−s
- d) s−7
- e) 7−s