Question 1

In an effort to produce nuclear fusion you fire a deuterium nuclei (q = + 1e,m = 3.34 * 10-27kg)directly at another (fixed)hydrogen nucleus.How fast must you fire the deuterium for it to approach within 2.0 * 10-15 m of the nuclei?

Accepted Answer

A)  8.3 * 106 m/s
B)  5.4 * 107 m/s
C)  1.4 * 108 m/s
D)  1.9 * 1014 m/s
E)  2.1 * 1016 m/s A

Question 2

At a distance d from a charge,the electric potential is V.What would be the electric potential a distance d/2 from the same charge?

Accepted Answer

A)  V/4
B)  V/2
C)  2V
D)  4V C

Question 3

What is the magnitude of the electric potential at point P (in V)at a distance R = 3.50 m from a point charge Q of magnitude 4.00 $\mu$C?

Accepted Answer

A)  10,274
B)  14,898
C)  21,602
D)  31,322
E)  45,418  A

Question 4

Consider two isolated metal spheres,the first with a charge of 8.7  and a radius of 25 cm and the second uncharged with a radius of 5.4 cm.What is the charge on the smaller sphere after a long thin metal wire is used to connect the two spheres?

Accepted Answer

A)  0 
B)  1.5 
C)  4.4 
D)  7.2 
E)  8.7

Question 5

When two charges are separated by a distance d,their electric potential energy is equal to U.What would be their electric potential energy if the separation distance was d/2?

Accepted Answer

A)  U/4
B)  U/2
C)  2U
D)  4U

Question 6

A 250-g metal ball with a charge of 0.50 mC has a kinetic energy of 6.0 * 108 J.It is traveling directly at an infinite plane of charge with a charge density of 33 C/m2.If it is currently 2.0 m away from the plane of charge,how close will it come to the plane before stopping?

Accepted Answer

A)  0.32 m
B)  0.64 m
C)  1.36 m
D)  1.68 m
E)  It will hit the charged plane.

Question 7

An infinite plane of charge has a planar charge density of + 2.2 nC/m2 and is located in the yz plane at x=0.What fixed point charge should be placed on the x-axis at x = + 1.0 m to make the electric potential a minimum on the x-axis at x=+0.65 m?

Accepted Answer

A)  + 5.0 nC
B)  + 7.8 nC
C)  + 3.3 nC
D)  + 1.7 nC
E)  + 4.4 nC

Question 8

The period of motion of a proton (mass: 1.67 * 10-27 kg)in a one-dimensional electrical potential (17 mV/m2)x2 executes simple harmonic motion with what frequency?

Accepted Answer

A)  200 Hz
B)  290 Hz
C)  1276 Hz
D)  1830 Hz
E)  Not enough information is given.

Question 9

Two parallel plates are held at a potential of + 220 V and + 130 V.If the plates have area of 44 cm2 and are separated by a distance of 7.3 mm,what is the magnitude of the electric field between the plates?

Accepted Answer

A)  54 V/m
B)  132 N/C
C)  12,000 N/C
D)  20 kV/m
E)  30,000 N/C

Question 10

The electric potential at a point is space is given by the relation V = 23x - 27y + 11y2 + 72.What is the magnitude of the electric field (in V/m)at the point r = (3.0,2.0,1.0)?

Accepted Answer

A)  5
B)  23
C)  29
D)  59
E)  131

Question 11

An infinite plane of charge has a uniform planar charge density and is located in the yz plane at x=0.A fixed point charge placed on the x-axis at x = + 1.0 m and the electric potential is a minimum on the x-axis at x=+0.31 m.What is the planar charge density on the plane?

Accepted Answer

A)  + 1.1 nC/m2
B)  + 0.91 nC/m2
C)  + 1.7 nC/m2
D)  + 2.2 nC/m2
E)  + 3.5 nC/m2

Question 12

An insulating sheet in the xz-plane is uniformly charged with charge surface density  $\sigma$ = 6.2 * 10-6 C/m2.What is the change in electric potential when a charge of Q=3.3 $\mu$C is moved from a position that is 6.2 m away from the sheet to a position that is 1.3 m away from the sheet?

Accepted Answer

A)  1.7 * 106 V
B)  -1.7 * 106 V
C)  3.4 * 106 V
D)  -3.4 * 106 V
E)  9.1 * 105 V

Question 13

An electric potential is given by V=4x2 + 2y2 + x + z + 2 volts.What is the electric field at the point (2,2,2)?

Accepted Answer

A)  -2i - 3j N/C
B)  -17i - 8j + k N/C
C)  -16i - 4j + k N/C
D)  -10i - 5j - 2k N/C
E)  -3i - 8j N/C

Question 14

Four identical point charges (+ 2.50 nC)are placed at the corners of a rectangle which measures 2.00 m * 4.00 m.If the electric potential is taken to be zero at infinity,what is the potential at the geometric center of this rectangle?

Accepted Answer

A)  8.99 V
B)  19.9 V
C)  20.1 V
D)  30.0 V
E)  40.2 V

Question 15

A point charge of 5 µC is moved against a potential difference of + 20 V.What is the work done by the force moving the charge?

Accepted Answer

A)  100 µJ
B)  25 µJ
C)  5 µJ
D)  4 µJ
E)  0.1 µJ

Question 16

A positive point charge q1 = 3.70 $\mu$C is located at the origin (x=0,y=0).The charge is held fixed.Another point charge q2 = 6.90 $\mu$C starts at the point (0.170 m,0).What is the magnitude of the work required to move q2 to (0,0.370 m)(in J)?

Accepted Answer

A)  0.730
B)  0.912
C)  1.140
D)  1.425
E)  1.782

Question 17

Two isolated spheres have the same electric potential at their surface,but sphere A has twice the radius of sphere B.How is the charge on sphere A related to the charge on sphere B?

Accepted Answer

A)  QA = QB
B)  QA = 2QB
C)  2QA = QB
D)  QA = 4QB

Question 18

The potential energy stored in a system consisting of an electric dipole in a constant electric field is zero when the angle between the electric dipole moment and the electric field is:

Accepted Answer

A)  0 ∘\circ∘ 
B)  90 ∘\circ∘ 
C)  180 ∘\circ∘ 
D)  the potential energy is independent of the angle between these two vectors

Question 19

An electron is placed in an electric field and is allowed to accelerate for a distance of 1 m.If the strength of the electric field is E = 200 V/m then what is the final velocity of the electron,assuming it starts from rest?

Accepted Answer

A)  3.5 * 108 m/s
B)  1.2 * 104 m/s
C)  7.2 * 102 m/s
D)  4.1 * 103 m/s
E)  8.4 * 106 m/s

Question 20

An electric potential has the value (22V/m)(y)- (13V/m2 )(z-3m)2.What is the magnitude of electric field at the origin?

Accepted Answer

A)  78 V/m
B)  100 V/m
C)  92 V/m
D)  81 V/m
E)  56 V/m

Exam 23: Electric Potential

In an effort to produce nuclear fusion you fire a deuterium nuclei (q = + 1e,m = 3.34 * 10^-27kg) directly at another (fixed) hydrogen nucleus.How fast must you fire the deuterium for it to approach within 2.0 * 10^-15 m of the nuclei?

At a distance d from a charge,the electric potential is V.What would be the electric potential a distance d/2 from the same charge?

Consider two isolated metal spheres,the first with a charge of 8.7 and a radius of 25 cm and the second uncharged with a radius of 5.4 cm.What is the charge on the smaller sphere after a long thin metal wire is used to connect the two spheres?

When two charges are separated by a distance d,their electric potential energy is equal to U.What would be their electric potential energy if the separation distance was d/2?

A 250-g metal ball with a charge of 0.50 mC has a kinetic energy of 6.0 * 10⁸ J.It is traveling directly at an infinite plane of charge with a charge density of 33 C/m².If it is currently 2.0 m away from the plane of charge,how close will it come to the plane before stopping?

An infinite plane of charge has a planar charge density of + 2.2 nC/m² and is located in the yz plane at x=0.What fixed point charge should be placed on the x-axis at x = + 1.0 m to make the electric potential a minimum on the x-axis at x=+0.65 m?

The period of motion of a proton (mass: 1.67 * 10^-27 kg) in a one-dimensional electrical potential (17 mV/m²) x² executes simple harmonic motion with what frequency?

Two parallel plates are held at a potential of + 220 V and + 130 V.If the plates have area of 44 cm² and are separated by a distance of 7.3 mm,what is the magnitude of the electric field between the plates?

The electric potential at a point is space is given by the relation V = 23x - 27y + 11y² + 72.What is the magnitude of the electric field (in V/m) at the point r = (3.0,2.0,1.0) ?

An infinite plane of charge has a uniform planar charge density and is located in the yz plane at x=0.A fixed point charge placed on the x-axis at x = + 1.0 m and the electric potential is a minimum on the x-axis at x=+0.31 m.What is the planar charge density on the plane?

An insulating sheet in the xz-plane is uniformly charged with charge surface density $\sigma$ = 6.2 * 10^-6 C/m².What is the change in electric potential when a charge of Q=3.3 $\mu$ C is moved from a position that is 6.2 m away from the sheet to a position that is 1.3 m away from the sheet?

An electric potential is given by V=4x² + 2y² + x + z + 2 volts.What is the electric field at the point (2,2,2) ?

Four identical point charges (+ 2.50 nC) are placed at the corners of a rectangle which measures 2.00 m * 4.00 m.If the electric potential is taken to be zero at infinity,what is the potential at the geometric center of this rectangle?

A point charge of 5 µC is moved against a potential difference of + 20 V.What is the work done by the force moving the charge?

Two isolated spheres have the same electric potential at their surface,but sphere A has twice the radius of sphere B.How is the charge on sphere A related to the charge on sphere B?

The potential energy stored in a system consisting of an electric dipole in a constant electric field is zero when the angle between the electric dipole moment and the electric field is:

An electron is placed in an electric field and is allowed to accelerate for a distance of 1 m.If the strength of the electric field is E = 200 V/m then what is the final velocity of the electron,assuming it starts from rest?

An electric potential has the value (22V/m) (y) - (13V/m² ) (z-3m) ².What is the magnitude of electric field at the origin?

Exam 23: Electric Potential

In an effort to produce nuclear fusion you fire a deuterium nuclei (q = + 1e,m = 3.34 * 10-27kg) directly at another (fixed) hydrogen nucleus.How fast must you fire the deuterium for it to approach within 2.0 * 10-15 m of the nuclei?

At a distance d from a charge,the electric potential is V.What would be the electric potential a distance d/2 from the same charge?

What is the magnitude of the electric potential at point P (in V) at a distance R = 3.50 m from a point charge Q of magnitude 4.00 μ\muμ C?

Consider two isolated metal spheres,the first with a charge of 8.7 and a radius of 25 cm and the second uncharged with a radius of 5.4 cm.What is the charge on the smaller sphere after a long thin metal wire is used to connect the two spheres?

When two charges are separated by a distance d,their electric potential energy is equal to U.What would be their electric potential energy if the separation distance was d/2?

A 250-g metal ball with a charge of 0.50 mC has a kinetic energy of 6.0 * 108 J.It is traveling directly at an infinite plane of charge with a charge density of 33 C/m2.If it is currently 2.0 m away from the plane of charge,how close will it come to the plane before stopping?

An infinite plane of charge has a planar charge density of + 2.2 nC/m2 and is located in the yz plane at x=0.What fixed point charge should be placed on the x-axis at x = + 1.0 m to make the electric potential a minimum on the x-axis at x=+0.65 m?

The period of motion of a proton (mass: 1.67 * 10-27 kg) in a one-dimensional electrical potential (17 mV/m2) x2 executes simple harmonic motion with what frequency?

Two parallel plates are held at a potential of + 220 V and + 130 V.If the plates have area of 44 cm2 and are separated by a distance of 7.3 mm,what is the magnitude of the electric field between the plates?

The electric potential at a point is space is given by the relation V = 23x - 27y + 11y2 + 72.What is the magnitude of the electric field (in V/m) at the point r = (3.0,2.0,1.0) ?

An infinite plane of charge has a uniform planar charge density and is located in the yz plane at x=0.A fixed point charge placed on the x-axis at x = + 1.0 m and the electric potential is a minimum on the x-axis at x=+0.31 m.What is the planar charge density on the plane?

An insulating sheet in the xz-plane is uniformly charged with charge surface density σ\sigmaσ = 6.2 * 10-6 C/m2.What is the change in electric potential when a charge of Q=3.3 μ\muμ C is moved from a position that is 6.2 m away from the sheet to a position that is 1.3 m away from the sheet?

An electric potential is given by V=4x2 + 2y2 + x + z + 2 volts.What is the electric field at the point (2,2,2) ?

Four identical point charges (+ 2.50 nC) are placed at the corners of a rectangle which measures 2.00 m * 4.00 m.If the electric potential is taken to be zero at infinity,what is the potential at the geometric center of this rectangle?

A point charge of 5 µC is moved against a potential difference of + 20 V.What is the work done by the force moving the charge?

A positive point charge q1 = 3.70 μ\muμ C is located at the origin (x=0,y=0) .The charge is held fixed.Another point charge q2 = 6.90 μ\muμ C starts at the point (0.170 m,0) .What is the magnitude of the work required to move q2 to (0,0.370 m) (in J) ?

Two isolated spheres have the same electric potential at their surface,but sphere A has twice the radius of sphere B.How is the charge on sphere A related to the charge on sphere B?

The potential energy stored in a system consisting of an electric dipole in a constant electric field is zero when the angle between the electric dipole moment and the electric field is:

An electron is placed in an electric field and is allowed to accelerate for a distance of 1 m.If the strength of the electric field is E = 200 V/m then what is the final velocity of the electron,assuming it starts from rest?

An electric potential has the value (22V/m) (y) - (13V/m2 ) (z-3m) 2.What is the magnitude of electric field at the origin?

In an effort to produce nuclear fusion you fire a deuterium nuclei (q = + 1e,m = 3.34 * 10^-27kg) directly at another (fixed) hydrogen nucleus.How fast must you fire the deuterium for it to approach within 2.0 * 10^-15 m of the nuclei?

A 250-g metal ball with a charge of 0.50 mC has a kinetic energy of 6.0 * 10⁸ J.It is traveling directly at an infinite plane of charge with a charge density of 33 C/m².If it is currently 2.0 m away from the plane of charge,how close will it come to the plane before stopping?

An infinite plane of charge has a planar charge density of + 2.2 nC/m² and is located in the yz plane at x=0.What fixed point charge should be placed on the x-axis at x = + 1.0 m to make the electric potential a minimum on the x-axis at x=+0.65 m?

The period of motion of a proton (mass: 1.67 * 10^-27 kg) in a one-dimensional electrical potential (17 mV/m²) x² executes simple harmonic motion with what frequency?

Two parallel plates are held at a potential of + 220 V and + 130 V.If the plates have area of 44 cm² and are separated by a distance of 7.3 mm,what is the magnitude of the electric field between the plates?

The electric potential at a point is space is given by the relation V = 23x - 27y + 11y² + 72.What is the magnitude of the electric field (in V/m) at the point r = (3.0,2.0,1.0) ?

An insulating sheet in the xz-plane is uniformly charged with charge surface density $\sigma$ = 6.2 * 10^-6 C/m².What is the change in electric potential when a charge of Q=3.3 $\mu$ C is moved from a position that is 6.2 m away from the sheet to a position that is 1.3 m away from the sheet?

An electric potential is given by V=4x² + 2y² + x + z + 2 volts.What is the electric field at the point (2,2,2) ?

An electric potential has the value (22V/m) (y) - (13V/m² ) (z-3m) ².What is the magnitude of electric field at the origin?