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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.A + 3.3 nC fixed point charge is located at x = + 1.0 m.At what position on the x-axis between x = 0.0 m and x = + 1.0 m is the electric potential a minimum?


A) 0.49 m
B) 0.31 m
C) 0.65 m
D) 0.51 m
E) 0.69 m

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


A) -22V/m ŷ
B) -78V/m ẑ
C) + 56V/m
D) -22V/m ŷ - 78V/m ẑ
E) + 22 V/m ŷ + 78V/m ẑ

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A point charge is moved against a potential difference of + 20 V.The work done by the force moving the charge is 25 µJ.What is the charge?


A) 5.0 µC
B) 2.5 µC
C) 1.3 µC
D) 0.80 µC
E) 1.0 µC

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A point charge of 5.0 A point charge of 5.0   is located at (2.5 m,4.1 m) .A second point charge of     is located at (-2.0 m,1.0 m) .What is the electric potential at the origin? A) 1.4 * 10<sup>3</sup> V B) 2.6 * 10<sup>3</sup> V C) 3.7 * 10<sup>3</sup> V D) 5.2 * 10<sup>3</sup> V E) 7.9 * 10<sup>3</sup> V is located at (2.5 m,4.1 m) .A second point charge of A point charge of 5.0   is located at (2.5 m,4.1 m) .A second point charge of     is located at (-2.0 m,1.0 m) .What is the electric potential at the origin? A) 1.4 * 10<sup>3</sup> V B) 2.6 * 10<sup>3</sup> V C) 3.7 * 10<sup>3</sup> V D) 5.2 * 10<sup>3</sup> V E) 7.9 * 10<sup>3</sup> V A point charge of 5.0   is located at (2.5 m,4.1 m) .A second point charge of     is located at (-2.0 m,1.0 m) .What is the electric potential at the origin? A) 1.4 * 10<sup>3</sup> V B) 2.6 * 10<sup>3</sup> V C) 3.7 * 10<sup>3</sup> V D) 5.2 * 10<sup>3</sup> V E) 7.9 * 10<sup>3</sup> V is located at (-2.0 m,1.0 m) .What is the electric potential at the origin?


A) 1.4 * 103 V
B) 2.6 * 103 V
C) 3.7 * 103 V
D) 5.2 * 103 V
E) 7.9 * 103 V

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Two point charges are located at two corners of a triangle as shown.What is the electric potential at the right corner of the triangle? Two point charges are located at two corners of a triangle as shown.What is the electric potential at the right corner of the triangle?   A) 2.1 * 10<sup>5</sup> V B) 3.4 * 10<sup>5</sup> V C) 4.5 * 10<sup>5</sup> V D) 6.3 * 10<sup>5</sup> V E) 7.2 * 10<sup>5</sup> V


A) 2.1 * 105 V
B) 3.4 * 105 V
C) 4.5 * 105 V
D) 6.3 * 105 V
E) 7.2 * 105 V

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An electron is accelerated from rest through a potential difference of 450 V.What is its final speed?


A) 0.81 * 107 m/s
B) 1.3 * 107 m/s
C) 2.9 * 107 m/s
D) 4.1 * 107 m/s

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Two charged particles,Q1 = + 12.0 mC,Q2 = -5.0mC are placed on a line.At what finite locations along the line may the electric potential be equal to zero? I.in between the particles,closer to the positive particle II.in between the particles,closer to the negative particle III.not in between,but closer to the positive particle IV.not in between,but closer to the negative particle V.It can never be zero.


A) I only
B) II only
C) V only
D) I and IV
E) II and IV

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A 5.0 V battery is connected to two parallel metal plates placed in a vacuum.An electron is accelerated from rest from the negative plate toward the positive plate.What kinetic energy does the electron have as it just reaches the positive plate?


A) 5.6 * 10-19 J
B) 6.1 * 10-19 J
C) 8.0 * 10-19 J
D) 8.9 * 10-19 J
E) 9.7 * 10-19 J

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How much charge must be placed on a 10 cm diameter metal sphere so that the electric potential at the center of the sphere is 1.0 V? Assume that the electric potential is zero at points infinitely far away from the sphere.


A) 2.8 * 10-13 C
B) 1.1 * 10-12 C
C) 5.6 * 10-12 C
D) 1.1 * 10-11 C
E) 2.2 * 10-11 C

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An electron (mass: 9.11 * 10-31 kg) and a proton (mass: 1.67 * 10-27 kg) are each accelerated from rest through a potential difference of 15 V that spans 15 cm.Which one takes less time to cover the 15 cm distance?


A) It's a tie-each reaches 15cm at the same time.
B) There isn't enough information given to answer this question.
C) The electron beats the proton.
D) The proton beats the electron.

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


A) -23
B) -95
C) 95
D) -17
E) -29

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The potential energy of a system of three 2 μ\mu C charges arranged in an equilateral triangle is 0.54 J What is the length of one side of this triangle?


A) 20 cm
B) 51 cm
C) 85 cm
D) 33 cm
E) 62 cm

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A 20-g ball with 2 μ\mu C of charge is placed 1 m away from a fixed 1-C charge and released.How fast is the charge moving a very long time later?


A) 2500 m/s
B) 750 m/s
C) 3400 m/s
D) 1300 m/s
E) 4200 m/s

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How much work would be required to move an electron from 0.0529 * 10-9 m from a proton to four times that distance?


A) 5.4 * 10-18J
B) 3.3 * 10-18J
C) 1.6 * 10-18J
D) None are correct.

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A cartoon dog obtains a voltage of 17,000 V in his fur by scuffing his feet on the carpet.If he can be treated as a sphere of radius 12 cm,how much charge is on his fur?


A) 1.2 * 10-8 C
B) 2.7 * 10-8 C
C) 3.4 * 10-8 C
D) 1.4 * 10-7 C
E) 2.3 * 10-7 C

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In large televisions,electrons are accelerated from rest by a potential difference of 20 kV and shot onto a phosphorescent screen to produce an image.What is the speed of the electrons when they reach the screen?


A) 1.4 * 106 m/s
B) 1.3 * 107 m/s
C) 4.4 * 107 m/s
D) 5.9 * 107 m/s
E) 8.4 * 107 m/s

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Two charges Q1 = 4.4 μ\mu C and Q2 = -3.9 μ\mu C are located on the x-axis at x1 = -80 m and x2 = 87 m.What is the electric potential at x = 52 m?


A) 0.125 V
B) -0.125 V
C) 0 V
D) 703 V
E) -703 V

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In Rutherford's famous experiment,alpha particles of mass 6.64 * 10-27 kg and charge + 2e were fired directly at a gold nucleus (charge + 79e) with a speed of 3 * 107 m/s.Due to the Coulomb repulsive force the alpha particles slowed down and eventually came to rest momentarily before turning around.The distance alpha particles came closest to the gold nucleus before turning around was


A) 27.4 fm.
B) 15.1 fm.
C) 12.1 fm.
D) 9.8 fm.
E) 5.4 fm.

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What is the potential energy of a system of three 2 μ\mu C charges arranged in an equilateral triangle of side 20 cm?


A) 0.54 J
B) 0.32 J
C) 0.74 J
D) 0.18 J
E) 0.26 J

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A metal sphere of radius R = 30 cm carries a total charge Q = 2.0 μ\mu C.A charge is located 5 m from the center of the sphere.How much work does it take to move the charge to a point exactly on the opposite side of the sphere,5 m away from the center,on the negative x-axis?


A) 1440 J
B) 0 J
C) -1440 J
D) 3.2 * 10-6 J
E) -3.2 * 10-6 J

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