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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:


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

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

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A positive point charge q1 = 3.70 μ\mu C is located at the origin (x=0,y=0) .The charge is held fixed.Another point charge q2 = 6.90 μ\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) ?  A positive point charge q<sub>1</sub> = 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 q<sub>2</sub> to (0,0.370 m) (in J) ?   A) 0.730 B) 0.912 C) 1.140 D) 1.425 E) 1.782


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

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


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

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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?


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

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


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

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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?


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

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Consider two isolated metal spheres,the first with a charge of 8.7 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? A) 0   B) 1.5   C) 4.4   D) 7.2   E) 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?


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

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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.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?


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

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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?


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

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


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

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A

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

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

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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?


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

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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?


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

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C

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?


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

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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) 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

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A

An insulating sheet in the xz-plane is uniformly charged with charge surface density σ\sigma = 6.2 * 10-6 C/m2.What is the change in electric potential when a charge of Q=3.3 μ\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?


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

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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?


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

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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 magnitude of the electric field (in V/m) at the point r = (3.0,2.0,1.0) ?


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

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