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An electron (m = 9.1 *10 - 31 kg,q = -1.6*10 - 19 C) starts from rest at point A and has a speed of 5.0 *106 m/s at point B.Only electric forces act on it during this motion.Determine the electric potential difference VA -VB.


A) -71 V
B) +71 V
C) -26 V
D) +26 V
E) -140 V

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A charge of 20 nC is distributed uniformly along the x axis from x = -2.0 m to x = +2.0 m.What is the electric potential (relative to zero at infinity) at the point x = 5.0 m on the x axis?


A) 57 V
B) 48 V
C) 38 V
D) 67 V
E) 100 V

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Two particles,each having a mass of 3.0 μ\mu g and having equal but opposite charges of magnitude 5.0 nC,are released simultaneously from rest when the two are 5.0 cm apart.What is the speed of either particle at the instant when the two are separated by 2.0 cm?


A) 2.1 m/s
B) 1.5 m/s
C) 1.8 m/s
D) 2.4 m/s
E) 3.2 m/s

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For the potential V=3x2z2yz3V = 3 x ^ { 2 } z - 2 y z ^ { 3 } ,what is the corresponding electric field at the point (2,2,2) ?


A) 24i~+16j~+36k~- 24 \tilde { \mathbf { i } } + 16 \tilde { \mathbf { j } } + 36 \tilde { \mathbf { k } }
B) 12i~16j~+16k~12 \tilde { \mathbf { i } } - 16 \tilde { \mathbf { j } } + - 16 \tilde{ \mathbf { k } }
C) 24i~16j~36k~24 \tilde { \mathbf { i } } - 16 \tilde{ \mathbf { j } } - 36 \tilde { \mathbf { k } }
D) 6i~+2j~+6k~- 6 \tilde { \mathbf { i } } + 2 \tilde { \mathbf { j } } + 6 \tilde { \mathbf { k } }
E) The correct answer is not given.

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A charge of +3.0 ±\pm C is distributed uniformly along the circumference of a circle with a radius of 20 cm.How much external energy is required to bring a charge of 25 ±\pm C from infinity to the center of the circle?


A) 5.4 J
B) 3.4 J
C) 4.3 J
D) 2.7 J
E) 6.8 J

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What is the potential difference across C2 when C1 = 5.0 μ\mu F,C2 = 15 μ\mu F,C3 = 30 μ\mu F,and V0 = 24 V?  What is the potential difference across C<sub>2</sub> when C<sub>1</sub> = 5.0  \mu F,C<sub>2</sub> = 15  \mu F,C<sub>3</sub> = 30  \mu F,and V<sub>0</sub> = 24 V?   A) 21 V B) 19 V C) 16 V D) 24 V E) 8.0 V


A) 21 V
B) 19 V
C) 16 V
D) 24 V
E) 8.0 V

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Determine the energy stored by C4 when C1 = 20 μ\mu F,C2 = 10 μ\mu F,C3 = 14 μ\mu F,C4 = 30 μ\mu F,and V0 = 45 V.  Determine the energy stored by C<sub>4</sub> when C<sub>1</sub> = 20  \mu F,C<sub>2</sub> = 10  \mu F,C<sub>3</sub> = 14  \mu F,C<sub>4</sub> = 30  \mu F,and V<sub>0</sub> = 45 V.   A) 3.8 mJ B) 2.7 mJ C) 3.2 mJ D) 2.2 mJ E) 8.1 mJ


A) 3.8 mJ
B) 2.7 mJ
C) 3.2 mJ
D) 2.2 mJ
E) 8.1 mJ

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The electric potential at the surface of a charged conductor


A) is always zero.
B) is always independent of the magnitude of the charge on the surface.
C) may be set equal to zero by adding an appropriate constant to the potential at all points of space.
D) is always such that the potential is zero at all points inside the conductor.
E) is always such that the potential is always zero within a hollow space inside the conductor.

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If C = 10 μ\mu F,what is the equivalent capacitance for the combination shown?  If C = 10  \mu F,what is the equivalent capacitance for the combination shown?   A) 7.5 \mu F B) 6.5  \mu F C) 7.0  \mu F D) 5.8  \mu F E) 13 \mu F


A) 7.5 μ\mu F
B) 6.5 μ\mu F
C) 7.0 μ\mu F
D) 5.8 μ\mu F
E) 13 μ\mu F

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Charge of uniform density (3.5 nC/m) is distributed along the circular arc shown.Determine the electric potential (relative to zero at infinity) at point P. Charge of uniform density (3.5 nC/m) is distributed along the circular arc shown.Determine the electric potential (relative to zero at infinity) at point P.   A) 61 V B) 42 V C) 52 V D) 33 V E) 22 V


A) 61 V
B) 42 V
C) 52 V
D) 33 V
E) 22 V

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A charge of uniform density (0.80 nC/m) is distributed along the x axis from the origin to the point x = 10 cm.What is the electric potential (relative to zero at infinity) at a point,x = 18 cm,on the x axis?


A) 7.1 V
B) 5.8 V
C) 9.0 V
D) 13 V
E) 16 V

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The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a0 = 0.529 * 10 - 10 m.The electric potential created by the proton at the position of the electron is


A) -13.6 V.
B) +13.6 V.
C) -27.2 V.
D) +27.2 V.
E) +5.12 * 109 V.

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Three identical point charges (+2.0 nC) are placed at the corners of an equilateral triangle with sides of 2.0-m length.If the electric potential is taken to be zero at infinity,what is the potential at the midpoint of any one of the sides of the triangle?


A) 16 V
B) 10 V
C) 70 V
D) 46 V
E) 44 V

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An electric dipole having dipole moment of magnitude p is placed in a uniform electric field having magnitude E.What is the magnitude of the greatest change in potential energy that can happen for this dipole in this field?


A) pE
B) 2pE2 p E
C) 4pE
D) 2pE\sqrt { 2 } p E
E) No answer given is correct.

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How much electrical charge is needed to raise an isolated metal sphere of radius 1.0 m to a potential of 1.0 *106 V?

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1.1 *10

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Two particles,each having a mass of 3.0 μ\mu g and having equal but opposite charges of magnitude of 6.0 nC,are released simultaneously from rest when they are a very large distance apart.What distance separates the two at the instant when each has a speed of 5.0 m/s?


A) 4.3 mm
B) 8.6 mm
C) 7.3 mm
D) 5.6 mm
E) 2.2 mm

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Point charges of equal magnitudes (25 nC) and opposite signs are placed on (diagonally) opposite corners of a 60-cm *80-cm rectangle.If point A is the corner of this rectangle nearest the positive charge and point B is located at the intersection of the diagonals of the rectangle,determine the potential difference,VB -VA.


A) -47 V
B) +94 V
C) zero
D) -94 V
E) +47 V

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In the Bohr model of the hydrogen atom,the electron circles the proton at a distance of 0.529 *10 - 10 m.Find the potential at the position of the electron.

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When a capacitor has a charge of magnitude 80 μ\mu C on each plate the potential difference across the plates is 16 V.How much energy is stored in this capacitor when the potential difference across its plates is 42 V?


A) 1.0 mJ
B) 4.4 mJ
C) 3.2 mJ
D) 1.4 mJ
E) 1.7 mJ

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Identical 8.0- μ\mu C point charges are positioned on the x axis at x = ±\pm 1.0 m and released from rest simultaneously.What is the kinetic energy of either of the charges after it has moved 2.0 m?


A) 84 mJ
B) 54 mJ
C) 96 mJ
D) 63 mJ
E) 48 mJ

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