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A charge per unit length given by λ\lambda (x) = bx, where b = 12 nC/m2, is distributed along the x axis from x = +9.0 cm to x = +16 cm.If the electric potential at infinity is taken to be zero, what is the electric potential at the point P on the y axis at y = 12 cm?


A) 5.4 V
B) 7.2 V
C) 9.0 V
D) 9.9 V
E) 16 V

F) A) and C)
G) A) and D)

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A particle (charge = 40 μ\mu C) moves directly toward a second particle (charge = 80 μ\mu C) which is held in a fixed position.At an instant when the distance between the two particles is 2.0 m, the kinetic energy of the moving particle is 16 J.Determine the distance separating the two particles when the moving particle is momentarily stopped.


A) 0.75 m
B) 0.84 m
C) 0.95 m
D) 0.68 m
E) 0.56 m

F) C) and D)
G) A) and D)

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Two large parallel conducting plates are 8.0 cm apart and carry equal but opposite charges on their facing surfaces.The magnitude of the surface charge density on either of the facing surfaces is 2.0 nC/m2.Determine the magnitude of the electric potential difference between the plates.


A) 36 V
B) 27 V
C) 18 V
D) 45 V
E) 16 V

F) B) and D)
G) B) and C)

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Through what potential difference must an electron (starting from rest) be accelerated if it is to reach a speed of 3.0 *107 m/s?


A) 5.8 kV
B) 2.6 kV
C) 7.1 kV
D) 8.6 kV
E) 5.1 kV

F) A) and E)
G) C) and D)

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A particle (mass = 6.7 *10-27 kg, charge = 3.2 * 10-19 C) moves along the positive x axis with a speed of 4.8 *105 m/s.It enters a region of uniform electric field parallel to its motion and comes to rest after moving 2.0 m into the field.What is the magnitude of the electric field?


A) 2.0 kN/C
B) 1.5 kN/C
C) 1.2 kN/C
D) 3.5 kN/C
E) 2.4 kN/C

F) D) and E)
G) A) and B)

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A solid conducting sphere (radius = 5.0 cm) has a charge of 0.25 nC distributed uniformly on its surface.If point A is located at the centre of the sphere and point B is 15 cm from the centre, what is the magnitude of the electric potential difference between these two points?


A) 23 V
B) 30 V
C) 15 V
D) 45 V
E) 60 V

F) None of the above
G) C) and D)

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Two charges lie on the x axis, +3q at the origin, and -2q at x = 5.0 m.The point on the x axis where the electric potential has a zero value (when the value at infinity is also zero) is:


A) 1.0 m.
B) 2.0 m.
C) 2.5 m.
D) 3.0 m.
E) 4.0 m.

F) A) and E)
G) B) and D)

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When a negative charge is released and moves along an electric field line, it moves to a position of:


A) lower potential and lower potential energy.
B) lower potential and higher potential energy.
C) higher potential and lower potential energy.
D) higher potential and higher potential energy.
E) decreasing magnitude of the electric field.

F) A) and E)
G) C) and D)

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An alpha particle (m = 6.7 * 10-27 kg, q = +3.2 *10-19 C) has a speed of 20 km/s at point A and moves to point B where it momentarily stops.Only electric forces act on the particle during this motion.Determine the electric potential difference VA -VB.


A) +4.2 V
B) (-4.2 V)
C) (-9.4 V)
D) +9.4 V
E) (-8.4 V)

F) A) and D)
G) B) and E)

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B

A charge of +3.0 μ\mu 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 μ\mu C from infinity to the centre of the circle?


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

F) A) and B)
G) A) and C)

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Charge of uniform density 90 nC/m3 is distributed throughout the inside of a long non-conducting cylindrical rod (radius = 2.0 cm) .Determine the magnitude of the potential difference of point A (2.0 cm from the axis of the rod) and point B (4.0 cm from the axis) .


A) 1.9 V
B) 1.4 V
C) 2.2 V
D) 2.8 V
E) 4.0 V

F) B) and D)
G) A) and B)

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Several charges in the neighbourhood of point P produce an electric potential of 6.0 kV (relative to zero at infinity) and an electric field of N/C at point P.Determine the work required of an external agent to move a 3.0- μ\mu C charge along the x axis from infinity to point P without any net change in the kinetic energy of the particle.  Several charges in the neighbourhood of point P produce an electric potential of 6.0 kV (relative to zero at infinity)  and an electric field of N/C at point P.Determine the work required of an external agent to move a 3.0- \mu C charge along the x axis from infinity to point P without any net change in the kinetic energy of the particle.   A) 21 mJ B) 18 mJ C) 24 mJ D) 27 mJ E) 12 mJ


A) 21 mJ
B) 18 mJ
C) 24 mJ
D) 27 mJ
E) 12 mJ

F) C) and D)
G) B) and C)

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If a = 30 cm, b = 20 cm, q = +2.0 nC, and Q = -3.0 nC in the figure, what is the potential difference VA - VB? If a = 30 cm, b = 20 cm, q = +2.0 nC, and Q = -3.0 nC in the figure, what is the potential difference VA - VB?   A) +60 V B) +72 V C) +84 V D) +96 V E) +48 V


A) +60 V
B) +72 V
C) +84 V
D) +96 V
E) +48 V

F) B) and D)
G) B) and C)

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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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When a charged particle is moved along an electric field line:


A) the electric field does no work on the charge.
B) the electrical potential energy of the charge does not change.
C) the electrical potential energy of the charge undergoes the maximum change in magnitude.
D) the voltage changes, but there is no change in electrical potential energy.
E) the electrical potential energy undergoes the maximum change, but there is no change in voltage.

F) A) and C)
G) B) and C)

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C

Two identical particles, each with a mass of 4.5 μ\mu g and a charge of 30 nC, are moving directly toward each other with equal speeds of 4.0 m/s at an instant when the distance separating the two is equal to 25 cm.How far apart will they be when closest to one another?


A) 9.8 cm
B) 12 cm
C) 7.8 cm
D) 15 cm
E) 20 cm

F) C) and E)
G) A) and B)

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C

What is the speed of a proton that has been accelerated from rest through a potential difference of 4.0 kV?


A) 1.1 * 106 m/s
B) 9.8 * 105 m/s
C) 8.8 * 105 m/s
D) 1.2 * 106 m/s
E) 6.2 * 105 m/s

F) D) and E)
G) B) and D)

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Charge of uniform linear density 6.0 nC/m is distributed along the x axis from x = 0 to x = +3 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity) at the point y = +4 m on the y axis?


A) Charge of uniform linear density 6.0 nC/m is distributed along the x axis from x = 0 to x = +3 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity)  at the point y = +4 m on the y axis? A)    B)    C)    D)    E)
B) Charge of uniform linear density 6.0 nC/m is distributed along the x axis from x = 0 to x = +3 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity)  at the point y = +4 m on the y axis? A)    B)    C)    D)    E)
C) Charge of uniform linear density 6.0 nC/m is distributed along the x axis from x = 0 to x = +3 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity)  at the point y = +4 m on the y axis? A)    B)    C)    D)    E)
D) Charge of uniform linear density 6.0 nC/m is distributed along the x axis from x = 0 to x = +3 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity)  at the point y = +4 m on the y axis? A)    B)    C)    D)    E)
E) Charge of uniform linear density 6.0 nC/m is distributed along the x axis from x = 0 to x = +3 m.Which of the following integrals is correct for the electric potential (relative to zero at infinity)  at the point y = +4 m on the y axis? A)    B)    C)    D)    E)

F) B) and C)
G) A) and B)

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The electric potential inside a charged solid spherical conductor in equilibrium:


A) is always zero.
B) is constant and equal to its value at the surface.
C) decreases from its value at the surface to a value of zero at the centre.
D) increases from its value at the surface to a value at the centre that is a multiple of the potential at the surface.
E) is equal to the charge passing through the surface per unit time divided by the resistance.

F) A) and B)
G) B) and E)

Correct Answer

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When a positive charge is released and moves along an electric field line, it moves to a position of:


A) lower potential and lower potential energy.
B) lower potential and higher potential energy.
C) higher potential and lower potential energy.
D) higher potential and higher potential energy.
E) greater magnitude of the electric field.

F) A) and E)
G) B) and D)

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