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Two identical spheres each carry a charge of −47.1 µC.The spheres are separated by a distance of 1.74 m.What is the electric force between the spheres? (ke = 8.99 × 109 N·m2/C2) ​


A) 0.1 N (repulsive)
B) 6.6 N (repulsive)
C) 11.5 N (attractive)
D) 0.7 N (attractive)
E) ​13.2 N (attractive)

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

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An electron with a speed of 3 × 106 m/s moves into a uniform electric field of 600 N/C that is parallel to the electron's motion.How long does it take to bring the electron to rest? (me = 9.11 × 10−31 kg,e = 1.6 × 10−19 C)


A) 2.8 × 10−8 s
B) 0.9 × 10−8 s
C) 11.4 × 10−7 s
D) 2.6 × 10−6 s
E) ​4.3 × 10−7 s

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

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Three equal positive charges are placed on the x-axis,one at the origin,one at x = 2 m,and the third at x = 6 m.Of the following points,which has the greatest magnitude electric field? ​


A) x = 1 m
B) x = 4 m
C) x = 7 m
D) The electric field has the same magnitude at all three positions.
E) ​x = 0 m

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

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A metallic object holds a charge of −5.3 × 10−6 C.What total number of electrons does this represent? (e = 1.6 × 10−19 C is the magnitude of the electronic charge. )


A) 3.3 × 1014
B) 8.6 × 1013
C) 3.3 × 1013
D) 1.6 × 1014
E) ​8.6 × 1014

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

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An initially uncharged hollow metallic sphere with radius of 6 cm has a small object with a charge of +19 µC carefully placed at the center of the sphere through a hole in the latter's surface.With the charge in place,what charge is now present on the outside surface of the sphere? ​


A) zero
B) −19 µC
C) +7,600 µC
D) +19 µC
E) ​−7,600 µC

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

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A charge,+Q,is placed inside a balloon and the balloon is inflated.As the radius of the balloon r increases the number of field lines going through the surface of the balloon:


A) increases proportional to r2.
B) increases proportional to r.
C) stays the same.
D) decreases as 1/r.

E) None of the above
F) A) and B)

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Two electrons are separated by 4 cm.What is the ratio of the electric force to the gravitational force between them? (me = 9.11 × 10−31 kg,ke = 8.99 × 109 N⋅m2/C2,G = 6.67 × 10-11 N⋅m2/kg2,and e = 1.6 × 10−19 C) ​


A) 2.3 × 102
B) 1.3 × 1020
C) 3.1 × 1022
D) 4.2 × 1042
E) 1

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

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Electric field is dimensionally equivalent to which of the following?


A) N⋅m/C
B) N/C
C) N⋅m2/C2
D) N/C2

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

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In Millikan's oil drop experiment,if the electric field between the plates was of just the right magnitude,it would exactly balance the weight of the drop.Suppose a tiny spherical oil droplet of radius 1.3 × 10−4 cm carries a charge equivalent to one electron.What electric field is required to balance the weight? (The density of oil is 0.85 g/cm3,e = 1.6 × 10−19 C. ) ​


A) 38.3 × 105 N/C
B) 0.6 × 105 N/C
C) 0 × 105 N/C
D) 4.8 × 105 N/C
E) 129.4 × 105 N/C

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

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If a conductor is in electrostatic equilibrium near an electrical charge:


A) the total charge on the conductor must be zero.
B) the electric field inside the conductor must be zero.
C) any charges on the conductor must be uniformly distributed.
D) the sum of all forces between the conductor and the charge must be zero.

E) All of the above
F) B) and C)

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An initially uncharged hollow metallic sphere with radius of 5 cm has a small object with a charge of +10 µC carefully placed at the center of the sphere through a hole in the latter's surface.What charge resides inner surface of the sphere?


A) −4,000 µC
B) -10 µC
C) +10 µC
D) zero
E) ​+4,000

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

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The Millikan oil-drop experiment demonstrated that:


A) small oil drops fall slowly through the air.
B) light beams can be used to illuminate small oil droplets.
C) the electronic charge is quantized.
D) falling oil droplets reach terminal speed.

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

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A proton initially moves left to right long the x axis at a speed of 9 × 103 m/s.It moves into an electric field,which points in the negative x direction,and travels a distance of 0.8 m before coming to rest.If the proton's mass and charge are 1.67 × 10−27 kg and 1.60 × 10−19 C respectively,what is the magnitude of the electric field? ​


A) 42.8 N/C
B) 0.053 N/C
C) 0.528 N/C
D) 0.66 N/C
E) 1.057 N/C

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

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An electron is sent at high speed toward a gold nucleus (charge +79e) .What is the electrical force acting on the electron when it is 3.4 × 10−14 m away from the gold nucleus? (e = 1.6 × 10−19 C,ke = 8.99 × 109 N·m2/C2) ​


A) 16 N
B) 1.57 N
C) 1.6 × 10−4 N
D) 1 × 10−6 N
E) ​12.4

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

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Two point charges are placed along a horizontal axis with the following values and positions: +3.6 µC at x = 0 cm and −7.1 µC at x = 40 cm.At what point along the x axis is the electric field zero? ​


A) 20 cm
B) 17 cm
C) -10 cm
D) -99 cm
E) ​-139 cm

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

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The electric field associated with a uniformly charged hollow metallic sphere is the greatest at:


A) the center of the sphere.
B) the sphere's inner surface.
C) infinity.
D) the sphere's outer surface.

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

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Charge A and charge B are 3.12 m apart,and charge A is +1.49 C and charge B is +3.37 C.Charge C is located between them at a certain point and the force on charge C is zero.How far from charge A is charge C? ​


A) 1.87 m
B) 2.26 m
C) 1.25 m
D) 0.44 m
E) 2.07 m

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

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At what point is the charge per unit area greatest on the surface of an irregularly shaped conducting solid?


A) where surface curves inward
B) where surface is flat
C) where curvature is least
D) where curvature is greatest

E) B) and D)
F) B) and C)

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An airplane is flying through a thundercloud at a height of 2,500 m.(This is a very dangerous thing to do because of updrafts,turbulence,and the possibility of electric discharge. ) If there is a charge concentration of +31 C at height 4,000 m within the cloud and −31 C at height 500 m,what is the magnitude of the electric field E at the aircraft? (ke = 8.99 × 109 N·m2/C2)


A) 69,673 N/C
B) 123,862 N/C
C) 45,500 N/C
D) 193,535 N/C
E) ​139,345 N/C

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

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Relative distribution of charge density on the surface of a conducting solid depends on:


A) the shape of the conductor.
B) mass density of the conductor.
C) type of metal of which the conductor is made.
D) strength of the earth's gravitational field.

E) A) and B)
F) None of the above

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