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For a conductor in electrostatic equilibrium,which of the following statements is NOT true?


A) the electric field inside the conductor is zero
B) the charge distributes itself uniformly throughout the conductor
C) the electric field at the surface of the conductor is perpendicular to the surface of the conductor
D) the greatest concentrations of charge on the surface are in the regions of highest curvature
E) more than one of these statements about a conductor in electrostatic equilibrium is false

F) A) and B)
G) All of the above

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In a diagram of electric field lines,q1 has 9 lines going into it and q2 has 27 lines going out of it.If one of the charges is -40 mC,which of the following could be the other one?


A) -120 mC
B) 18.0 mC
C) -18.0 mC
D) 120 mC
E) none of the these choices are correct

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

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A 1.00 nC charge is placed on the x-axis at x = - 1.00 m. A second 1.00 nC charge is placed on the x-axis at x = 1.00 m. A third charge of 1.00 nC is placed on the y-axis at y = - 1.00 m. A fourth charge is place on the y-axis at y = 1.00 m. What is the fourth charge if the electric field at the origin is zero?


A) 1.00 nC
B) -1.00 nC
C) 3.00 nC
D) -3.00 nC
E) 2.00 nC

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

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A

An electron gun sends electrons through a region with an electric field of 1.5 ×\times 104 N/C for a distance of 2.5 cm.If the electrons start from rest,how fast are they moving after traversing the gun?


A) 1.1 ×\times 104 m/s
B) 1.1 ×\times 107 m/s
C) 2.3 ×\times 104 m/s
D) 2.3 ×\times 107 m/s
E) 2.6 ×\times 1015 m/s

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

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Four point charges are located at the corners of a square,1.00 m by 1.00 m.On each of two diagonally opposite corners are 1.00 μ \mu C charges.On each of the other two corners are - 1.00 μ \mu C charges.What is the magnitude of the force on one of the positive charges?


A) 8.2 ×\times 10-3 N
B) 1.3 ×\times 10-2 N
C) 3.2 ×\times 10-3 N
D) 1.9 ×\times 10-2 N
E) 0.00

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

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A long linear charge distribution of charge density 1.35 nC/m is surrounded by a concentric cylindrical surface of length 1.60 m and radius 23.6 cm.What is the electric flux through the surface of the cylinder?


A) 0.00
B) 160 N·m2/C
C) 244 N·m2/C
D) 280 N·m2/C
E) 316 N·m2/C

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

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Two charges are located on the x-axis. A 22 μ \mu C charge is located at the origin and a 47 μ \mu C charge is located at x = 4.0 m.What is the electric field at x = 3.00 m?


A) 4.5 ×\times 105 N/C in the positive x-direction
B) 4.9 ×\times 105 N/C in the negative x-direction
C) 4.0 ×\times 105 N/C in the negative x-direction
D) 4.9 ×\times 105 N/C in the positive x-direction
E) 6.3 ×\times 105 N/C in the negative x-direction

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

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A 72 nC charge is located at x = 3.00 m on the x-axis and an 8.0 nC charge is located at x = 7.0 m.At what point on the x-axis is the electric field zero?


A) - 9.0 m
B) 4.0 m
C) -5.0 m
D) 6.0 m
E) 6.3 m

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

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A point charge of 3.00 μ \mu C is located on the y-axis at y = 4.0 m,another point charge of 6.0 μ \mu C is located on the x-axis at x = 5.0 m,and a third charge of 7.2 μ \mu C is located at (5.0 m,4.0 m) .What is the magnitude of the force on the 7.2 μ \mu C charge?


A) 1.2 ×\times 10-2 N
B) 1.6 ×\times 10-2 N
C) 1.9 ×\times 10-2 N
D) 2.6 ×\times 10-2 N
E) 3.3 ×\times 10-2 N

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

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A thin metallic shell of radius 40 cm has a charge of -25 nC on it.At the center of the sphere is a point charge of 35 nC.What is the electric field 15 cm from the center of the shell?


A) 2.4 ×\times 104 N/C inward
B) 1.4 ×\times 104 N/C inward
C) 2.4 ×\times 104 N/C outward
D) 1.4 ×\times 104 N/C outward
E) 4.0 ×\times 104 N/C outward

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

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We find from Gauss's law that the flux through a closed surface


A) is proportional to the net charge enclosed.
B) is inversely proportional to the net charge enclosed.
C) is proportional to the square root of the charge enclosed.
D) is zero.
E) is less the larger the closed surface.

F) A) and D)
G) All of the above

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A

If more field lines leave a closed surface than enter that surface,then


A) a net positive charge is contained inside the surface.
B) a net negative charge is contained inside the surface.
C) an error has been made since the number of field lines entering a surface must equal those leaving the surface.
D) an operating electron gun is inside the surface.
E) there must be a charge on the surface.

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

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A thin spherical shell of radius 20.0 cm has 5.0 μ \mu C of charge uniformly distributed over its surface.What is the magnitude of the electric field 2.00 m from the center of the sphere?


A) 2.3 ×\times 104 N/C
B) 1.1 ×\times 104 N/C
C) 1.4 ×\times 103 N/C
D) 2.3 ×\times 106 N/C
E) 0

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

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Three point charges are positioned as follows: q1 is at (0.00 m,0.00 m) ,q2 is at (1.20 m,0.00 m) ,and q3 is at (1.20 m,1.60 m) .If q1 = 1.00 μ \mu C,q2 = 2.00 μ \mu C,and q3 = 3.00 μ \mu C,what is the magnitude of the force on q2?


A) 2.45 ×\times 10-2 N
B) 1.25 ×\times 10-2 N
C) 2.11 ×\times 10-2 N
D) 3.36 ×\times 10-2 N
E) 5.08 ×\times 10-2 N

F) All of the above
G) A) and E)

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The Coulomb constant,k,has a value of 8.99 ×\times 109 N·m2/C2.The permittivity of free space, εo\varepsilon_{o} ,has the units


A) N·m2/C2.
B) N·m/C.
C) C/(N·m) .
D) C2/(N·m2) .
E) that are not given.

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

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A horizontally-projected beam of protons travelling at 55 km/s travels between two parallel plates separated by 7.4 cm,and 12 cm long,between which there is an electric field of 7.2 V/m upward.If the beam enters the region at a height of 3.7 cm above the lower plate,at what height above the lower plate is the beam when it exits? The proton mass is 1.67 ×\times 10-27 kg.


A) 4.4 cm
B) 3.0 cm
C) 5.1 cm
D) 2.3 cm

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

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A

Four point charges are located at the corners of a square,1.00 m by 1.00 m.On each of two diagonally opposite corners are 1.00 μ \mu C charges.On each of the other two corners are -1.00 μ \mu C charges.What is the direction of the force on each charge?


A) positive charges away from away from the center of the square,negative inward toward center
B) negative charges away from away from the center of the square,positive inward toward center
C) positive and negative charges both toward the center of the square
D) positive and negative charges both away from the center of the square
E) no direction (net force = 0)

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

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Household wiring is made with


A) conductors inside insulators.
B) insulators inside conductors.
C) semiconductors inside conductors.
D) semiconductors inside insulators.
E) semiconductors inside insulators inside conductors.

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

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An imaginary spherical surface has radius 1.5 m.Fully contained within and concentric with the spherical surface is a spherical conductor with a uniform surface charge density of 1.5 ×\times 10-7 C/m2.What is its radius if the flux through the imaginary surface is electric field 1.5 m from its center is 480 Nm2/C?


A) 3.2 cm
B) 4.7 cm
C) 9.5 cm
D) 6.4 cm
E) 3.9 cm

F) All of the above
G) A) and B)

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A horizontally-projected beam of protons travelling at 55 km/s travels between two parallel plates separated by 7.4 cm,and 12 cm long,between which there is an electric field of 7.2 mV/m upward.If the beam enters the region at exactly midway vertically between the plates,and exits the region 7.2 microns closer to the lower plate,where relative to the lower plate would a beam of electrons - injected into the region at the same location - exit? The proton mass is 1.67 ×\times 10-27 kg and that of the electron is 9.11 ×\times 10-31 kg.


A) 0.9 cm
B) 5.1 cm
C) 2.3 cm
D) 4.6 cm

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

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