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If the electric field just outside a thin conducting sheet is equal to 1.5 N/C,determine the surface charge density on the conductor.


A) 53 pC/m2
B) 27 pC/m2
C) 35 pC/m2
D) 13 pC/m2
E) 6.6 pC/m2

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

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D

A positive point charge q is placed off center inside an uncharged metal sphere insulated from the ground as shown.Where is the induced charge density greatest in magnitude and what is its sign? A positive point charge q is placed off center inside an uncharged metal sphere insulated from the ground as shown.Where is the induced charge density greatest in magnitude and what is its sign?   A) A;negative. B) A;positive. C) B;negative. D) B;positive. E) C;negative.


A) A;negative.
B) A;positive.
C) B;negative.
D) B;positive.
E) C;negative.

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

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A long cylindrical shell (radius = 2.0 cm) has a charge uniformly distributed on its surface.If the magnitude of the electric field at a point 8.0 cm radially outward from the axis of the shell is 85 N/C,how much charge is distributed on a 2.0-m length of the charged cylindrical surface?


A) 0.38 nC
B) 0.76 nC
C) 0.19 nC
D) 0.57 nC
E) 0.98 nC

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

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B

Each of two small non-conducting spheres is charged positively,the combined charge being 40 μ\mu C.When the two spheres are 50 cm apart,each sphere is repelled from the other by a force of magnitude 2.0 N.Determine the magnitude of the smaller of the two charges.


A) 1.4 μ\mu C
B) 1.1 μ\mu C
C) 2.0 μ\mu C
D) 3.3 μ\mu C
E) 17 μ\mu C

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

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An alpha particle (charge = +2e)is sent at high speed toward a gold nucleus (charge +79e).What is the electrical force acting on the alpha particle when it is at a distance of 2 *10 - 14 m away from the gold nucleus? (e = 1.6 *10 - 19 C)

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Charges q and Q are placed on the x axis at x = 0 and x = 2.0 m,respectively.If q = -40 pC and Q = +30 pC,determine the net flux through a spherical surface (radius = 1.0 m) centered on the origin.


A) -9.6 N . m2/C
B) -6.8 N . m2/C
C) -8.5 N .m2/C
D) -4.5 N.m2/C
E) -1.1 N .m2/C

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

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A particle (q = 4.0 mC,m = 50 g) has a velocity of 25 m/s in the positive x direction when it first enters a region where the electric field is uniform (60 N/C in the positive y direction) .What is the speed of the particle 5.0 s after it enters this region?


A) 49 m/s
B) 35 m/s
C) 32 m/s
D) 44 m/s
E) 24 m/s

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

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Charge of a uniform density (8.0 nC/m2) is distributed over the entire xy plane.A charge of uniform density (5.0 nC/m2) is distributed over the parallel plane defined by z = 2.0 m.Determine the magnitude of the electric field for any point with z = 1.0 m.


A) 0.45 kN/C
B) 0.17 kN/C
C) 0.28 kN/C
D) 0.73 kN/C
E) 0.62 kN/C

F) None of the above
G) All of the above

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A particle (m = 50 g,q = 5.0 μ\mu C) is released from rest when it is 50 cm from a second particle (Q = -20 μ\mu C) .Determine the magnitude of the initial acceleration of the 50-g particle.


A) 54 m/s2
B) 90 m/s2
C) 72 m/s2
D) 65 m/s2
E) 36 m/s2

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

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A particle (mass = 5.0 g,charge = 40 mC) moves in a region of space where the electric field is uniform and is given by Ex = -5.5 N/C,Ey = Ez = 0.If the position and velocity of the particle at t = 0 are given by x = y = z = 0 and vx = 50 m/s,vy = vz = 0,what is the distance from the origin to the particle at t = 2.0 s?


A) 60 m
B) 28 m
C) 44 m
D) 12 m
E) 88 m

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

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An uncharged spherical conducting shell surrounds a charge -q at the center of the shell.Then charge +3q is placed on the outside of the shell.When static equilibrium is reached,the charges on the inner and outer surfaces of the shell are respectively


A) +q,-q.
B) -q,+q.
C) +q,+2q.
D) +2q,+q.
E) +3q,0.

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

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A uniformly charged rod (length = 2.0 m,charge per unit length = 5.0 nC/m) is bent to form one quadrant of a circle.What is the magnitude of the electric field at the center of the circle?


A) 62 N/C
B) 56 N/C
C) 50 N/C
D) 44 N/C
E) 25 N/C

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

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Two charges of 15 pC and -40 pC are inside a cube with sides that are of 0.40-m length.Determine the net electric flux through the surface of the cube.


A) +2.8 N. m2/C
B) -1.1 N .m2/C
C) +1.1 N. m2/C
D) -2.8 N . m2/C
E) -0.47 N . m2/C

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

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D

Charge of a uniform density (8.0 nC/m2) is distributed over the entire xy plane.A charge of uniform density (3.0 nC/m2) is distributed over the parallel plane defined by z = 2.0 m.Determine the magnitude of the electric field for any point with z = 3.0 m.


A) 0.79 kN/C
B) 0.17 kN/C
C) 0.62 kN/C
D) 0.34 kN/C
E) 0.28 kN/C

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

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A charge of 25 nC is uniformly distributed along a circular arc (radius = 2.0 m) that is subtended by a 90-degree angle.What is the magnitude of the electric field at the center of the circle along which the arc lies?


A) 81 N/C
B) 61 N/C
C) 71 N/C
D) 51 N/C
E) 25 N/C

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

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Charge of uniform density (20 nC/m2) is distributed over a cylindrical surface (radius = 1.0 cm) ,and a second coaxial surface (radius = 3.0 cm) carries a uniform charge density of -12 nC/m2.Determine the magnitude of the electric field at a point 4.0 cm from the symmetry axis of the two surfaces.


A) 0.45 kN/C
B) 1.0 kN/C
C) 0.73 kN/C
D) 0.56 kN/C
E) 2.3 kN/C

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

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A uniform electric field EI\overrightarrow { \mathbf { E } } _ { \mathrm { I } } is present in the region between infinite parallel plane plates A and B and a uniform electric field EII \overrightarrow { \mathbf { E } } _ { \text {II } } is present in the region between infinite parallel plane plates B and C.When the plates are vertical, EI\overrightarrow { \mathbf { E } } _ { \mathrm { I } } is directed to the right and EII \overrightarrow { \mathbf { E } } _ { \text {II } } to the left.The signs of the charges on plates A,B and C may be


A) -,-,-.
B) +,-,-.
C) +,-,+.
D) +,+,+.
E) any one of the above.

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

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If a = 3.0 mm,b = 4.0 mm,Q1 = 60 nC,Q2 = 80 nC,and q = 24 nC in the figure,what is the magnitude of the electric force on q? If a = 3.0 mm,b = 4.0 mm,Q<sub>1</sub> = 60 nC,Q<sub>2</sub> = 80 nC,and q = 24 nC in the figure,what is the magnitude of the electric force on q?   A) 2.7 N B) 1.9 N C) 2.3 N D) 1.5 N E) 0.52 N


A) 2.7 N
B) 1.9 N
C) 2.3 N
D) 1.5 N
E) 0.52 N

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

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If Q = 16 nC,a = 3.0 m,and b = 4.0 m,what is the magnitude of the electric field at point P? If Q = 16 nC,a = 3.0 m,and b = 4.0 m,what is the magnitude of the electric field at point P?   A) 33 N/C B) 31 N/C C) 24 N/C D) 19 N/C E) 13 N/C


A) 33 N/C
B) 31 N/C
C) 24 N/C
D) 19 N/C
E) 13 N/C

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

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A point charge Q is placed on the x axis at the origin.An identical point charge is placed on the x axis at x = -1.0 m and another at x = +1.0 m.If Q = 40 μ\mu C,what is the magnitude of the electrostatic force on the charge at x = +1.0 m?


A) 29 N
B) 14 N
C) 11 N
D) 18 N
E) 7.0 N

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

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