Exam 21: Electric Charge and Electric Field
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When two point charges are a distance d part,the electric force that each one feels from the other has magnitude F.In order to make this force twice as strong,the distance would have to be changed to
(Multiple Choice)
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A very long wire carries a uniform linear charge density of
What is the electric field strength
from the center of the wire at a point on the wire's perpendicular bisector? 
(Multiple Choice)
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Three equal negative point charges are placed at three of the corners of a square of side d as shown in the figure.Which of the arrows represents the direction of the net electric field at the center of the square? 
(Multiple Choice)
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A pair of charged conducting plates produces a uniform field of 12,000 N/C,directed to the right,between the plates.The separation of the plates is 40 mm.An electron is projected from plate A,directly toward plate B,with an initial velocity of
,as shown in the figure.
,ε0 =
,
The velocity of the electron as it strikes plate B is closest to 
(Multiple Choice)
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A positive point charge Q is fixed on a very large horizontal frictionless tabletop.A second positive point charge q is released from rest near the stationary charge and is free to move.Which statement best describes the motion of q after it is released?
(Multiple Choice)
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The figure shows two tiny 5.0-g spheres suspended from two very thin 1.0-m-long threads.The spheres repel each other after being charged to
and hang at rest as shown.What is the angle θ? (k = 1/4πε0 =

(Multiple Choice)
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What is the minimum magnitude of an electric field that balances the weight of a plastic sphere of mass
that has been charged to 
(Multiple Choice)
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At a distance of 4.3 cm from the center of a very long uniformly charged wire,the electric field has magnitude 2000 N/C and is directed toward the wire.What is the charge on a 1.0 cm length of wire near the center? 
(Multiple Choice)
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The point charge at the bottom of the figure is
,and the curve is a circular arc.What is the magnitude of the force on the charge Q due to the other point charges shown?

(Multiple Choice)
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A 3.0-μC positive point charge is located at the origin and a
positive point charge is located at
Find the coordinates of the point where the net electric field strength due to these charges is zero.
(Multiple Choice)
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An atomic nucleus has a charge of +40e.What is the magnitude of the electric field at a distance of 1.0 m from the center of the nucleus? (k = 1/4πε0 =
, 
(Multiple Choice)
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The electric field 1.5 cm from a very small charged object points toward the object with a magnitude of 180,000 N/C.What is the charge on the object? 
(Multiple Choice)
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A long,thin rod parallel to the y-axis is located at x = -1.0 cm and carries a uniform linear charge density of +1.0 nC/m.A second long,thin rod parallel to the z-axis is located at
and carries a uniform linear charge density of -1.0 nC/m.What is the net electric field due to these rods at the origin? 
(Multiple Choice)
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A small sphere with a mass of 441 g is moving upward along the vertical +y-axis when it encounters an electric field of 5.00 N/C
.If,due to this field,the sphere suddenly acquires a horizontal acceleration of 13.0 m/s2
,what is the charge that it carries?
(Multiple Choice)
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A +7.00 μC point charge and -9.00 μC point charge are placed along the x-axis at x = 0.000 cm and x = 40.0 cm,respectively.Where must a third charge,q,be placed along the x-axis so that it does not experience any net electric force due to the other two charges?
(Multiple Choice)
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Two point charges,Q1 = -1.0 μC and Q2 = + 4.0 μC,are placed as shown in the figure.
The y component of the electric field,at the origin O,is closest to 
(Multiple Choice)
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A point charge Q = -500 nC and two unknown point charges,q1 and q2,are placed as shown in the figure.The electric field at the origin O,due to charges Q,q1 and q2,is equal to zero.The charge q1 is closest to 
(Multiple Choice)
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A point charge Q of mass 8.50 g hangs from the horizontal ceiling by a light 25.0-cm thread.When a horizontal electric field of magnitude 1750 N/C is turned on,the charge hangs away from the vertical as shown in the figure.The magnitude of Q is closest to 
(Multiple Choice)
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In the figure,charge
= 3.1 ×
C is placed at the origin and charge
is placed on the x-axis,at x = -0.20 m.Where along the x-axis can a third charge
be placed such that the resultant force on this third charge is zero? 
(Short Answer)
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Two very large,flat plates are parallel to each other.Plate A,located at y = 1.0 cm,is along the xz-plane and carries a uniform surface charge density -1.00 μC/
.Plate B is located at y = -1.0 cm and carries a uniform surface charge density +2.00 μC/
.What is the electric field vector at the point having x,y,z coordinates (-0.50 cm,0.00 cm,0.00 cm)? 
(Multiple Choice)
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