Question 1

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)?

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Question 2

An initially-stationary electric dipole of dipole moment = (5.00 × 10^-10 C • m) placed in an electric field = (2.00 × 10⁶ N/C) + (2.00 × 10⁶ N/C) .What is the magnitude of the maximum torque that the electric field exerts on the dipole?

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Question 3

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?

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Question 4

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.  ,  ,  The distance of closest approach of the electron to plate B is nearest to

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Question 5

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?

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Question 6

A dipole with a positive charge of  and a negative charge of  is centered at the origin and oriented along the x-axis with the positive charge located to the right of the origin.The charge separation is 0.0010 m.Find the electric field due to this dipole at the point

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Question 7

In the figure,a proton is projected horizontally midway between two parallel plates that are separated by  The electrical field due to the plates has magnitude  between the plates away from the edges.If the plates are  long,find the minimum speed of the proton if it just misses the lower plate as it emerges from the field.  ,  ,

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Question 8

An electric dipole is made of two charges of equal magnitudes and opposite signs.The positive charge,q = 1.0 μC,is located at the point (x,y,z)= (0.00 cm,1.0 cm,0.00 cm),while the negative charge is located at the point (x,y,z)= (0.00 cm,-1.0 cm,0.00 cm).How much work will be done by an electric field = (3.0 × 10⁶ N/C) to bring the dipole to its stable equilibrium position?

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Question 9

A 5.0-μC point charge is placed at the 0.00 cm mark of a meter stick and a -4.0-μC point charge is placed at the 50 cm mark.At what point on a line joining the two charges is the electric field due to these charges equal to zero?

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Question 10

An electric field is set up between two parallel plates,each of area 2.0 m²,by putting 1.0 μC of charge on one plate and -1.0 μC of charge on the other.The plates are separated by 4.0 mm with their centers opposite each other,and the charges are distributed uniformly over the surface of the plates.What is the magnitude of the electric field between the plates at a distance of 1.0 mm from the positive plate,but not near the edges of the plates?

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Question 11

The electric field strength in the space between two closely spaced parallel disks is .This field is the result of transferring 3.9 × 10⁹ electrons from one disk to the other.What is the diameter of the disks? (e= 1.60 × 10^-19C,

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Question 12

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.

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Question 13

In the figure,a ring 0.71 m in radius carries a charge of + 580 nC uniformly distributed over it.A point charge Q is placed at the center of the ring.The electric field is equal to zero at field point P,which is on the axis of the ring,and 0.73 m from its center.  The point charge Q is closest to

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Question 14

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

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Question 15

A thin,circular disk of radius 30.0 cm is oriented in the yz-plane with its center at the origin.The disk carries a total charge of +3.00 μC distributed uniformly over its surface.Calculate the magnitude of the electric field due to the disk at the point  along the x-axis.

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Question 16

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?

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Question 17

An electric dipole consists of charges ±5.00 µC separated by 1.20 mm.It is placed in a vertical electric field of magnitude 525 N/C oriented as shown in the figure.The magnitude of the net torque this field exerts on the dipole is closest to

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Question 18

Three equal negative point charges are placed at three of the corners of a square of side d.What is the magnitude of the net electric field at the center of the square?

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Question 19

Two flat 4.0 cm × 4.0 cm electrodes carrying equal but opposite charges are spaced 2.0 mm apart with their midpoints opposite each other.Between the electrodes but not near their edges,the electric field strength is 2.5 × 10⁶ N/C.What is the magnitude of the charge on each electrode?

Accepted Answer

The electric field strength between two parallel plates with equal but opposite charges on each plate is given by:

E = σ/ε0

where σ is the surface charge density and ε0 is the permittivity of free space.

Since the plates are flat and the electric field is uniform between them, we can assume that the charge is uniformly distributed on each plate. Therefore, the surface charge density is given by:

σ = Q/A

where Q is the charge on each plate and A is the area of each plate.

The electric field strength is given as E = 2.5 × 10^16 N/C. Plugging in the given values, we get:

2.5 × 10^16 N/C = Q/(ε0 × 4.0 cm × 2.0 mm)

Solving for Q, we get:

Q = 35 nC

Therefore, each electrode carries a charge of 35 nC, or choice A.

Question 20

Two thin 80.0-cm rods are oriented at right angles to each other.Each rod has one end at the origin of the coordinates,and one of them extends along the +x-axis while the other extends along the +y-axis.The rod along the +x-axis carries a charge of -15.0 µC distributed uniformly along its length,and the other rod carries +15.0 µC uniformly over its length.Find the magnitude and direction of the net electrical force that these two rods exert on an electron located at the point (40.0 cm,40.0 cm).  ,

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Quiz 21: Electric Charge and Electric Field

An initially-stationary electric dipole of dipole moment = (5.00 × 10-10 C • m) placed in an electric field = (2.00 × 106 N/C) + (2.00 × 106 N/C) .What is the magnitude of the maximum torque that the electric field exerts on the dipole?

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?

A dipole with a positive charge of and a negative charge of is centered at the origin and oriented along the x-axis with the positive charge located to the right of the origin.The charge separation is 0.0010 m.Find the electric field due to this dipole at the point

A 5.0-μC point charge is placed at the 0.00 cm mark of a meter stick and a -4.0-μC point charge is placed at the 50 cm mark.At what point on a line joining the two charges is the electric field due to these charges equal to zero?

The electric field strength in the space between two closely spaced parallel disks is .This field is the result of transferring 3.9 × 109 electrons from one disk to the other.What is the diameter of the disks? (e = 1.60 × 10-19 C,

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.

In the figure,a ring 0.71 m in radius carries a charge of + 580 nC uniformly distributed over it.A point charge Q is placed at the center of the ring.The electric field is equal to zero at field point P,which is on the axis of the ring,and 0.73 m from its center. The point charge Q is closest to

A thin,circular disk of radius 30.0 cm is oriented in the yz-plane with its center at the origin.The disk carries a total charge of +3.00 μC distributed uniformly over its surface.Calculate the magnitude of the electric field due to the disk at the point along the x-axis.

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?

An electric dipole consists of charges ±5.00 µC separated by 1.20 mm.It is placed in a vertical electric field of magnitude 525 N/C oriented as shown in the figure.The magnitude of the net torque this field exerts on the dipole is closest to

Three equal negative point charges are placed at three of the corners of a square of side d.What is the magnitude of the net electric field at the center of the square?

Two flat 4.0 cm × 4.0 cm electrodes carrying equal but opposite charges are spaced 2.0 mm apart with their midpoints opposite each other.Between the electrodes but not near their edges,the electric field strength is 2.5 × 106 N/C.What is the magnitude of the charge on each electrode?

An initially-stationary electric dipole of dipole moment = (5.00 × 10^-10 C • m) placed in an electric field = (2.00 × 10⁶ N/C) + (2.00 × 10⁶ N/C) .What is the magnitude of the maximum torque that the electric field exerts on the dipole?

The electric field strength in the space between two closely spaced parallel disks is .This field is the result of transferring 3.9 × 10⁹ electrons from one disk to the other.What is the diameter of the disks? (e= 1.60 × 10^-19C,

Two flat 4.0 cm × 4.0 cm electrodes carrying equal but opposite charges are spaced 2.0 mm apart with their midpoints opposite each other.Between the electrodes but not near their edges,the electric field strength is 2.5 × 10⁶ N/C.What is the magnitude of the charge on each electrode?