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

A) 2.00 × 10-3 N ∙ m B) 1.40 × 10-3 N ∙ m C) 2.80 × 10-3 N ∙ m D) 0.00 N ∙ m E) 1.00 × 10-3 N ∙ m A) 2.00 × 10-3 N ∙ m B) 1.40 × 10-3 N ∙ m C) 2.80 × 10-3 N ∙ m D) 0.00 N ∙ m E) 1.00 × 10-3 N ∙ m

Exam 20: Electric Charge and Electric Field

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 +91 nC and hang at rest as shown. What is the angle θ? (k = 1/4πε0 = 8.99 × 10⁹ N ∙ m²/C²)

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Question 1

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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?

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Question 2

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The point charge at the bottom of the figure is Q = +17 nC, 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? (k = 1/4πε0 = 8.99 × 10⁹ N ∙ m²/C²)

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Question 3

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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?

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Question 4

An electron is initially moving to the right when it enters a uniform electric field directed upwards. Which trajectory shown below will the electron follow?

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Question 5

Two point charges Q1 and Q2 of equal magnitudes and opposite signs are positioned as shown in the figure. Which of the arrows best represents the net electric field at point P due to these two charges?

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Question 6

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

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Question 7

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 x = 15.0 cm along the x-axis. (ε0 = 8.85 × 10^-12 C²/N ∙ m²)

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Question 8

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? (ε0 = 8.85 × 10^-12 C²/N ∙ m²)

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Question 9

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? (ε0 = 8.85 × 10^-12 C²/N ∙ m²)

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Question 10

A small glass bead has been charged to 8.0 nC. What is the magnitude of the electric field 2.0 cm from the center of the bead? (k = 1/4πε0 = 8.99 × 10₉ N ∙ m²/C²)

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Question 11

In the figure, charge q₁ = 3.1 × 10^-6 C is placed at the origin and charge q₂= -8.7 × 10^-6 C is placed on the x-axis, at x = -0.20 m. Where along the x-axis can a third charge Q = -8.3 µC be placed such that the resultant force on this third charge is zero?

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Question 12

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

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Question 13

A point charge Q is located a short distance from a point charge 3Q, and no other charges are present. If the electrical force on Q is F, what is the electrical force on 3Q?

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Question 14

Two identical small conducting spheres are separated by 0.60 m. The spheres carry different amounts of charge and each sphere experiences an attractive electric force of 10.8N. The total charge on the two spheres is -24 μC. The two spheres are now connected by a slender conducting wire, which is then removed. The electric force on each sphere is closest to

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Question 15

The figure shows three electric charges labeled Q₁, Q₂, Q₃, and some electric field lines in the region surrounding the charges. What are the signs of the three charges?

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Question 16

Three point charges are placed on the x-axis. A charge of +2.0 μC is placed at the origin, -2.0 μC to the right at x = 50 cm, and +4.0 μC at the 100 cm mark. What are the magnitude and direction of the electrostatic force that acts on the charge at the origin? (k = 1/4πε0 = 8.99 × 10⁹ N ∙ m²/C²)

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Question 17

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? (k = 1/4πε0 = 8.99 × 10⁹ N ∙ m²/C²)

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Question 18

Two very large parallel sheets a distance d apart have their centers directly opposite each other. The sheets carry equal but opposite uniform surface charge densities. A point charge that is placed near the middle of the sheets a distance d/2 from each of them feels an electrical force F due to the sheets. If this charge is now moved closer to one of the sheets so that it is a distance d/4 from that sheet, what force will feel?

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Question 19

Four equal negative point charges are located at the corners of a square, their positions in the xy-plane being (1, 1), (-1, 1), (-1, -1), (1, -1). The electric field on the x-axis at (1, 0) points in the same direction as

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Question 20

Showing 1 - 20 of 58

Exam 20: Electric Charge and Electric Field

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 +91 nC and hang at rest as shown. What is the angle θ? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

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?

The point charge at the bottom of the figure is Q = +17 nC, 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? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

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?

An electron is initially moving to the right when it enters a uniform electric field directed upwards. Which trajectory shown below will the electron follow?

Two point charges Q1 and Q2 of equal magnitudes and opposite signs are positioned as shown in the figure. Which of the arrows best represents the net electric field at point P due to these two charges?

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

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? (ε0 = 8.85 × 10-12 C2/N ∙ m2)

A small glass bead has been charged to 8.0 nC. What is the magnitude of the electric field 2.0 cm from the center of the bead? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

In the figure, charge q1 = 3.1 × 10-6 C is placed at the origin and charge q2 = -8.7 × 10-6 C is placed on the x-axis, at x = -0.20 m. Where along the x-axis can a third charge Q = -8.3 µC be placed such that the resultant force on this third charge is zero?

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

A point charge Q is located a short distance from a point charge 3Q, and no other charges are present. If the electrical force on Q is F, what is the electrical force on 3Q?

The figure shows three electric charges labeled Q1, Q2, Q3, and some electric field lines in the region surrounding the charges. What are the signs of the three charges?

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? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Four equal negative point charges are located at the corners of a square, their positions in the xy-plane being (1, 1), (-1, 1), (-1, -1), (1, -1). The electric field on the x-axis at (1, 0) points in the same direction as

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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 +91 nC and hang at rest as shown. What is the angle θ? (k = 1/4πε0 = 8.99 × 10⁹ N ∙ m²/C²)

The point charge at the bottom of the figure is Q = +17 nC, 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? (k = 1/4πε0 = 8.99 × 10⁹ N ∙ m²/C²)

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? (ε0 = 8.85 × 10^-12 C²/N ∙ m²)

A small glass bead has been charged to 8.0 nC. What is the magnitude of the electric field 2.0 cm from the center of the bead? (k = 1/4πε0 = 8.99 × 10₉ N ∙ m²/C²)

In the figure, charge q₁ = 3.1 × 10^-6 C is placed at the origin and charge q₂= -8.7 × 10^-6 C is placed on the x-axis, at x = -0.20 m. Where along the x-axis can a third charge Q = -8.3 µC be placed such that the resultant force on this third charge is zero?

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

The figure shows three electric charges labeled Q₁, Q₂, Q₃, and some electric field lines in the region surrounding the charges. What are the signs of the three charges?

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? (k = 1/4πε0 = 8.99 × 10⁹ N ∙ m²/C²)