A helium nucleus is located between the plates of a parallel-plate capacitor as shown. The nucleus has a charge of +2e and a mass of 6.6 × 10-27 kg. What is the magnitude of the electric field such that the electric force exactly balances the weight of the helium nucleus so that it remains stationary?

A) 4.0 × 10-7 N/C B) 6.6 × 10-26 N/C C) 2.0 × 10-7 N/C D) 5.0 × 10-3 N/C E) 1.4 × 10-8 N/C A) 4.0 × 10-7 N/C B) 6.6 × 10-26 N/C C) 2.0 × 10-7 N/C D) 5.0 × 10-3 N/C E) 1.4 × 10-8 N/C

The figure shows a parallel plate capacitor. The surface charge density on each plate is 8.8 × 10S1U1P1-S1S1P0S1U1P18S1S1P0 C/mS1U1P12S1S1P0. The point P is located 1.0 × 10S1U1P1-S1S1P0S1U1P15S1S1P0 m away from the positive plate. -Which one of the following statements concerning the direction of the electric field between the plates is true?

A) It points to the left. B) It points to the right. C) It points toward the negative plate. D) It points toward the positive plate. E) It points up out of the plane of the page. A) It points to the left. B) It points to the right. C) It points toward the negative plate. D) It points toward the positive plate. E) It points up out of the plane of the page.

Exam 18: Electric Forces and Electric Fields

In Frame 1, two identical conducting spheres, A and B, carry equal amounts of excess charge that have the same sign. The spheres are separated by a distance d; and sphere A exerts an electrostatic force on sphere B that has a magnitude F. A third sphere, C, which is handled only by an insulating rod, is introduced in Frame 2. Sphere C is identical to A and B except that it is initially uncharged. Sphere C is touched first to sphere A, in Frame 2, and then to sphere B, in Frame 3, and is finally removed in Frame 4. Determine the magnitude of the electrostatic force that sphere A exerts on sphere B in Frame 4.

(Multiple Choice)

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Question 41

A small sphere of mass 2.5 × 10^-⁵ kg carries a total charge of 6.0 × 10^-⁸ C. The sphere hangs from a silk thread between two large parallel conducting plates. The excess charge on each plate is equal in magnitude, but opposite in sign. If the thread makes an angle of 30° with the positive plate as shown, what is the magnitude of the charge density on each plate?

(Multiple Choice)

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Question 42

Complete the following statement: When a glass rod is rubbed with silk cloth, the rod becomes positively charged as

(Multiple Choice)

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Question 43

Each of three objects has a net charge. Objects A and B attract one another. Objects B and C also attract one another, but objects A and C repel one another. Which one of the following table entries is a possible combination of the signs of the net charges on these three objects?

(Multiple Choice)

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Question 44

What is the electric flux passing through a Gaussian surface that surrounds a +0.075 C point charge?

(Multiple Choice)

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Question 45

At what separation will two charges, each of magnitude 6.0 $\mu$ C, exert a force of 0.70 N on each other?

(Multiple Choice)

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Question 46

Five styrofoam balls are suspended from insulating threads. Several experiments are performed on the balls; and the following observations are made: What are the charges, if any, on each ball?

(Multiple Choice)

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Question 47

Four point charges, each of the same magnitude, with varying signs are arranged at the corners of a square as shown. Which of the arrows labeled A, B, C, and D gives the correct direction of the net force that acts on the charge at the upper right corner?

(Multiple Choice)

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Question 48

A circular loop of wire with a diameter of 0.626 m is rotated in a uniform electric field to a position where the electric flux through the loop is a maximum. At this position, the electric flux is 7.50 × 10⁵ N.m²/C. Determine the magnitude of the electric field.

(Multiple Choice)

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Question 49

An aluminum nail has an excess charge of +3.2 µC. How many electrons must be added to the nail to make it electrically neutral?

(Multiple Choice)

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Question 50

A solid, conducting sphere of radius a carries an excess charge of +6 µC. This sphere is located at the center of a hollow, conducting sphere with an inner radius of b and an outer radius of c as shown. The hollow sphere also carries a total excess charge of +6 µC. -Which one of the following figures shows a qualitatively accurate sketch of the electric field lines in and around this system?

(Multiple Choice)

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Question 51

A helium nucleus is located between the plates of a parallel-plate capacitor as shown. The nucleus has a charge of +2e and a mass of 6.6 × 10^-²⁷kg. What is the magnitude of the electric field such that the electric force exactly balances the weight of the helium nucleus so that it remains stationary?

(Multiple Choice)

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Question 52

Three charges are located along the x axis as shown in the drawing. The mass of the -1.2 µC is 4.0 × 10^-⁹ kg. Determine the magnitude and direction of the acceleration of the -1.2 µC charge when it is allowed to move if the other two charges remain fixed.

(Multiple Choice)

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Question 53

Four point charges are held fixed at the corners of a square as shown in the figure. Which of the five arrows shown below most accurately shows the direction of the net force on the charge -Q due to the presence of the three other charges?

(Multiple Choice)

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Question 54

A -4.0-µC charge is located 0.45 m to the left of a +6.0-µC charge. What is the magnitude and direction of the electrostatic force on the positive charge?

(Multiple Choice)

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Question 55

An electric dipole is released from rest in a uniform electric field with the orientation shown. Which entry in the table below correctly describes the net torque and the net force on the dipole?

(Multiple Choice)

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Question 56

At which point (or points) is the electric field zero N/C for the two point charges shown on the x axis?

(Multiple Choice)

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Question 57

Two identical conducting spheres carry charges of +5.0 $\mu$ C and -1.0 $\mu$ C, respectively. The centers of the spheres are initially separated by a distance L. The two spheres are brought together so that they are in contact. The spheres are then returned to their original separation L. What is the ratio of the magnitude of the electric force on either sphere after the spheres are touched to that before they were touched?

(Multiple Choice)

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Question 58

Determine the ratio of the electrostatic force to the gravitational force between a proton and an electron, F_E/F_G. Note: k = 8.99 × 10⁹ N-m²/C²; G = 6.672 × 10^-¹¹ N-m²/kg²; m_e = 9.109 × 10^-³¹ kg; and m_p = 1.672 × 10^-²⁷ kg.

(Multiple Choice)

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Question 59

The figure shows a parallel plate capacitor. The surface charge density on each plate is 8.8 × 10^-⁸ C/m². The point P is located 1.0 × 10^-⁵ m away from the positive plate. -Which one of the following statements concerning the direction of the electric field between the plates is true?

(Multiple Choice)

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Question 60

Showing 41 - 60 of 61

Exam 18: Electric Forces and Electric Fields

Complete the following statement: When a glass rod is rubbed with silk cloth, the rod becomes positively charged as

Each of three objects has a net charge. Objects A and B attract one another. Objects B and C also attract one another, but objects A and C repel one another. Which one of the following table entries is a possible combination of the signs of the net charges on these three objects?

What is the electric flux passing through a Gaussian surface that surrounds a +0.075 C point charge?

At what separation will two charges, each of magnitude 6.0 μ\muμ C, exert a force of 0.70 N on each other?

Five styrofoam balls are suspended from insulating threads. Several experiments are performed on the balls; and the following observations are made: What are the charges, if any, on each ball?

Four point charges, each of the same magnitude, with varying signs are arranged at the corners of a square as shown. Which of the arrows labeled A, B, C, and D gives the correct direction of the net force that acts on the charge at the upper right corner?

A circular loop of wire with a diameter of 0.626 m is rotated in a uniform electric field to a position where the electric flux through the loop is a maximum. At this position, the electric flux is 7.50 × 105 N.m2/C. Determine the magnitude of the electric field.

An aluminum nail has an excess charge of +3.2 µC. How many electrons must be added to the nail to make it electrically neutral?

Three charges are located along the x axis as shown in the drawing. The mass of the -1.2 µC is 4.0 × 10-9 kg. Determine the magnitude and direction of the acceleration of the -1.2 µC charge when it is allowed to move if the other two charges remain fixed.

Four point charges are held fixed at the corners of a square as shown in the figure. Which of the five arrows shown below most accurately shows the direction of the net force on the charge -Q due to the presence of the three other charges?

A -4.0-µC charge is located 0.45 m to the left of a +6.0-µC charge. What is the magnitude and direction of the electrostatic force on the positive charge?

An electric dipole is released from rest in a uniform electric field with the orientation shown. Which entry in the table below correctly describes the net torque and the net force on the dipole?

At which point (or points) is the electric field zero N/C for the two point charges shown on the x axis?

Determine the ratio of the electrostatic force to the gravitational force between a proton and an electron, FE/FG. Note: k = 8.99 × 109 N-m2/C2; G = 6.672 × 10-11 N-m2/kg2; me = 9.109 × 10-31 kg; and mp = 1.672 × 10-27 kg.

The figure shows a parallel plate capacitor. The surface charge density on each plate is 8.8 × 10-8 C/m2. The point P is located 1.0 × 10-5 m away from the positive plate. -Which one of the following statements concerning the direction of the electric field between the plates is true?

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At what separation will two charges, each of magnitude 6.0 $\mu$ C, exert a force of 0.70 N on each other?

A circular loop of wire with a diameter of 0.626 m is rotated in a uniform electric field to a position where the electric flux through the loop is a maximum. At this position, the electric flux is 7.50 × 10⁵ N.m²/C. Determine the magnitude of the electric field.

Three charges are located along the x axis as shown in the drawing. The mass of the -1.2 µC is 4.0 × 10^-⁹ kg. Determine the magnitude and direction of the acceleration of the -1.2 µC charge when it is allowed to move if the other two charges remain fixed.

Determine the ratio of the electrostatic force to the gravitational force between a proton and an electron, F_E/F_G. Note: k = 8.99 × 10⁹ N-m²/C²; G = 6.672 × 10^-¹¹ N-m²/kg²; m_e = 9.109 × 10^-³¹ kg; and m_p = 1.672 × 10^-²⁷ kg.

The figure shows a parallel plate capacitor. The surface charge density on each plate is 8.8 × 10^-⁸ C/m². The point P is located 1.0 × 10^-⁵ m away from the positive plate. -Which one of the following statements concerning the direction of the electric field between the plates is true?