Exam 20: Electric Fields and Forces

A conductor is placed in a steady external electric field. Which of the following statements are correct for this situation? (There could be more than one correct choice.)

(Multiple Choice)

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Question 81

An electron is projected with an initial velocity v₀ = 8.4 × $10^7$ m/s along the y-axis, which is the centerline between a pair of charged plates, as shown in the figure. The plates are 1.0 m long and are separated by 0.10 m. A uniform electric field of magnitude E in the +x-direction is present between the plates. If the magnitude of the acceleration of the electron is measured to be $8.9 \times 10 ^ { 15 } \mathrm {~m} / \mathrm { s } ^ { 2 }$ what is the magnitude of the electric field between the plates? (e = 1.6 × 10^-19 C, m_electron = 9.11 × 10^-31 kg) $An electron is projected with an initial velocity v0 = 8.4 × 10^7 m/s along the y-axis, which is the centerline between a pair of charged plates, as shown in the figure. The plates are 1.0 m long and are separated by 0.10 m. A uniform electric field of magnitude E in the +x-direction is present between the plates. If the magnitude of the acceleration of the electron is measured to be 8.9 \times 10 ^ { 15 } \mathrm {~m} / \mathrm { s } ^ { 2 } what is the magnitude of the electric field between the plates? (e = 1.6 × 10-19 C, melectron = 9.11 × 10-31 kg)$

(Multiple Choice)

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Question 82

Two point charges each experience a 1-N electrostatic force when they are 2 cm apart. If they are moved to a new separation of 8 cm, what is the magnitude of the electric force on each of them?

(Multiple Choice)

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Question 83

Three equal-magnitude point charges of varying signs are placed at three of the corners of a square of side d as shown in the figure. Which one of the arrows shown represents the direction of the net electric field at the vacant corner of the square?

(Multiple Choice)

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Question 84

Two tiny beads, each of mass 3.2 g, carry equal-magnitude charges. When they are placed 6.4 cm apart and released in outer space, they begin to accelerate toward each other at 538 m/s². What is the magnitude of the charge on each bead? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 85

A negatively-charged plastic rod is brought close to (but does not touch) a neutral metal sphere that is connected to ground. After waiting a few seconds, the ground connection is removed (without touching the sphere), and after that the rod is also removed. The sphere is now

(Multiple Choice)

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Question 86

A +5.0-μC point charge is placed at the 0 cm mark of a meter stick and a -4.0-μC charge is placed at the 50 cm mark. What is the net electric field at the 30 cm mark? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 87

The figure shows electric field lines arising from two small charged particles P and Q. Consider the following two statements: (i) The charge on P is smaller than the charge on Q. (ii) The electrostatic force on P is smaller than the force on Q. Which of the above statements are true?

(Multiple Choice)

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Question 88

Two large closely-spaced parallel metal plates are uniformly and oppositely charged and the electric field between them is 7.6 × 10⁶ N/C. (a) What is the charge per unit area on each plate? (b) If the plates are now moved two times farther apart, what is the electric field between the plates?

(Short Answer)

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Question 89

What is the charge on 1.0 kg of protons? (e = 1.60 × 10^-19 C, m_proton = 1.67 × 10^-27 kg)

(Multiple Choice)

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Question 90

Three equal charges +Q are at three of the corners of a square of side d. A fourth charge +Q of equal magnitude is at the center of the square as shown in the figure Which one of the arrows shown represents the net force acting on the charge at the center of the square?

(Multiple Choice)

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Question 91

A small object with a 5.0-μC charge is accelerating horizontally on a friction-free surface at 0.0050 m/s2 due only to an electric field. If the object has a mass of 2.0 g, what is the magnitude of the electric field?

(Multiple Choice)

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Question 92

Two uncharged metal spheres, #1 and #2, are mounted on insulating support rods. A third metal sphere, carrying a positive charge, is then placed near #2. Now a copper wire is momentarily connected between #1 and #2 and then removed. Finally, sphere #3 is removed. In this final state

(Multiple Choice)

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Question 93

An electric dipole consists of charges of ±6.00 µC that are 10.0 cm apart, as shown in the figure. Find the magnitude and direction of the electric field this dipole produces at point P, which is 7.00 cm from each charge. (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

(Essay)

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Question 94

Two tiny particles carrying like charges of the same magnitude are $1.0 \mathrm {~mm}$ apart. If the electric force on one of them is $5.0 \mathrm {~N} \text {, }$ what is the magnitude of the charge on each of these particles?(k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

(Multiple Choice)

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Question 95

Showing 81 - 95 of 95

Exam 20: Electric Fields and Forces

A conductor is placed in a steady external electric field. Which of the following statements are correct for this situation? (There could be more than one correct choice.)

Two point charges each experience a 1-N electrostatic force when they are 2 cm apart. If they are moved to a new separation of 8 cm, what is the magnitude of the electric force on each of them?

Three equal-magnitude point charges of varying signs are placed at three of the corners of a square of side d as shown in the figure. Which one of the arrows shown represents the direction of the net electric field at the vacant corner of the square?

Two tiny beads, each of mass 3.2 g, carry equal-magnitude charges. When they are placed 6.4 cm apart and released in outer space, they begin to accelerate toward each other at 538 m/s2. What is the magnitude of the charge on each bead? (k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

A negatively-charged plastic rod is brought close to (but does not touch) a neutral metal sphere that is connected to ground. After waiting a few seconds, the ground connection is removed (without touching the sphere), and after that the rod is also removed. The sphere is now

A +5.0-μC point charge is placed at the 0 cm mark of a meter stick and a -4.0-μC charge is placed at the 50 cm mark. What is the net electric field at the 30 cm mark? (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

The figure shows electric field lines arising from two small charged particles P and Q. Consider the following two statements: (i) The charge on P is smaller than the charge on Q. (ii) The electrostatic force on P is smaller than the force on Q. Which of the above statements are true?

Two large closely-spaced parallel metal plates are uniformly and oppositely charged and the electric field between them is 7.6 × 106 N/C. (a) What is the charge per unit area on each plate? (b) If the plates are now moved two times farther apart, what is the electric field between the plates?

What is the charge on 1.0 kg of protons? (e = 1.60 × 10-19 C, mproton = 1.67 × 10-27 kg)

Three equal charges +Q are at three of the corners of a square of side d. A fourth charge +Q of equal magnitude is at the center of the square as shown in the figure Which one of the arrows shown represents the net force acting on the charge at the center of the square?

A small object with a 5.0-μC charge is accelerating horizontally on a friction-free surface at 0.0050 m/s2 due only to an electric field. If the object has a mass of 2.0 g, what is the magnitude of the electric field?

Two uncharged metal spheres, #1 and #2, are mounted on insulating support rods. A third metal sphere, carrying a positive charge, is then placed near #2. Now a copper wire is momentarily connected between #1 and #2 and then removed. Finally, sphere #3 is removed. In this final state

An electric dipole consists of charges of ±6.00 µC that are 10.0 cm apart, as shown in the figure. Find the magnitude and direction of the electric field this dipole produces at point P, which is 7.00 cm from each charge. (k = 1/4πε0 = 8.99 × 109 N ∙ m2/C2)

Two tiny particles carrying like charges of the same magnitude are 1.0 mm1.0 \mathrm {~mm}1.0 mm apart. If the electric force on one of them is 5.0 N, 5.0 \mathrm {~N} \text {, }5.0 N, what is the magnitude of the charge on each of these particles?(k = 1/4πε0 = 9.0 × 109 N ∙ m2/C2)

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Two tiny beads, each of mass 3.2 g, carry equal-magnitude charges. When they are placed 6.4 cm apart and released in outer space, they begin to accelerate toward each other at 538 m/s². What is the magnitude of the charge on each bead? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)

A +5.0-μC point charge is placed at the 0 cm mark of a meter stick and a -4.0-μC charge is placed at the 50 cm mark. What is the net electric field at the 30 cm mark? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

Two large closely-spaced parallel metal plates are uniformly and oppositely charged and the electric field between them is 7.6 × 10⁶ N/C. (a) What is the charge per unit area on each plate? (b) If the plates are now moved two times farther apart, what is the electric field between the plates?

What is the charge on 1.0 kg of protons? (e = 1.60 × 10^-19 C, m_proton = 1.67 × 10^-27 kg)

An electric dipole consists of charges of ±6.00 µC that are 10.0 cm apart, as shown in the figure. Find the magnitude and direction of the electric field this dipole produces at point P, which is 7.00 cm from each charge. (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

Two tiny particles carrying like charges of the same magnitude are $1.0 \mathrm {~mm}$ apart. If the electric force on one of them is $5.0 \mathrm {~N} \text {, }$ what is the magnitude of the charge on each of these particles?(k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²)