To determine The number of electrons that must be removed. Explanation Write an expression for the magnitude of coulomb’s force. F q = k q 2 r 2 (I) Here, F q is the force of attraction or repulsion between the charged spheres, k is the coulomb’s constant, q is the charge of the electron, and r is the separation distance between the two copper spheres. Write an expression for the magnitude of gravitational force. F g = G m 2 r 2 (II) Here, F g is the gravitational force, G is the gravitational constant, m is the mass of the two spheres, and r is the separation distance between the two spheres. Equate the electric force of repulsion and gravitational for of attraction between the charges. F q = F g (III) Substitute equation (I) and (II) in equation (III) and rearrange to find q . k q 2 r 2 = G m 2 r 2 q = G m 2 k The number of electrons that must be removed from the spheres is. N = q e (IV) Here, e is the charge of an electron and N is the number of electrons that must be removed. Substitute G m 2 k for q in the equation (IV). N = 1 e G m 2 k (V) Conclusion: Substitute 1.602 × 10 − 19 C for e , 6.674 × 10 − 11 N ⋅ m 2 /kg 2 for G , 5

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ISBN: 2818440038631

Author: GIAMBATTISTA

Publisher: MCG

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

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Chapter 16, Problem 14P

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The number of electrons that must be removed.

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Chapter 16 Solutions

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Ch. 16.1 - 16.1 A glass rod and piece of silk are both...Ch. 16.1 - Prob. 16.1PP Ch. 16.2 - Prob. 16.2PP Ch. 16.3 - Prob. 16.3CP Ch. 16.3 - 16.3 Electric Force on a Point Charge Suppose...Ch. 16.3 - 16.4 Three Point Charges Three identical point...Ch. 16.4 - 16.5 Effect of Doubling the Charge on the Hanging...Ch. 16.4 - Practice Problem 16.6 Electric Field at Point P...Ch. 16.4 - Practice Problem 16.7 Electric Field due to Two...Ch. 16.4 - 16.4 What is the direction of the electric field...

Ch. 16.4 - Prob. 16.8PP Ch. 16.5 - Prob. 16.5CP Ch. 16.5 - 16.9 Slowing Some Protons If a beam of protons...Ch. 16.5 - Prob. 16.10PP Ch. 16.6 - Prob. 16.11PP Ch. 16.7 - Prob. 16.12PP Ch. 16.7 - Prob. 16.13PP Ch. 16 - Prob. 1CQ Ch. 16 - Prob. 2CQ Ch. 16 - Prob. 3CQ Ch. 16 - Prob. 4CQ Ch. 16 - Prob. 5CQ Ch. 16 - Prob. 6CQ Ch. 16 - Prob. 7CQ Ch. 16 - Prob. 8CQ Ch. 16 - Prob. 9CQ Ch. 16 - Prob. 10CQ Ch. 16 - Prob. 11CQ Ch. 16 - Prob. 12CQ Ch. 16 - 13. An electroscope consists of a conducting...Ch. 16 - Prob. 14CQ Ch. 16 - Prob. 15CQ Ch. 16 - 16. In some textbooks, the electric field is...Ch. 16 - Prob. 17CQ Ch. 16 - Prob. 18CQ Ch. 16 - Prob. 19CQ Ch. 16 - Prob. 1MCQ Ch. 16 - 2. In electrostatic equilibrium, the excess...Ch. 16 - Prob. 3MCQ Ch. 16 - Prob. 4MCQ Ch. 16 - Prob. 5MCQ Ch. 16 - 6. A tiny charged pellet of mass m is suspended at...Ch. 16 - Prob. 7MCQ Ch. 16 - Prob. 8MCQ Ch. 16 - Prob. 9MCQ Ch. 16 - Prob. 10MCQ Ch. 16 - 1. Find the total positive charge of all the...Ch. 16 - Prob. 2P Ch. 16 - Prob. 3P Ch. 16 - Prob. 4P Ch. 16 - Prob. 5P Ch. 16 - 6. A positively charged rod is brought near two...Ch. 16 - 7. A metal sphere A has charge Q. Two other...Ch. 16 - Prob. 8P Ch. 16 - Prob. 9P Ch. 16 - Prob. 10P Ch. 16 - Prob. 11P Ch. 16 - Prob. 12P Ch. 16 - Prob. 13P Ch. 16 - 14. How many electrons must be removed from each...Ch. 16 - Prob. 15P Ch. 16 - 16. Two metal spheres separated by a distance much...Ch. 16 - 17. In the figure, a third point charge − q is...Ch. 16 - 18. Two point charges are separated by a distance...Ch. 16 - 19. A K+ ion and a Cl− ion are directly across...Ch. 16 - Prob. 20P Ch. 16 - Prob. 21P Ch. 16 - Prob. 22P Ch. 16 - Prob. 23P Ch. 16 - Prob. 24P Ch. 16 - Prob. 25P Ch. 16 - Prob. 26P Ch. 16 - Prob. 27P Ch. 16 - 28. The electric field across a cell membrane is...Ch. 16 - Prob. 29P Ch. 16 - Prob. 30P Ch. 16 - Prob. 31P Ch. 16 - Prob. 32P Ch. 16 - Prob. 33P Ch. 16 - 34. What is the electric field at x = d (point...Ch. 16 - 35. What is the electric field at x = 2d (point S...Ch. 16 - Problems 34–38. Positive point charges q and 2q...Ch. 16 - Problems 34–38. Positive point charges q and 2q...Ch. 16 - Problems 34–38. Positive point charges q and 2q...Ch. 16 - 39. Sketch the electric field lines in the plane...Ch. 16 - 40. Sketch the electric field lines near two...Ch. 16 - 41. Find the electric field at point B, midway...Ch. 16 - 42. Find the electric field at point C, the center...Ch. 16 - Problems 41-44. Two tiny objects with equal...Ch. 16 - 44. Where would you place a third small object...Ch. 16 - Prob. 45P Ch. 16 - 46. Two equal charges (Q = +1.00 nC) are situated...Ch. 16 - 47. Suppose a charge q is placed at point x = 0, y...Ch. 16 - 48. Two point charges, q1 = +20.0 nC and q2 =...Ch. 16 - Prob. 49P Ch. 16 - 50. In each of six situations, a particle (mass m,...Ch. 16 - 51. An electron is placed in a uniform electric...Ch. 16 - 52. An electron is projected horizontally into the...Ch. 16 - 53. A horizontal beam of electrons initially...Ch. 16 - 54. A particle with mass 2.30 g and charge +10.0...Ch. 16 - Problems 54 and 55 55. Consider the same...Ch. 16 - 56. ✦ Some forms of cancer can be treated using...Ch. 16 - Problems 5759. After the electrons in Example 16.9...Ch. 16 - Problems 5759. Alter the electrons in Example 16.9...Ch. 16 - Problems 59-61. A conducting sphere (radius a) is...Ch. 16 - The electric field between plates (A) is zero. As...Ch. 16 - 60. The inner sphere has a net charge of +6 μC and...Ch. 16 - Prob. 62P Ch. 16 - Prob. 64P Ch. 16 - Prob. 63P Ch. 16 - Prob. 65P Ch. 16 - Prob. 66P Ch. 16 - Prob. 67P Ch. 16 - 66. A hollow conducting sphere of radius R carries...Ch. 16 - Prob. 69P Ch. 16 - Prob. 70P Ch. 16 - Prob. 71P Ch. 16 - Prob. 72P Ch. 16 - Prob. 73P Ch. 16 - Prob. 74P Ch. 16 - Prob. 75P Ch. 16 - Prob. 76P Ch. 16 - Prob. 77P Ch. 16 - 76. A thin, flat sheet of charge has a uniform...Ch. 16 - Prob. 79P Ch. 16 - Prob. 80P Ch. 16 - Prob. 81P Ch. 16 - Prob. 82P Ch. 16 - 81. In a thunderstorm, charge is separated through...Ch. 16 - 82. Two otherwise identical conducting spheres...Ch. 16 - 83. Two metal spheres of radius 5.0 cm carry net...Ch. 16 - 84. In the diagram, regions A and C extend far to...Ch. 16 - In Problem 86, the +2.0 C charge is at x = 0 and...Ch. 16 - Prob. 88P Ch. 16 - Prob. 89P Ch. 16 - 88. Consider two protons (charge +e), separated by...Ch. 16 - Prob. 91P Ch. 16 - 90. A raindrop inside a thundercloud has charge...Ch. 16 - 91. An electron beam in an oscilloscope is...Ch. 16 - 92. A point charge q1 = +5.0 μC is fixed in place...Ch. 16 - Prob. 95P Ch. 16 - 94. Object 4 has mass 90.0 g and hangs from an...Ch. 16 - Prob. 97P Ch. 16 - Prob. 98P Ch. 16 - Prob. 99P Ch. 16 - Prob. 100P Ch. 16 - Prob. 101P Ch. 16 - Prob. 102P Ch. 16 - Prob. 104P Ch. 16 - Prob. 103P Ch. 16 - Prob. 106P Ch. 16 - Prob. 105P Ch. 16 - Prob. 108P Ch. 16 - Prob. 107P Ch. 16 - Prob. 110P Ch. 16 - Prob. 111P Ch. 16 - Prob. 112P Ch. 16 - Prob. 113P Ch. 16 - Prob. 114P Ch. 16 - Prob. 115P Ch. 16 - Prob. 109P

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