Explanation The charge of the tiny sphere is + 7.0 nC , the coulomb constant is 8.988 × 10 9 Nm 2 / C 2 , the charges placed below the sphere is − 4.0 μC , the distance from the sphere attached to the spring and charges is 8.0 cm and the distance between two charges form the central line of the sphere is 2.0 cm and the distance stretched by the spring is 0.50 mm . In this case the two components of forces due to the two tiny charges would have downward direction and is compensate with the restoring force on the spring or on the sphere. Refer the given figure below. Write the equilibrium condition of forces in vertical direction. − k ′ y = − 2 k Q q r 2 cos θ . (I) Here, k ′ is the spring constant, k is the coulomb constant, r is the distance from the sphere to the tiny charges, Q is the charge of the tiny sphere attached to the spring, q is the charges placed below. Write the expression for the cos θ from the figure. cos θ = b r . (II) Rewrite the equation (I) using (II) in terms of k ′ . k ′ = − 2 k Q q b y r 3 Write the expression to calculate r . r = a 2 + b 2 Rewrite the equation for k ′ in terms of r . k ′ = − 2 k Q q b y ( a 2 + b 2 ) 3 Substitute + 7.0 nC for Q , 8.988 × 10 9 Nm 2 / C 2 for k , − 4.0 μC for q , 8.0 cm for b , 2.0 cm for a and 0.50 mm for a in the above equation to calculate k ′

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ISBN: 2818440038631

Author: GIAMBATTISTA

Publisher: MCG

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Chapter 16, Problem 108P

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Chapter 16, Problem 105P

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Chapter 16 Solutions

PHYSICS

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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