To determine The work done in bringing a third charge from infinite to the point a given in the figure. Explanation The charges are + 8.00 nC, − 8.00 nC and +2 .00 nC and the distances between the charges are given in the figure. Write the expression for work done by the electric field W f i e l d = − Δ U Here, W f i e l d is the work done by the electric field, Δ U is the change in potential energy Substitute for Δ U in the above expression W f i e l d = U i − U f (I) Here, U f is the final electric potential energy and U i is the initial electric potential energy Write the expression for final electric potential energy for three charges U f = k [ q 1 q 2 r 12 + q 2 q 3 r 23 + q 3 q 1 r 31 ] (II) Here, q 1 , q 2 , q 3 are the three charges, r 12 is the distance between q 1 and q 2 , r 23 is the distance between q 2 and q 3 , r 31 is the distance between q 3 and q 1 , U f is the final electric potential energy and k is a constant. Initially only the first two charges are there and the third charge is moved from infinity to the point a given in the figure. Write the expression for initial electric potential energy for two charges U i = k [ q 1 q 2 r 12 ] (III) Here, U i is the initial electric potential energy

3rd Edition

ISBN: 9780073512150

Author: Alan Giambattista, Betty Richardson, Robert C. Richardson Dr.

Publisher: McGraw-Hill Education

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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 17, Problem 12P

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The work done in bringing a third charge from infinite to the point a given in the figure.

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Chapter 17 Solutions

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Ch. 17.1 - 17.1 Two Point Charges with Like Signs Two point...Ch. 17.1 - Prob. 17.1CP Ch. 17.1 - Prob. 17.2PP Ch. 17.2 - Prob. 17.2CP Ch. 17.2 - Prob. 17.3PP Ch. 17.2 - Prob. 17.4PP Ch. 17.2 - Prob. 17.5PP Ch. 17.2 - Prob. 17.6PP Ch. 17.3 - Conceptual Practice Problem 17.7 Equipotential...Ch. 17.3 - Prob. 17.3CP

Ch. 17.4 - Prob. 17.8PP Ch. 17.5 - Prob. 17.5CP Ch. 17.5 - Prob. 17.9PP Ch. 17.6 - Prob. 17.6CP Ch. 17.6 - Prob. 17.10PP Ch. 17.6 - Prob. 17.11PP Ch. 17.7 - Practice Problem 17.12 Charge and Stored Energy...Ch. 17 - Prob. 1CQ Ch. 17 - 2. Dry air breaks down for a voltage of about 3000...Ch. 17 - 3. A bird is perched on a high-voltage power line...Ch. 17 - 4. A positive charge is initially at rest in an...Ch. 17 - 5. Points A and B are at the same potential. What...Ch. 17 - Prob. 6CQ Ch. 17 - 7. Why are all parts of a conductor at the same...Ch. 17 - Prob. 8CQ Ch. 17 - Prob. 9CQ Ch. 17 - Prob. 10CQ Ch. 17 - Prob. 11CQ Ch. 17 - Prob. 12CQ Ch. 17 - Prob. 13CQ Ch. 17 - Prob. 14CQ Ch. 17 - Prob. 15CQ Ch. 17 - Prob. 16CQ Ch. 17 - Prob. 17CQ Ch. 17 - Prob. 18CQ Ch. 17 - Prob. 19CQ Ch. 17 - Prob. 20CQ Ch. 17 - Prob. 21CQ Ch. 17 - Prob. 22CQ Ch. 17 - Prob. 1MCQ Ch. 17 - Prob. 2MCQ Ch. 17 - Prob. 3MCQ Ch. 17 - Prob. 4MCQ Ch. 17 - Prob. 5MCQ Ch. 17 - Prob. 6MCQ Ch. 17 - Prob. 7MCQ Ch. 17 - Prob. 8MCQ Ch. 17 - Prob. 9MCQ Ch. 17 - Prob. 10MCQ Ch. 17 - Prob. 11MCQ Ch. 17 - Prob. 12MCQ Ch. 17 - 1. In each of five situations, two point charges...Ch. 17 - 2. Two point charges, +5.0 μC and −2.0 μC, are...Ch. 17 - 3. A hydrogen atom has a single proton at its...Ch. 17 - 4. How much work is done by an applied force that...Ch. 17 - 5. The nucleus of a helium atom contains two...Ch. 17 - 6. Three point charges are located at the corners...Ch. 17 - Problems 7-10. Two point charges ( + 10.0 nC and −...Ch. 17 - Problems 7-10. Two point charges ( + 10.0 nC and −...Ch. 17 - Problems 7-10. Two point charges ( + 10.0 nC and −...Ch. 17 - Problems 7–10. Two point charges ( +10.0 nC and...Ch. 17 - 11. Find the electric potential energy for the...Ch. 17 - 12. In the diagram, how much work is done by the...Ch. 17 - 13. In the diagram, how much work is done by the...Ch. 17 - Prob. 14P Ch. 17 - Prob. 15P Ch. 17 - 16. A point charge q = + 3.0 nC moves through a...Ch. 17 - 17. An electron is moved from point A, where the...Ch. 17 - 18. Find the electric field and the potential at...Ch. 17 - Prob. 19P Ch. 17 - 20. A charge of + 2.0 mC is located at x = 0, y =...Ch. 17 - 21. The electric potential at a distance of 20.0...Ch. 17 - 22. A spherical conductor with a radius of 75.0 cm...Ch. 17 - 23. A hollow metal sphere carries a charge of 6.0...Ch. 17 - 24. An array of four charges is arranged along the...Ch. 17 - 25. At a point P, a distance R0 from a positive...Ch. 17 - 26. Charges of + 2.0 nC and − 1.0 nC are located...Ch. 17 - Prob. 27P Ch. 17 - 28. (a) Find the potential at points a and b in...Ch. 17 - 29. (a) In the diagram, what are the potentials at...Ch. 17 - 30. (a) In the diagram, what are the potentials at...Ch. 17 - Prob. 31P Ch. 17 - 32. By rewriting each unit in terms of kilograms,...Ch. 17 - 33. Rank points A–E in order of the potential,...Ch. 17 - Prob. 34P Ch. 17 - Prob. 35P Ch. 17 - Prob. 36P Ch. 17 - Prob. 37P Ch. 17 - Prob. 38P Ch. 17 - Prob. 39P Ch. 17 - Prob. 40P Ch. 17 - Prob. 41P Ch. 17 - Prob. 42P Ch. 17 - 43. A positive point charge is located at the...Ch. 17 - Prob. 44P Ch. 17 - Prob. 45P Ch. 17 - 46. Point P is at a potential of 500.0 kV, and...Ch. 17 - 47. An electron is accelerated from rest through a...Ch. 17 - 48. As an electron moves through a region of...Ch. 17 - Prob. 49P Ch. 17 - 50. An electron beam is deflected upward through...Ch. 17 - 51. In the electron gun of Example 17.8, if the...Ch. 17 - 52. In the electron gun of Example 17.8, if the...Ch. 17 - 53. An electron (charge −e) is projected...Ch. 17 - 54. An alpha particle (charge +2e) moves through a...Ch. 17 - 55. In 1911, Ernest Rutherford discovered the...Ch. 17 - 56. The figure shows a graph of electric potential...Ch. 17 - 57. Repeat Problem 56 for an electron rather than...Ch. 17 - 58. A 2.0 μE capacitor is connected to a 9.0 V...Ch. 17 - 59. The plates of a 15.0 μE capacitor have net...Ch. 17 - 60. If a capacitor has a capacitance of 10.2 μE...Ch. 17 - 61. A parallel plate capacitor has a capacitance...Ch. 17 - 62. A parallel plate capacitor has plates of area...Ch. 17 - 63. A parallel plate capacitor has plates of area...Ch. 17 - Prob. 64P Ch. 17 - Prob. 65P Ch. 17 - Prob. 66P Ch. 17 - Prob. 67P Ch. 17 - Prob. 68P Ch. 17 - Prob. 69P Ch. 17 - Prob. 70P Ch. 17 - Prob. 71P Ch. 17 - Prob. 72P Ch. 17 - Prob. 73P Ch. 17 - Prob. 74P Ch. 17 - Prob. 75P Ch. 17 - Prob. 76P Ch. 17 - Prob. 77P Ch. 17 - 78. What is the maximum electric energy density...Ch. 17 - Prob. 79P Ch. 17 - Prob. 80P Ch. 17 - Prob. 81P Ch. 17 - Prob. 82P Ch. 17 - Prob. 83P Ch. 17 - 84. A parallel plate capacitor is composed of two...Ch. 17 - Prob. 85P Ch. 17 - 86. A parallel plate capacitor has a charge of...Ch. 17 - Prob. 87P Ch. 17 - Prob. 88P Ch. 17 - Prob. 89P Ch. 17 - Prob. 90P Ch. 17 - Prob. 91P Ch. 17 - Prob. 92P Ch. 17 - Prob. 93P Ch. 17 - Prob. 94P Ch. 17 - Prob. 95P Ch. 17 - Prob. 96P Ch. 17 - Prob. 97P Ch. 17 - Prob. 98P Ch. 17 - Prob. 99P Ch. 17 - Prob. 100P Ch. 17 - Prob. 101P Ch. 17 - Prob. 102P Ch. 17 - Prob. 103P Ch. 17 - Prob. 104P Ch. 17 - Prob. 105P Ch. 17 - 106. ✦ The potential difference across a cell...Ch. 17 - Prob. 107P Ch. 17 - Prob. 108P Ch. 17 - Prob. 109P Ch. 17 - Prob. 110P Ch. 17 - Prob. 111P Ch. 17 - Prob. 112P Ch. 17 - Prob. 113P Ch. 17 - Prob. 114P Ch. 17 - Prob. 115P Ch. 17 - Prob. 116P Ch. 17 - Prob. 117P Ch. 17 - Prob. 118P Ch. 17 - Prob. 119P Ch. 17 - Prob. 120P Ch. 17 - Prob. 121P

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