Physics
Physics
5th Edition
ISBN: 9781260486919
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 16, Problem 45P
To determine

The electric force on the charge placed at origin.

Expert Solution & Answer
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Answer to Problem 45P

The net electric force on the charge at origin is 1.61x^.

Explanation of Solution

The charges are 3.00μC, 5.00μC, and 8.00μC whose positions are given in the figure.

Physics, Chapter 16, Problem 45P

The charges are 3.00μC, 5.00μC and 8.00μC which are kept at a distance 3.0cm.

Write the expression for net electric force experienced by a charge due to two other charges

F=k|q1||q2|r122r^12+k|q1||q3|r132r^13                                                            (I)

Here, F is the net electric force, k is the Coulomb’s constant, q1, q2, q3 are the three point charges, r12 is the distance between q1 and q2, r13 is the distance between q1 and q3, r^12, r^13 are the corresponding direction vectors along the line joining the point charges.

Since q2 is negative with respect to q1, r^12 is in the positive x-direction i.e. x^ whereas q3 is positive with respect to q1, and hence r^13 is in the negative x-direction, x^.

Substitute 8.988×109Nm2C2 for k, 3.00μC for q1, 5.00μC for q2, 8.00μC for q3, 20.0cm for r12, 35.0cm for r13, x^ for r^12 and x^ for r^13 in (I) to F.

F={(8.988×109Nm2C2)(|3.00μC|)(|5.00μC|)(20.0 cm)2(x^)+(8.988×109Nm2C2)(|3.00μC|)(|8.00μC|)(35.0 cm)2(x^)=(8.988×109Nm2C2)(3.00μC)[5.00μC(20.0 cm)28.00μC(35.0 cm)2]=(8.988×109Nm2C2)(3.00μC)[5.00C(20.0 m)28.00C(35.0 m)2]×106104

F=1.61x^

Thus, the net electric force is 1.61x^.

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Chapter 16 Solutions

Physics

Ch. 16.4 - Prob. 16.8PPCh. 16.5 - Prob. 16.5CPCh. 16.5 - 16.9 Slowing Some Protons If a beam of protons...Ch. 16.5 - Prob. 16.10PPCh. 16.6 - Prob. 16.11PPCh. 16.7 - Prob. 16.12PPCh. 16.7 - Prob. 16.13PPCh. 16 - Prob. 1CQCh. 16 - Prob. 2CQCh. 16 - Prob. 3CQCh. 16 - Prob. 4CQCh. 16 - Prob. 5CQCh. 16 - Prob. 6CQCh. 16 - Prob. 7CQCh. 16 - Prob. 8CQCh. 16 - Prob. 9CQCh. 16 - Prob. 10CQCh. 16 - Prob. 11CQCh. 16 - Prob. 12CQCh. 16 - 13. An electroscope consists of a conducting...Ch. 16 - Prob. 14CQCh. 16 - Prob. 15CQCh. 16 - 16. In some textbooks, the electric field is...Ch. 16 - Prob. 17CQCh. 16 - Prob. 18CQCh. 16 - Prob. 19CQCh. 16 - Prob. 1MCQCh. 16 - 2. In electrostatic equilibrium, the excess...Ch. 16 - Prob. 3MCQCh. 16 - Prob. 4MCQCh. 16 - Prob. 5MCQCh. 16 - 6. A tiny charged pellet of mass m is suspended at...Ch. 16 - Prob. 7MCQCh. 16 - Prob. 8MCQCh. 16 - Prob. 9MCQCh. 16 - Prob. 10MCQCh. 16 - 1. Find the total positive charge of all the...Ch. 16 - Prob. 2PCh. 16 - Prob. 3PCh. 16 - Prob. 4PCh. 16 - Prob. 5PCh. 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. 8PCh. 16 - Prob. 9PCh. 16 - Prob. 10PCh. 16 - Prob. 11PCh. 16 - Prob. 12PCh. 16 - Prob. 13PCh. 16 - 14. How many electrons must be removed from each...Ch. 16 - Prob. 15PCh. 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. 20PCh. 16 - Prob. 21PCh. 16 - Prob. 22PCh. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - 28. The electric field across a cell membrane is...Ch. 16 - Prob. 29PCh. 16 - Prob. 30PCh. 16 - Prob. 31PCh. 16 - Prob. 32PCh. 16 - Prob. 33PCh. 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. 45PCh. 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. 49PCh. 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. 62PCh. 16 - Prob. 64PCh. 16 - Prob. 63PCh. 16 - Prob. 65PCh. 16 - Prob. 66PCh. 16 - Prob. 67PCh. 16 - 66. A hollow conducting sphere of radius R carries...Ch. 16 - Prob. 69PCh. 16 - Prob. 70PCh. 16 - Prob. 71PCh. 16 - Prob. 72PCh. 16 - Prob. 73PCh. 16 - Prob. 74PCh. 16 - Prob. 75PCh. 16 - Prob. 76PCh. 16 - Prob. 77PCh. 16 - 76. A thin, flat sheet of charge has a uniform...Ch. 16 - Prob. 79PCh. 16 - Prob. 80PCh. 16 - Prob. 81PCh. 16 - Prob. 82PCh. 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. 88PCh. 16 - Prob. 89PCh. 16 - 88. Consider two protons (charge +e), separated by...Ch. 16 - Prob. 91PCh. 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. 95PCh. 16 - 94. Object 4 has mass 90.0 g and hangs from an...Ch. 16 - Prob. 97PCh. 16 - Prob. 98PCh. 16 - Prob. 99PCh. 16 - Prob. 100PCh. 16 - Prob. 101PCh. 16 - Prob. 102PCh. 16 - Prob. 104PCh. 16 - Prob. 103PCh. 16 - Prob. 106PCh. 16 - Prob. 105PCh. 16 - Prob. 108PCh. 16 - Prob. 107PCh. 16 - Prob. 110PCh. 16 - Prob. 111PCh. 16 - Prob. 112PCh. 16 - Prob. 113PCh. 16 - Prob. 114PCh. 16 - Prob. 115PCh. 16 - Prob. 109P
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