To determine The magnitude and direction of the electric field at the point P due to the charges 1 and 2 located on x -axis. Explanation Given that the charges are q 1 = + 0.040 μC , and q 2 = + 0.010 μC , the charge q 1 is at origin, and charge q 2 is at x = 0.30 m , and the point P is at x = 1.50 m . Since both the charges are positive and the point P is in the right side of both charge, the electric field lines of both charges will be towards right at the point P . The total field is the sum of the field due to the individual charges. Write the expression for the magnitude of electric field due to a point charge. E = 1 4 π ε 0 q r 2 (I) Here, E is the magnitude of electric field, ε 0 is the permittivity of free-space, q is the charge, and r is the distance of separation between the charge and the point. Write the equations for electric field due to charges 1 and 2 corresponding to the equation (I). E 1 = 1 4 π ε 0 q 1 r 1 2 (II) E 2 = 1 4 π ε 0 q 2 r 2 2 (III) Write the expression for the magnitude of the net electric field E net at the point P . E net = E 1 + E 2 (IV) Use equation (II) and (III) in (IV). E net = 1 4 π ε 0 ( q 1 r 1 2 + q 2 r 2 2 ) (V) Conclusion: Substitute 8.854 × 10 − 12 C 2 / ( N ⋅ m 2 ) for ε 0 , + 0.040 μC for q 1 , + 0

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Chapter 16.4, Problem 16.6PP

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The magnitude and direction of the electric field at the point P due to the charges 1 and 2 located on x-axis.

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Chapter 16.4, Problem 16.5PP

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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. 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