Physics
5th Edition
ISBN: 9781260486919
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 16, Problem 76P
(a)
To determine
The magnitude of electric field for
(b)
To determine
Magnitude of electric field for
(c)
To determine
Sketch the graph for
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Positive charge is distributed in a sphere of radius R that is centered at the origin. Inside the sphere, the electric
field is Ē(r) = kr-1/4 f, where k is a positive constant. There is no charge outside the sphere.
a) How is the charge distributed inside the sphere? In particular, find an equation for the charge density, p.
b) Determine the electric field, E(r), for r > R (outside the sphere).
c) What is the potential difference between the center of the sphere (r = 0) and the surface of the sphere
(r = R)?
d) What is the energy stored in this electric charge configuration?
A simple model of a hydrogen atom is a positive point charge +e (representing the proton) at the center of a ring of radius aa with negative charge −e distributed uniformly around the ring (representing the electron in orbit around the proton). Find the magnitude of the total electric field due to this charge distribution at a point a distance aa from the proton and perpendicular to the plane of the ring.
Express your answer in terms of variables e, a, and the electric constant ϵ0.
May you please help by showing me how to calculate for "E". Thanks!
Positive electric charge is uniformly distributed along the y-axis with a linear charge density l.
Consider the case where charge is distributed only between points y = +a and y = -a. For points between the +x-axis, graph the x-component of the electric field as a function of x, Ex (x), for values x = a/2 and x = 4a.
Consider instead the case where charge is distributed along the entire y-axis with the same charge density l. Using the same graph as in part (a), plot the x-component of the electric field, Ex (x), as function of x for values of x between x = a/2 and x = 4a.
Chapter 16 Solutions
Physics
Ch. 16.1 - 16.1 A glass rod and piece of silk are both...Ch. 16.1 - Prob. 16.1PPCh. 16.2 - Prob. 16.2PPCh. 16.3 - Prob. 16.3CPCh. 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. 16.8PPCh. 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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