Physics
5th Edition
ISBN: 9781260486919
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 16, Problem 82P
To determine
Derive an expression for the electric field outside the thin spherical shell of conceptual example
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Question 3 of 17
L
X
L
L
T
0.5/
In the figure above, three uniform thin rods, each of length L, form
an inverted U. The vertical rods each have a mass m; the horizontal
rod has a mass 3m.
NOTE: Express your answer in terms of the variables given.
(a) What is the x coordinate of the system's center of mass?
xcom
L
2
(b) What is the y coordinate of the system's center of mass?
Ycom
45
L
X
Q Search
MD
bp
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
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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