EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Textbook Question
Chapter 22, Problem 29P
(II) Suppose the nonconducting sphere of Example 22–4 has a spherical cavity of radius r1 centered at the sphere’s center (Fig. 22–32). Assuming the charge Q is distributed uniformly in the “shell” (between r = r1 and r = r0), determine the electric field as a function of r for (a) 0 < r < r1, (b) r1 < r < r0, and (c) r > r0.
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(II) The l/r2 form of Coulomb's law implies the following:
(i) The electric field is zero at all points inside a uniformly
charged shell. (ii) The electric field outside a uniformly
charged sphere can be found by treating the charge as being
concentrated at the center. Use these facts to show that
within a uniformly charged sphere of radius R having a
volume charge density p C/m3, the field strength increases
linearly with the distance r from the center. That is, E ex r
for r < R.
(II) The 1/r² form of Coulomb's law implies the following:
(i) The electric field is zero at all points inside a uniformly
charged shell. (ii) The electric field outside a uniformly
charged sphere can be found by treating the charge as being
concentrated at the center. Use these facts to show that
within a uniformly charged sphere of radius R having a
volume charge density p C/m³, the field strength increases
linearly with the distance r from the center. That is, Ex r
for r < R.
An infinitely long, solid insulating cylinder with radius Ra is placed concentric within a
conducting cylindrical shell of inner radius R₂ and outer radius Re. The inner cylinder has a uniform
volume charge density +lpl, and the outer cylinder has a net linear charge density of -3121.
Assume IpR²l> 132] for all parts.
Chapter 22 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
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