Concept explainers
An infinite cylinder of radius R has a linear charge density
The volume charge density (C/m3) within the cylinder (r
a. Draw a graph of
perpendicular to the cylinder axis. Let x range from -2R to 2R.
b. The charge within a small volume dV is
of
within the cylinder. Use this fact to show that
Hint: Let dV be a cylindrical shell of length L, radius r, and thick-
ness dr. What is the volume of such a shell?
c. Use Gauss's law to find an expression for the electric field
strength E inside the cylinder, r
d. Does your expression have the expected value at the surface,
r = R? Explain.
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Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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