A hollow very long non-conducting cylindrical shell has inner radius R1 and outer radius R2. A very thin wire with linear charge density l¡ lies at the center of the shell. The shell carries a cylindrically symmetric charge density p = br for R,

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A hollow very long non-conducting cylindrical shell has inner radius R1 and outer radius R2. A very thin wire with
linear charge density 1; lies at the center of the shell. The shell carries a cylindrically symmetric charge density p = br
for R, <r < R, that increases linearly with radius (but doesn't change along the length), where b is a constant of
proportionality. Draw and label a Gaussian surface and use Gauss's Law to find the radial electric field in the region
r < Rq. You may take the positive direction as outward.
4.
G
Transcribed Image Text:A hollow very long non-conducting cylindrical shell has inner radius R1 and outer radius R2. A very thin wire with linear charge density 1; lies at the center of the shell. The shell carries a cylindrically symmetric charge density p = br for R, <r < R, that increases linearly with radius (but doesn't change along the length), where b is a constant of proportionality. Draw and label a Gaussian surface and use Gauss's Law to find the radial electric field in the region r < Rq. You may take the positive direction as outward. 4. G
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