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4. A hollow very long non-conducting cylindrical shell has inner radius R1 and outer radius R2. A very thin wire with
linear charge density 2; lies at the center of the shell. The shell carries a cylindrically symmetric charge density p = br
for R, <r < R2 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 < R1. You may take the positive direction as outward.
4. E =
5. For the same cylindrical shell as in the previous problem, draw and label a Gaussian surface and use Gauss's Law to
find the radial electric field in the region R, <r < R,. You may take the positive direction as outward. (Hint: I adapted
this problem from #20 in the first online homework assignment. Use your work on that problem to guide your work for this
problem.)

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