Can someone help me solve this problem? The Figure above illustrates a conductin

Question

Can someone help me solve this problem? The Figure above illustrates a conducting rod of radius R_1 and length L inside a thin-walled coaxial conducting cylindrical shell of radius R_2 = 8R_1. The net charge on the rod is Q_1 and the net charge on the shell is Q_2 = 2Q_1. Determine expressions for: A) the magnitude of the electric field at the radial position r = 4R_1: B) the magnitude of the electric field at the radial position r = 2R_2: C) the charge on the inner surface of the shell: and D) the charge on the exterior surface of the shell.

Explanation / Answer

partA] Electric field E = kQ1/r^2 = kQ1/(16R1^2)

partB] Electric field E = k Qenclosed/r^2 = | k*[Q1-2Q1]/4R2^2 |= kQ1/(256r1^2)

PartC] the charge on inner surface of shell = negative of what is stored inside the shell = -Q

partD] charge on outer surface = -2Q - (-Q) = -Q

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