# A conducting sphere of radius a carries a charge 3q (where q > 0). The sphere is surrounded by a con

A conducting sphere of radius a carries a charge 3q (where q > 0). The sphere is surrounded by a concentric conducting spherical shell of inner radius b and outer radius c. The total charge on the shell is also 3q.(a) Describe the distribution of charge on the conducting sphere. (b) What are the charges on the inner and outer surfaces of the shell? Justify your answers. (c) Derive expressions for the electric-field magnitude in terms of the distance r from the center for the regions r < a, a < r < b, b < r < c, r > c. (d) Sketch theelectric field lines in the regions a < r < b and r > c. (e) Graph the electric field magnitude as a function of r.(a) For r < a, Q = 0At r = a, Q = 3qAt r = b, Q = – 3qAt r = c, Q = 3q(b) Charge on inner shell is – 3q and outer shell is 3q. Inner surface has charge due topresence of sphere of charge…

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