A thick spherical shell has a charge Q, an inner radius a, and an outer radius b. The charge distribution between a and b is spherically symmetric but varies with the distance from the center according to the relation rho=A/r, where A is a positive constant. A point charge +q is placed at the center of the hollow spherical shell. (a) Determine q in terms of Q, a, and b such that the field between a and b (ab?

Question

A thick spherical shell has a charge Q, an inner radius a, and an outer radius b. The charge distribution between a and b is spherically symmetric but varies with the distance from the center according to the relation rho=A/r, where A is a positive constant. A point charge +q is placed at the center of the hollow spherical shell. 

(a) Determine q in terms of Q, a, and b such that the field between a and b (a<r<b) is independent of the radius r.

(b) What is the field for r<a?

(c) What is the field for r>b?

anonymous · Answer

Inside the shell, the field is zero. Gauss's law.

Outside the shell the field is E = Q/4 pi epsilon0 r^2   Gauss's law.

anonymous · Answer

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