You MUST SHOW ALL work, equation, steps so that I can follow. show all math that

Question

You MUST SHOW ALL work, equation, steps so that I can follow. show all math that you did.

A solid sphere of radius a is surrounded by a conducting spherical shell of inner radius b and outer radius c. The solid sphere has a net charge q1 = -2q uniformly distributed throughout its volume. The conducting shell has a net charge q2 = +3q. What is the charge on the inner surface of the shell? What is the charge on the outer surface of the shell? Find electric field using Gauss' law and express it as a function of r. between the solid sphere and the shell in region II (a

Explanation / Answer

a) +2q

b) +q

c) at a<r<b

q_enclosed = -2*q


according to Gauss's law

electric flux thorough cloded surface = q_enclosed/epsilon


E*4*pi*r^2 = 2*q/epsilon


E = 2*q/(4*pi*epsilon*r^2)

E = k*2q/r^2 (radially inward)

d) here q_enclosed = 0

so, E = 0

e) q_enclosed = -2q+3q = q

E*4*pi*r^2 = q/epsilon

E = q/(4*pi*epsilon*r^2)

E = k*q/r^2 (radially outward)

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