A conducting shell of inner radius A and outer radius B contains a total electri

Question

A conducting shell of inner radius A and outer radius B contains a total electrical charge of Q. At its center is a negative point charge -2Q as shown at right.

a) What is the electrical field at a distance r from the center of the shell when r<a?

b) When a<r<b?

c) When r>b?

d) What is the charge on the inner surface of the shell?

e) On the outer surface?

f) Plot a graph of the field strenght as a funchtion of r.

Please answer all, including the graph! With thourough explanations. Thanks in advance!!

A conducting shell of inner radius A and outer radius B contains a total electrical charge of Q. At its center is a negative point charge -2Q as shown at right. What is the electrical field at a distance r from the center of the shell when r

Explanation / Answer

You've got
dQ/dV = ?

In other words a infinitesimal segment dV caries the charge
dQ = ? dV

Let dV be a spherical shell between between r and (r + dr):
dV = (4?/3)

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