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Electric Potential

A question in my book, no explanation given, i cant solve it can anyone help?

A solid conducting sphere carrying charge
q has radius a. It is inside a concentric hollow conducting sphere with inner radius b and outer radius c. The hollow sphere has no net charge. Take V = 0 as r. Use the electric field for this system: E=0 for r is less than equal to a, E=kq/r^{2} for a<r<b, E=0 for b<r<c, E=kq/r^{2} for r>c.
Calculate the potential V at the following values of r;

r = c (at the outer surface of the hollow sphere);

r= b (at the inner surface of the hollow sphere);

r = a (at the surface of the solid sphere);

r = 0 (at the center of the solid sphere).


i got the answer for the first part which is V=q4πϵ0cV=\frac{q}{4\pi\epsilon_{0}c}, however i cant do other parts. Help please, need it for my midterms.

Thank You
This link might help.
Although it deals with the capacitance of such a system, it explains how to find the pd between the inner and outer sphere.

As they have kindly given you the values of E, then isn't V (or delta V) just found by integrating E wrt r between the limits?

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/capsph.html
(edited 10 years ago)

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