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themadhatter1
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Homework Statement
A hollow spherical conductor, carrying a net charge +Q, has inner radius r1 and outer r2=2r1 radius (see the figure ). At the center of the sphere is a point charge +Q/2.
A.Write the electric field strength E in all three regions as a function of r: for r>r2,r1<r<r2, and .0<r<r1
B. Determine the potential as a function of r , the distance from the center, for r>r2. Take V=0 at r=∞.
C. Determine the potential as a function of r for r1<r<r2.
D.Determine the potential as a function of r for 0<r<r1.
Homework Equations
v=k(q/r)
u=vq
The Attempt at a Solution
I have solved A and B.
A. [tex]E_{r>r_2}=\frac{1}{4\pi\epsilon_0}(\frac{3Q}{2r^2})[/tex]
[tex]E_{r_1<r<r_2}=0[/tex]
[tex]E_{0<r<r_1}=\frac{1}{4\pi\epsilon_0}(\frac{Q}{2r^2})[/tex]
B. [tex]V=\frac{1}{4\pi\epsilon_0}(\frac{3Q}{2r})[/tex]
I can't figure out how to solve C or D.
For C I think the charge depends on how far into the conductor you want r to be. Since the charge is distributed over the conductor. Can someone guide my thinking?