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lightofthemoon
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Homework Statement
A solid conducting sphere of radius R and carrying charge +q is embedded in an electrically neutral nonconducting spherical shell of inner radius R and outer radius
9 R . The material of which the shell is made has a dielectric constant of 2.0.
Relative to a potential of zero at infinity, what is the potential at the center of the conducting sphere?
Homework Equations
V=kq/r
k=1/4πϵ0
κ=V0/Vd
The Attempt at a Solution
V=kq/R
Potential at center of conducting sphere should be the same as the potential just outside of the sphere
Since the dielectric constant = 2
V0/κ = Vd
I think the answer should be V=kq/2R ?
However I don't think this is the correct answer... I'm not really sure how to use the outer radius in my calculation...