- #1

lightofthemoon

- 12

- 0

## 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...