Potential Energy of 2 Spherical Shells

Tags:
1. Oct 29, 2014

1. The problem statement, all variables and given/known data

Find the energy required to assemble two uniform hollow spheres of charge q between radii a and b with a volume charge density roh-v. The shells are separated by a distance c.

*description of picture* - two identical spherical shells with inner radius a and outer radius b separated by a distance c

2. Relevant equations

dQ = 4*pi*roh-v*R dR^2 <--- "add incremental rings of charge dQ in order to assemble a hollow sphere of charge"

Q of one sphere = roh-v*pi*R^3

dW = V dQ

3. The attempt at a solution

I know how to do this problem with one solid sphere. I am unsure of how the second sphere and the distance c changes the problem.

Do I find the potential to assemble one sphere and then double it (for the second sphere) and then multiply it by the potential of the two sphere configuration?

2. Oct 30, 2014

Orodruin

Staff Emeritus
Why don't you try doing that and see how it goes?