Potential Energy of 2 Spherical Shells

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Homework Statement



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

Homework 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

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?

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