Problem 36P

Consider two concentric spherical shells, of radii a and b. Suppose the inner one carries a charge q, and the outer one a charge −q (both of them uniformly distributed over the surface). Calculate the energy of this configuration, (a) using Eq. 2.45, and (b) using Eq. 2.47 and the results of Ex. 2.9.

Reference equation 2.45

Reference equation 2.47

Reference example 2.9

Find the energy of a uniformly charged spherical shell of total charge q and radius R.

Solution

Step 1 of 4

Consider two concentric spherical shells having radii and and the inner shell carries a charge and the outer shell carries a charge .