## PHYS208 Fundamentals of Physics II

### Answer for Ch. 24, 52P

a) To find the total charge on the sphere, integrate over the charge density with spherical shells, from 0 to R, as shown:

b) Consider a gaussian sphere of radius *r*, centered in the charged sphere. Then the charge enclosed is given by:

*Note the change to the dummy variable **r'* for integration.
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Last updated Sept. 25, 1997.

Copyright George Watson, Univ. of Delaware, 1997.