Find the electric potential energy of a unifomly charged then spherical shell.
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Consider a uniformly charged thin spherical shell of radius `R` having a total charge `q_0`. Suppose at some instant a charge `q` is placed on the shell. The potential at the surface is `V=q/(4piepsilon_R)` `:.` The self energy of the shell is `U=int_0^(q_0) V dq` `int_0^(q_0) (q/(4piepsiolon_0R))dq` `=q_0^2/(8piepsilon_0R)`
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