Find out energy stored in the electric field of uniformly charged thin spherical shell of total charge Q and radius R.

Explanation

We can charge solid sphere to be made of large number of concentric spherical shells. Also electric field intensity at the location of any particular shell is constant.
`:. U_("inside")= int_(0)^(R)1/2 epsi_(0) E^(2) dV`
Consider an elementary shell of thickness dx and radius x.
Volume of the shell `=(4pi x^(2) dx)`
`U_("inside")=int_(0)^(R) 1/2 epsi_(0) [(KQx)/R^(3)]^(2). 4 pix^(2)dx=1/2 epsi_(0) (K^(2)Q^(2) 4 pi)/R^(6) int_(0)^(R) x^(4) dx`
`=(4pi epsi_(0))/(2R^(6)) Q^(2)/((4pi epsi_(0))^(2)). R^(5)/5=Q^(2)/(40 pi epsi_(0) R)=(KQ^(2))/(10 R)`.