Two concentric spherical shells of radius `R_(1)` and `R_(2) (R_(2) gt R_(1))` are having uniformly distributed charges `Q_(1)` and `Q_(2)` respectively. Find out total energy of the system.

Explanation

Net electric field `=E_(1)+E_(2)`
`E_(1)=` field due to sphere of radius `R_(1)`
`E_(2)=` field due of sphere of radius `R_(2)`
(i) `E_(1)=0, E_(2)=0" ":. E_("net")=0`
(ii) `E_(1)=(KQ)/r^(2), E_(2)=0" "implies vec(E)=(Kq)/r^(2) hat(r)`
(iii) `vec(E)_(1) =(kq)/r^(2) hat(r) vec(E)_(2)=(Kq)/r^(2) (-hat(r))" "implies vec(E)_("net")=vec(E)_(1)+vec(E)_(2)=0`