A spherical conductor of 9-cm radius is charged to 100 volt potential. Calculate the energy stored in it.

The energy stored in the conductor is 5*10^-8 J.

Explanation:

let v be the potential of the conductor.

let Q be the charge on the conductor.

let k = 9*10^9 be the coulomb constant.

let r be the radius of the conductor.

then, the potential of the conductor is given by:

V = k*Q/r

Q = V*r/k

= [ (100) * (9*10^-2) ] / (9*10^9)

= 1*10^-9 C

then, the energy stored in the conductor is given by:

E = 1/2*Q*V

= 1/2 * (1*10^-9) * (100)

= 5*10^-8 J

Therefore, the energy stored in the conductor is 5*10^-8 J.