Question

the electric potential energyof a uniformly charged thin spherical shell of radius R having a total chargeQ is

Answer 1

Uniformly charged thin spherical shell made of non-conducting dielectric material.

   Radius = R       Total charge = Q

Potential energy = 1/2 * Q² / C = 1/2  C V² = 1/2 Q V

Potential at the surface of the charged spherical shell 
      V  = 1/(4πε) * Q/R
   because the total charge enclosed within the closed spherical surface at the outer radius R is Q. This can be obtained by Gauss Law.

    Electrical Potential Energy = U = 1/2 * Q * 1/(4πε) * Q/R
     U = 1/(8πε) * Q² / R

Capacitance of the spherical shell = C = Q/V = (4πε) R