Potential energy of a system of charges is directly proportional to the product of charges and inversely to the distance between them.Prove the above statement.

Potential energy of a system of charges is directly proportional to the product of charges and inversely to the distance between them.Two point charges 3 x 10^(-8) C and - 2 x 10^(-8) C are separated by a distance of 15cm. At what point on the line joining the charges the potential is zero?

Prove that the elastic potential energy density of a stretched wire is half the product of stress and strain.

What is the force of repulsion if each sphere charged double the above the amount and the distance between them is halved ?

In simple harmonic motion, force is directly proportional to the displacement for the mean position. Derive equations for the Kinetic and potential energies of a harmonic oscillator.

Potential difference is a field property. Potential energy is the interaction energy of charge configuration:- If they are not the same, then define them.