Question

derive an expression for the energy stored in a dipole in a uniform electric field​

Answer 1

The potential energy of an electric dipole in the electric field is zero .In non uniform field electric dipole experience torque as well as a net force. ...

Answer 2

Small work done in rotating a dipole through a small angle dθ is

dW = Tdθ..........(here T is torque)

dW = pEsinθdθ

Now total work done in rotating a dipole from θ1 to θ2 is

W = int.(pEsinθdθ)

[ upper limit = θ2, lower limit = θ1]

after integration,

W = pE(cosθ1–cosθ2)

This is the energy stored in the dipole...