Hi

As per your question When the electrical dipole is placed during a field in equilibrium position is

displaced by small angle θ, then it executes S.H.M thanks to restoring couple

C=−p∈sinθ

θ≈ small

C=−p∈θ C=Iα=I dt 2 d 2 θ

I dt 2d r θ =−p∈θdt 2d 2 θ

=− Ip∈ θdt 2d 2 θ

=−w 2 θ

standard equation of SHM

w= Ip∈

V= 2πw = 2π1p∈ I

Hope helpful.