find electric potential energy of an electric dipole moment placed in uniform electric field
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Potential energy of dipole in uniform electric field.
τ=p×E
work done in rotating dipole by small angle
dw=τdθ
=−pεsinθdθ
The change in potential energy
dU=−dW=pEsinθdθ
If θ→90o to θo
U(θ)−U(90o)=∫90o0oPεsinθdθ
=Pε[−cosθ]900
=−P.E
So
U(θ)=−P.E
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