Question

Show that the work done in rotating an electric dipole of dipole moment p in a uniform electric field E buy an angle theta from and equilibrium position is W=P.E(1-cos theta)

Answer 1

Electric field will produce a torque on the dipole.

Torque , τ=pEsinθ

The work done in rotating it from an equilibrium position by an angle θ is W=∫

0

θ

τdθ=pE∫

0

θ

sinθdθ=−pE(cosθ−cos0)=pE(1−cosθ)

Answer 2

Answer:

hence shown

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