To determine the functional form of that potential energy function, we consider the work done in rotating the dipole from an angle θ1 to an angle θ2 (where the angle is between the...To determine the functional form of that potential energy function, we consider the work done in rotating the dipole from an angle θ1 to an angle θ2 (where the angle is between the dipole and the electric field vectors): W=∫θ2θ1τdθ=∫θ2θ1−pEsinθdθ=−pE∫θ2θ1sinθdθ=pE[cosθ]θ2θ1=pEcosθ2−pEcosθ1 where the neg…