In the figure an electric dipole swings from an initial orientation $)=(20\mathrm{.}6$ to a final orientation $)=(20\mathrm{.}6$ in a uniform external electric field vec$(E).$ The electric dipole moment is $2\mathrm{.}98{10}^{-27}C*m$; the field magnitude is $2\mathrm{.}27{10}^6\frac{N}{C}.$ What is the change in the dipole's potential energy?