An electric field of $1000\,V/m$ is applied to an electric dipole at angle of $45^o$. The value of electric dipole moment is $10^{-29}\, C.m.$ What is the potential energy of the electric dipole?
JEE MAIN 2019, Medium
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$U = - \vec P \cdot \vec E$
$ = - PE\cos \theta $
$ = - \left( {{{10}^{ - 29}}} \right)\left( {{{10}^3}} \right)\cos {45^\circ }$
$ = - 0.707 \times {10^{ - 26}}\,{\text{J}}$
$ = - 7 \times {10^{ - 27}}\,{\text{J}}$
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