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Question

Physics Question on Electric Charge

A dipole of electric dipole moment p is placed in a uniform electric field of strength E. If θ\theta is the angle between positive directions of p and E, then the potential energy of the electric dipole is largest when θ\theta is

A

π4\frac{\pi}{4}

B

π2\frac{\pi}{2}

C

π\pi

D

zero

Answer

π\pi

Explanation

Solution

The potential energy of an electric dipole in a uniform electric field is u=p.Eu=-\vec{p}.\vec{E} u=pEcosθu=-p\, E cos\, \theta For u to be maximum cosθ=1θ=πcos \theta=-1 \Rightarrow \theta=\pi