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Question: A dipole of electric dipole moment p is placed in a uniform electric field of strength E. If \(\thet...

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\thetais

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 = \overrightarrow{P}.\overrightarrow{E}

U=pEcosθU = - pE\cos\theta

For U to be maximum,

cosθ=1θ=π\cos\theta = - 1 \Rightarrow \theta = \pi