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Q. In a uniform electric field the maximum torque acting on an electric dipole is $\tau$.
Question

NTA AbhyasNTA Abhyas 2020

Solution:

$\overset{ \rightarrow }{\tau}=\overset{ \rightarrow }{P}\times \overset{ \rightarrow }{E}$
$\left|\right.\overset{ \rightarrow }{\tau}\left|\right.=\left|\right.\overset{ \rightarrow }{P}\left|\right.\left|\right.\overset{ \rightarrow }{E}\left|\right.sin\theta $
$\left|\right.\overset{ \rightarrow }{\tau}\left|\right._{m a x}=\left|\right.\overset{ \rightarrow }{P}\left|\right.\left|\right.\overset{ \rightarrow }{E}\left|\right.=qaE$