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Write the Expression for the Torque → τ Acting on a Dipole of Dipole Moment → P Placed in an Electric Field → E .

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Question

Write the expression for the torque \[\vec{\tau}\] acting on a dipole of dipole moment  \[\vec{p}\] placed in an electric field \[\vec{E}\].

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Solution

The torque \[\vec{\tau}\] acting on a dipole of dipole moment \[\vec{p}\] placed in an electric field \[\vec{E}\] is given by

\[\tau^\rightharpoonup = \vec{p} \times E^\rightharpoonup \]

\[\text { or }\]

\[ \tau^\rightharpoonup = pE\sin\theta\]

\[\text { where } \]

\[\theta = \text { Angle between dipole moment and electric field }\]

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2014-2015 (March) Foreign Set 2

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