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  • An electric dipole consisting of two opposite charges of <img alt="2 \times 10^{-6} \mathrm{C}" src="https://entrancecorner.oncodecogs.com/gif.latex?2%20%5Ctimes%2010%5E%7B-6%7D%20%5Cmathrm%7BC%7D"

An electric dipole consisting of two opposite charges of 2 \times 10^{-6} \mathrm{C} each separated by a distance of 3 \mathrm{~cm} is placed in an electric field of 2 \times 10^5 \mathrm{~N} / \mathrm{C}. The maximum torque on the dipole will be -

Option: 1

12 \times 10^{-1} \mathrm{Nm}


Option: 2

12 \times 10^{-3} \mathrm{Nm}


Option: 3

24 \times 10^{-1} \mathrm{Nm}


Option: 4

24 \times 10^{-3} \mathrm{Nm}


Answers (1)

best_answer

Torque is given by the relation -

\mathrm{\begin{aligned} \vec{\tau} & =\vec{P} \times \vec{E} \\ \tau & =P E \sin \theta \\ \tau_{\max } & =P E \quad \quad[\because \theta=\pi / 2] \\ & =2 \times 10^{-6} \times 3 \times 10^{-2} \times 2 \times 10^5 \\ & =12 \times 10^{-3} \mathrm{Nm} \text { Ans } \end{aligned} }

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Divya Prakash Singh

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