An electric dipole consisting of two opposite charges of $2 \times 10^{-6} \mathrm{C}$ separated by a…

An electric dipole consisting of two opposite charges of $2 \times 10^{-6} \mathrm{C}$ separated by a distance of $3 \mathrm{~cm}$ placed in an electric field of $2 \times 10^5 \mathrm{~N} / \mathrm{C}$ then the maximum torque acting on dipole is
  1. $12 \times 10^{-1} \mathrm{~N}-\mathrm{m}$
  2. $24 \times 10^{-3} \mathrm{~N}-\mathrm{m}$
  3. $12 \times 10^{-3} \mathrm{~N}-\mathrm{m}$
  4. $24 \times 10^{-1} \mathrm{~N}-\mathrm{m}$

Solution

$\begin{aligned} & \text { Dipole moment } \mathrm{p}=\mathrm{q} \times 2 \mathrm{l}=2 \times 10^{-6} \times 3 \times 10^{-2} \\ & =6 \times 10^{-8} \mathrm{Cm} \\ & \therefore \quad \tau_{\max }=\rho E \sin \theta=\mathrm{pEsin} 90^{\circ} \\ & =6 \times 10^{-8} \times 2 \times 10^5 \times 1 \\ & =12 \times 10^{-3} \mathrm{Nm}\end{aligned}$ ~

Asked in: MHT CET 2023 (10 May Shift 1)

Practice more Electrostatics questions on Aicharya