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

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

Solution

Charges $(q)=2 \times 10^{-6} \mathrm{C}$, Distance $(\mathrm{d})$ $=3 \mathrm{~cm}=3 \times 10^{-2} \mathrm{~m}$ and electric field (E) $=2 \times 10^{5} \mathrm{~N} / \mathrm{C}$. Torque $(\tau)=$ q.d.
$\mathrm{E}=\left(2 \times 10^{-6}\right) \times\left(3 \times 10^{-2}\right) \times\left(2 \times 10^{5}\right)$
$=12 \times 10^{-3} \mathrm{~N}-\mathrm{m}$ ~

Asked in: JEE Mains - Electrostatics - Test 5

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