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  • Two charges each of magnitude 0.01 C and separated by a distance of 0.4 mm constitute an electric dipole. If the dipole is placed in an uniform electric field ' E ' of 10 dyne/C making 30d

Two charges each of magnitude 0.01 C and separated by a distance of 0.4 mm constitute an electric dipole. If the dipole is placed in an uniform electric field ' E ' of 10 dyne/C making 30° angle with E , the magnitude of torque acting on dipole is

 

Option: 1

1.5 \times 10^{-9} \mathrm{Nm}


Option: 2

2.0 \times 10^{-10} \mathrm{Nm}


Option: 3

1.0 \times 10^{-8} \mathrm{Nm}


Option: 4

4.0 \times 10^{-10} \mathrm{Nm}


Answers (1)

best_answer

Dipole moment, \mathrm{P=qd}

             \begin{aligned} & P=0.01 \times 0.4 \times 10^{-3} \\ & P=4 \times 10^{-6} \mathrm{C}-\mathrm{m} \end{aligned}

Torque,

\begin{aligned} \tau & =\mathrm{pE} \sin \theta \\ \tau & =4 \times 10^{-6} \times\left(10 \times 10^{-5}\right) \times \sin 30^{\circ} \\ \tau & =2 \times 10^{-10} \mathrm{~N}-\mathrm{m} \end{aligned}

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Rishabh

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