Question 266 of 276

Two short magnetic dipoles ${m}_{1}$ and ${m}_{2}$ each having magnetic moment of $1A{m}^{2}$ are placed at point $O$ and $P$ respectively. The distance between $OP$ is $1m$. The torque experienced by the magnetic dipole ${m}_{2}$ due to the presence of ${m}_{1}$ is ________\times {10}^{-7}Nm

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Answer: 1

$\vec{\tau }={\vec{M}}_{2}\times {\vec{B}}_{1}$
$\tau ={M}_{2}{B}_{1}\sin {90}^{^{\circ}}=1\times \dfrac{{\mu }_{0}}{4\pi }\dfrac{M}{(1{)}^{3}}\times 1={10}^{-7}Nm$