JEE Main 202126 AugustMorning Shift

Exam: JEE Main
Year: 2021
Date: 26 August
Shift: Morning Shift
Subject: Physics
Chapter: Magnetic Effects of Current

JEE Main 2021 · 26 August · Morning Shift · Physics · Magnetic Effects of Current

Two short magnetic dipoles m _ 1 and m _ 2 each having magnetic...

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 $________ \times {10}^{- 7}Nm$

Two short magnetic dipoles m _ 1 and m _ 2 each having magnetic moment of 1A m ^ 2 are placed at point O and P

Correct answer

Step-by-step solution

Two short magnetic dipoles m _ 1 and m _ 2 each having magnetic moment of 1A m ^ 2 are placed at point O and P

$\overset{\to}{τ} = \overset{\to}{M}2 \times \overset{\to}{B}1$

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

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