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Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismMagnetic torque & energyHard2 minPYQ_2019

PhysicsHardsingle choice

An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is $a$ and distance of its centre from the wire is $d (d ≫ a) .$ If the loop applies a force $F$ on the wire then:

Options:

Answer:

Solution:

$U = - \vec{P} . \bar{B}$

$F = - \frac{\partial U}{\partial r} = P \frac{d B}{d r}$

$F = i_{2} (π a^{2}) \times \frac{d}{d r} (\frac{μ_{0} i_{1}}{2 π r})$

$F = \frac{i_{1} i_{2} π_{0} a^{2}}{2} \frac{1}{r^{2}}$

$F \propto {(\frac{a}{r})}^{2}$

As $r = d$

$F \propto \frac{a^{2}}{d^{2}}$

Stream:JEESubject:PhysicsTopic:MagnetismSubtopic:Magnetic torque & energy

⏱ 2mℹ️ Source: PYQ_2019

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