Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismProperties of magnetMedium2 minPYQ_2014

PhysicsMediumsingle choice

The mid points of two small magnetic dipoles of length $d$ in end-on positions, are separated by a distance $x$ $(x ≫ d)$ . The magnitude of force between them is proportional to $x^{- n}$ where $n$ is :

Options:

Answer:

Solution:

$B = \frac{μ_{o}}{4 π} \frac{2 M}{x^{3}}$ for end-on position

$U = - \vec{M} . \vec{B}$

$= \frac{μ o}{4 π} \frac{2 M^{2}}{x^{3}}$

$F = - \frac{d U}{d x} = \frac{- 3 μ o}{4 π} \frac{2 M^{2}}{x^{4}}$

therefore force between them $\propto x^{- 4}$

Stream:JEESubject:PhysicsTopic:MagnetismSubtopic:Properties of magnet

⏱ 2mℹ️ Source: PYQ_2014

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