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>>Dipole in a Uniform Magnetic Field
>> $The magnetic potential at a point on the$

Question

The magnetic potential at a point on the axial line of a bar magnet of dipole moment $M$ is $V .$ What is the magnetic potential due to a bar magnet of dipole moment $\frac{M}{4}$ at the same point

A

$4 V$

B

$2 V$

C

$\frac{V}{2}$

D

$\frac{V}{4}$

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Updated on : 2022-09-05

Solution

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Correct option is D)

Magnetic potential at a distance $d$ from the bar magnet on it's axial line is given by

$V = \frac{μ _{0}}{4 π} . \frac{M}{d ^{2}} \Rightarrow V \propto M \Rightarrow \frac{V _{1}}{V _{2}} = \frac{M _{1}}{M _{2}}$

$\Rightarrow \frac{V}{V _{2}} = \frac{M}{M / 4} \Rightarrow V_{2} = \frac{V}{4}$

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