Q. 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) $2V$
C) $\frac{V}{2}$
D) $\frac{V}{4}$
Explanation

(d) Magnetic potential at a distance $d$ from the bar magnet on it’s axial line is given by
$V = \frac{\mu_{0}}{4\pi}.\frac{M}{d^{2}} \Rightarrow V \propto M \Rightarrow \frac{V_{1}}{V_{2}} = \frac{M_{1}}{M_{2}}$
$\Rightarrow \frac{V}{V_{2}} = \frac{M}{M/4} \Rightarrow V_{2} = \frac{V}{4}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.