Q. The magnetic potential due to a magnetic dipole at a point on its axis distant 40 cm from its center is found to be $2.4 \times 10^{- 5}\ JA^{1}m^{- 1}$.The magnetic moment of the dipole will be

A) 28.6 $Am^{2}$
B) 32.2$\ Am^{2}$
C) 38.4$\ Am^{2}$
D) None of these
Explanation

(c) Here, $r = 40\ cm = 0.4\ m$
$\theta = 0{^\circ}$ (an axial line)
$V = 2.4 \times 10^{- 5}J/A -$m; $M = ?$
As $V = \frac{\mu_{0}}{4\pi}\frac{M\ cos\theta}{r^{2}}$
$2.4 \times 10^{- 5} = 10^{- 7}\frac{M \times 1}{(0.4)^{2}}$
$M = 38.4$ $Am^{2}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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