Q. At a point on the right bisector of a magnetic dipole magnetic
A) Potential varies as $\frac{1}{r^{2}}$
B) Potential is zero at all points on the right bisector
C) Field varies as $r^{2}$
D) Field is perpendicular to the axis of dipole
Explanation
(a) The magnetic potential due to a magnetic dipole at distance r is
$\ \ \ \ \ \ \ \ V = \frac{\mu_{0}}{4\pi}\frac{M\cos\theta}{r^{2}}$
On the right bisector($ie$, on axial line), $\theta = 0{^\circ}$
$\therefore\ \ \ \ \ v = \frac{\mu_{0}}{4\pi}\frac{M}{r^{2}}$
or $\ \ \ V \propto \frac{1}{r^{2}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.