Q. Two conducting circular loops of radii $R_{1}$ and $R_{2}$ are placed in the same plane with their centres coinciding. If $R_{1} \gg R_{2}$, the mutual inductance $M$ between them will be directly proportional to
A) $R_{1}/R_{2}$
B) $R_{2}/R_{1}$
C) $R_{1}^{2}/R_{2}$
D) $R_{2}^{2}/R_{1}$
Explanation
(d) Mutual inductance between two coil in the same plane with their centers coinciding is given by
$M = \frac{\mu_{0}}{4\pi}\left( \frac{2\pi^{2}R_{2}^{2}N_{1}N_{2}}{R_{1}} \right)henry$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.