MHT-CET Physics and Chemistry Full Test-6 PHY-Que-38 Solution

Q.38. Two conducting circular loops of radii ‘R₁‘ and ‘R₂‘ are placed in the same plane with their centres coinciding. If R₁>R₂, the mutual inductance M between them will be directly proportional to

A. \frac{R_{1}}{R_{2}}

B. \frac{R_{2}}{R_{1}}

C. \frac{R_{1}^{2}}{R_{2}}

D. \frac{R_{2}^{2}}{R_{1}}

Answer :- D. \frac{R_{2}^{2}}{R_{1}}

Explanation :-

Mutual inductance of two concentric coplanar circular coils,

M=\frac{\mu {o}\pi N{1}N_{2}R_{2}^{2}}{2R_{1}}

Therefore, M\propto \frac{R_{2}^{2}}{R_{1}}