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Mutual Induction

Two conductin...

Question

Two conducting circular loops of radii $R_{1} a n d R_{2}$ are placed in the same plane with their centres coinciding. If $R_{1} ≫ R_{2}$ , the mutual inductance M between them will be directly proportional to

\frac{R_{1}}{R_{2}}

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\frac{R_{2}}{R_{1}}

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

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

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Solution

The correct option is D $\frac{R_{2}^{2}}{R_{1}}$
Mutual inductance between two coils in the same plane with their centers coinciding is given by
$M = \frac{μ_{O}}{4 π} (\frac{2 π^{2} R_{2}^{2} N_{1} N_{2}}{R_{1}})$ henry.

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