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

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

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

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

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

answer is D.

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Detailed Solution

Mutual inductance between two coils in the same plane with their centers coinciding is given by $M = \frac{μ_{0}}{4 π} (\frac{2 π^{2} R_{2}^{2} N_{1} N_{2}}{R_{1}}) henry$

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