Two concentric and coplanar coils have radii a and b (>>a) as shown in figure. Resistance…

Physics · JEE Advanced · NTA Exams — Electromagnetic Induction and Alternating Currents

Two concentric and coplanar coils have radii a and b (>>a) as shown in figure. Resistance of the inner coil is R. Current in the outer coil is increased from 0 to i, then the total charge circulating the inner coil is

1. \(\frac{\mu_{0} \pi \mathrm{ia}^{2}}{2 \mathrm{Rb}}\)
2. \(\frac{\mu_{0} \mathrm{iab}}{2 \mathrm{R}}\)
3. \(\frac{\mu_{0} \mathrm{iab}}{2 \mathrm{a}} \frac{\pi \mathrm{~b}^{2}}{\mathrm{R}}\)
4. \(\frac{\mu_{0} \mathrm{ib}}{2 \pi \mathrm{R}}\)

Answer

(A) _ 0 ia ^ 2 2 Rb

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