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JEE Main 2022 (26 Jun, Shift 2) · Combination of Inductors, LR & LC Circuits

Combination of Inductors, LR & LC Circuits question from JEE Main 2022 (26 Jun, Shift 2)

Q23JEE Main 2022 · 26 JUN · SHIFT 2Medium

Combination of Inductors, LR & LC Circuits

Two coils of self inductance L1 and L2 are connected in series combination having mutual inductance of the coils as M. The equivalent self inductance of the combination will be:

Figure

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Answer: (d)

  1. In the figure the current flows through the two coils in opposite senses, so their mutual fluxes oppose the self fluxes.
  2. Total emf: e=−(L1−M)dIdt−(L2−M)dIdte = -(L_1 - M)\frac{dI}{dt} - (L_2 - M)\frac{dI}{dt}
  3. Leq=L1+L2−2ML_{eq} = L_1 + L_2 - 2M
  4. So the answer is (d).
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