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MHT CET · Physics · Electromagnetic Induction

Two coils inductance \(1 \mathrm{H}\) and \(3 \mathrm{H}\) are connected series. Their mutual inductance is \(5 \mathrm{H}\). The self-inductance of the combination is

  1. A \(10 \mathrm{H}\)
  2. B \(28 \mathrm{H}\)
  3. C \(14 \mathrm{H}\)
  4. D \(40 \mathrm{H}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(14 \mathrm{H}\)

Step-by-step Solution

Detailed explanation

For inductors in series:
\(\mathrm{L}=\mathrm{L}_1+\mathrm{L}_2+2 \mathrm{M}=(1+3+2 \times 5) \mathrm{H}=14 \mathrm{H}\)