WBJEE · Physics · Electromagnetic Induction
Two coils of self-inductances \(6 \mathrm{mH}\) and \(8 \mathrm{mH}\) are connected in series and are adjusted for highest coefficient of coupling. Equivalent self-inductance \(L\) for the assembly is approximately
- A \(50 \mathrm{mH}\)
- B \(36 \mathrm{mH}\)
- C \(28 \mathrm{mH}\)
- D \(18 \mathrm{mH}\)
Answer & Solution
Correct Answer
(C) \(28 \mathrm{mH}\)
Step-by-step Solution
Detailed explanation
Given, \(L_{1}=6 \mathrm{mH}=6 \times 10^{-3} \mathrm{H}\) \[ L_{2}=8 \mathrm{mH}=8 \times 10^{-3} \mathrm{H} \] If two coills \(L_{1}\) and \(L_{2}\) are connected in series, the equivalent self-inductance \(L\) for assembly \[ L=L_{1}+L_{2}+2 \sqrt{L_{1} L_{2}} \]…
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