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JEE Mains · Physics · STD 12 -6. Electromagnetic induction

Two coils of self inductance \(L _{1}\) and \(L _{2}\) are connected in series combination having mutual inductance of the coils as \(M\). The equivalent self inductance of the combination will be ...............

  1. A \(\frac{1}{ L _{1}}+\frac{1}{ L _{2}}+\frac{1}{ M }\)
  2. B \(L _{1}+ L _{2}+ M\)
  3. C \(L _{1}+ L _{2}+2 M\)
  4. D \(L _{1}+ L _{2}-2 M\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(L _{1}+ L _{2}-2 M\)

Step-by-step Solution

Detailed explanation

Current on both the inductor is in opposite direction. Hence : \(L _{ eq }= L _{1}+ L _{2}-2 M\)
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