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JEE Main 202226 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
26 June
Shift
Evening Shift
Subject
Physics
Chapter
Electromagnetic Induction

JEE Main 2022 · 26 June · Evening Shift · Physics · Electromagnetic Induction

Two coils of self inductance L _ 1 and L _ 2 are connected in...

Two coils of self inductance L1{L}_{1} and L2{L}_{2} are connected in series combination having mutual inductance of the coils as MM. The equivalent self inductance of the combination will be

Two coils of self inductance L _ 1 and L _ 2 are connected in series combination having mutual inductance of the coils

Options

  1. A1L1+1L2+1M\dfrac{1}{{L}_{1}} + \dfrac{1}{{L}_{2}} + \dfrac{1}{M}
  2. BL1+L2−2M{L}_{1} + {L}_{2} - 2M
  3. CL1+L2+M{L}_{1} + {L}_{2} + M
  4. DL1+L2+2M{L}_{1} + {L}_{2} + 2M

Correct answer

B. L1+L2−2M{L}_{1} + {L}_{2} - 2M

Step-by-step solution

Two coils of self inductance L _ 1 and L _ 2 are connected in series combination having mutual inductance of the coils

Here self inductances are in series but their mutual inductances are linked oppositely.

As the inductors connected are in series opposition, hence magnetic flux will be opposing each other. Therefore,

Leq=L1+L2−2M{L}_{eq} = {L}_{1} + {L}_{2} - 2M

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