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⚛️ Physics  ·  Electromagnetic Induction  ·  NEET & JEE

Mutual inductance M of two coaxial solenoids (inner: n1 turns/m, area A; outer: n2 turns/m, length l):

Answer: mu0 n1 n2 Al.

  • A mu0 n1 n2 Al
  • B mu0 n1 n2 A
  • C mu0 n1 A/n2
  • D mu0 n12 Al

Correct answer: A. mu0 n1 n2 Al

Explanation: M = mu0 n1 n2 A l (for closely wound coaxial solenoids). Flux linkage from inner to outer = n2 l x mu0 n1 I x A.

EMF is Induced Only While Flux is ChangingΦmagnet approachingmagnet stationary inside coilEMFEMF ≠ 0 (flux changing)EMF = 0 (flux constant)t

As a magnet approaches a coil, flux rises steadily and a constant non-zero EMF is induced (Faraday's law). Once the magnet stops moving, flux stays constant and the induced EMF drops to zero - EMF only exists while flux is actively changing.

Concept context

Faraday's and Lenz's laws, motional EMF, self/mutual inductance, eddy currents, and the AC generator - how a changing magnetic flux creates an electric current.

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