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MHT CET202121 Sep 2021Morning ShiftPhysicsElectromagnetic InductionActual

A coil of radius ' r ' is placed on another coil (whose radius is ' R ' and current through it is changing) so that their centers coincide. (R r) . If both are coplanar, then the mutual inductance between them is proportional to

Options

  1. AR r^2
  2. Br R
  3. CR r
  4. Dr^2 R

Correct answer

D. r^2 R

Step-by-step solution

Magnetic field at the center, B= ₀ I R = Magnetic flux passing through the smaller coil = r ^2 ~B aligned & = r^2 ₀ I R & M= I = ₀ r^2 R & M r^2 R aligned

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