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MHT CET202014 Oct 2020Morning ShiftPhysicsElectromagnetic InductionActual

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

Options

  1. Ar R
  2. BR r
  3. CR r²
  4. Dr² R

Correct answer

D. r² R

Step-by-step solution

Magnetic field at the centre B = _ o I R = Magnetic flux passing through the smaller coil = r² B = r² ₀ I R M= I = r² R M r² R

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