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MHT CET202311 May 2023Morning 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 ( ₀= permeability of free space)

Options

  1. A₀ R^2 2 r
  2. B₀ r ^2 2 R
  3. C₀ r^2 R
  4. D₀ R^2 r

Correct answer

B. ₀ r ^2 2 R

Step-by-step solution

Magnetic field, B= ₀ I 2 R Flux passing through the coil, aligned & = B r ^2 & = ₀ I 2 R r ^2 aligned Mutual Inductance, / M = I M= ₀ I 2 R r^2 I = ₀ r^2 2 R

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