Question

Two conducting circular loops of radii R₁ and R₂ are placed in the same plane with their centres coinciding. If R₁ >> R₂, the mutual inductance M between them will be directly proportional to :

(1) \(\frac{R_1}{R_2}\) 

(2) \(\frac{R_2}{R_1}\) 

(3) \(\frac{R_1^2}{R_2}\) 

(4) \(\frac{R_2^2}{R_1}\) 

Answer 1

Option : (4) \(\frac{R_2^2}{R_1}\)

M = \(\frac{ϕ_{12}}{I_1}\) = \(\frac{B_1A_2}{I_1}\)