Question

Two coils having self inductances L₁ = 75 mH and L₂ = 55 mH are coupled with each other. The coefficient of coupling (K) is 0. 75. Calculate the mutual inductance (M) of the two coils

Answer 1

Given: L₁ = 75 mH, L₂ = 55 mH, K = 0.75

To find: M =?

Formula: 

${\displaystyle M=K\sqrt{L_1{L}_2}}$

= ${\displaystyle 0.75\sqrt{75\times 75}}$

= ${\displaystyle 0.75\times \sqrt{4125}}$

= 0.75 x 64.23

= 48. 17mH