Question

If mutual inductance M=3H, L1=4H, L2=9H, will the coupling coefficient be equal?

Answer 1

The coefficient of coupling, denoted by k, is a dimensionless quantity that represents the degree of coupling between two inductors in a circuit. It is related to the mutual inductance (M) and the individual inductances (L1 and L2) by the formula:

 $k=\frac{M}{\sqrt{(L1\times L2)}}$ Using the given values: M = 3H L1 = 4H L2 = 9H

We can substitute these values into the formula to find the coefficient of coupling:

 $k=\frac{3}{\sqrt(4\times9)}$ $=\frac{3}{\sqrt 36}$ $=\frac{3}{6}$ = 0.5

 Therefore, the coefficient of coupling (k) is equal to 0.5.