Question

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

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.