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 (\( L_1 \) and \( L_2 \)) by the formula:

\[ k = \frac{M}{\sqrt{L_1 \times L_2}} \]

Using the given values: \( M = 3 \, \text{H} \), \( L_1 = 4 \, \text{H} \), and \( L_2 = 9 \, \text{H} \), we can substitute these values into the formula:

\[ k = \frac{3}{\sqrt{4 \times 9}} \]

Next, simplify the expression:

\[ k = \frac{3}{\sqrt{36}} = \frac{3}{6} = 0.5 \]

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