The formula for calculating the magnetic coupling coefficient is:
\[ k = \frac{M}{\sqrt{L_1 \cdot L_2}} \]
Where:
The magnetic coupling coefficient, often denoted as \( k \), is a dimensionless parameter that quantifies the degree of magnetic coupling between two inductors. It ranges from 0 to 1, where 0 indicates no coupling and 1 indicates perfect coupling. This coefficient is crucial in transformer design and other applications involving inductive coupling, as it affects the efficiency and performance of the system. The value of \( k \) depends on factors such as the distance between the inductors, their orientation, and the magnetic permeability of the medium between them.
Let's assume the following values:
Using the formula to calculate the magnetic coupling coefficient:
\[ k = \frac{0.5}{\sqrt{2 \cdot 3}} = \frac{0.5}{\sqrt{6}} \approx 0.2041 \]
The magnetic coupling coefficient is approximately 0.2041.