To calculate the mutual inductance in a coupled inductor circuit, you'll need to use the physical properties of the inductors and the geometry of their arrangement. Mutual inductance occurs when the magnetic field generated by one inductor links with the other inductor, inducing a voltage in the second inductor.
The formula for calculating mutual inductance (M) is:
M = (N2 * Φ21) / I1
Where:
M is the mutual inductance between the two inductors.
N2 is the number of turns in the second inductor.
Φ21 is the magnetic flux linkage from the first inductor to the second inductor. This value depends on the geometry and distance between the inductors.
I1 is the current flowing through the first inductor.
To explain further, here's a step-by-step guide to calculate mutual inductance:
Determine the number of turns (N2) in the second inductor.
Calculate the magnetic flux linkage (Φ21) from the first inductor to the second inductor. This involves finding the magnetic flux (Φ) generated by the first inductor that passes through the core or the winding of the second inductor.
Measure or calculate the current (I1) flowing through the first inductor.
Use the formula mentioned above to find the mutual inductance (M) between the two inductors.
Keep in mind that the units used in this formula may vary depending on the system of units you are using (e.g., Henrys, Amperes, etc.).
In practical applications, mutual inductance can be utilized to design transformers, inductively coupled circuits, and other devices where energy transfer through magnetic fields is essential.