Mutual inductance energy storage characteristics

How to calculate mutual inductance?

The mutual inductance can be computed as follows. Using Eq. (9.1.15) of Chapter 9, we see that the magnetic field at the center of the ring due to I1 in the outer coil is given by 2 , we approximate the magnetic field through the entire inner coil by B . independent of the current I in the coil.

What is mutual inductance of two coils?

The Mutual Inductance of two coils is In the ideal case, the mutual inductance is the geometric mean of the self inductances i.e. The potential difference across a coil is: V = V dotted end - V plain end. The energy stored in the magnetic field of an inductor is Joule The energy density of a magnetic field is J.m -3 In LC Oscillations:

What is the difference between mutual inductance and self-inductance?

In conclusion, mutual inductance and self inductance are two distinct phenomena that play important roles in the operation of electrical circuits. While mutual inductance involves the interaction between two coils for energy transfer, self inductance occurs within a single coil for energy storage and filtering.

What is mutual inductance in a transformer?

This phenomenon is the basis for transformers, where two or more coils are placed in close proximity to each other to transfer energy from one circuit to another. The amount of mutual inductance between two coils depends on the number of turns in each coil, the distance between the coils, and the permeability of the medium between them.

What is the self inductance of a magnetic coil?

The self inductance of the coil is (from previous lecture) , This is (ideally) constant inside the volume of the coil and zero outside it. This enables an energy density or energy per unit volume to be calculated. Even though this was derived for a specific ideal case it applies to any magnetic field.

How does a Magnetic Inductor store energy?

The instantaneous power received by the inductor is not dissipated as heat, but stored in a magnetic field in its interior, and the energy can be recovered. This says that the amount of energy stored in the magnetic field depends on the square of the current passing through it.