The mutual inductance also has a relationship with the coupling coefficient.

For the mutual inductance it is not needed.

As the amount of mutual inductance increases, the bandwidth continues to grow.

Also, at such high speeds the inductive properties of the wires come into play, especially mutual inductance.

The mutual inductance, M, is also a measure of the coupling between two inductors.

We shall now go over to the definition of mutual inductance with the aid of Fig. 4.8.

Some canonical forms require mutual inductances for their realisation.

The above equation is for non-interacting inductors; mutual inductance will alter the results.

There are similar definitions for nonlinear mutual inductances.

The mutual inductance is given by eqn (4.57).

The amount of inductive coupling between two conductors is measured by their mutual inductance.

As is the case for mutual inductances,

When two tuned circuits are loosely coupled through mutual inductance, the bandwidth will be narrow.

The mutual inductance is then.

When calculating the mutual inductance we assumed that the magnetic field due to I1 appears instantaneously at the second ring.

Show that the mutual inductance between two arbitrary coils may be written in the form (see Fig. 4.8, p. 100) math;.

Finding only those transforms that do not require mutual inductances or ideal transformers is a more difficult task.

For three coils, there are three mutual inductances , and .

Once the mutual inductance, M, is determined from this factor, it can be used to predict the behavior of a circuit:

The mutual inductance between foil layers is rather large, coupling factor is typically about 0.95-0.99.

Let us determine now the mutual inductance between two coils wound on the same magnetic core (Fig. 4.7(b)).

Eqn (4.57) gives the mutual inductance of two concentric rings a distance h apart from each other.

It can however be realised if mutual inductances and ideal transformers are permitted, for instance, in this circuit.

If the inductors are situated in each other's magnetic fields, this approach is invalid due to mutual inductance.

M is the mutual inductance.