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Coupling may be intentional or unintentional. Unintentional inductive coupling can cause signals from one circuit to be induced into a nearby circuit, this is called cross-talk, and is a form of electromagnetic interference. k is the coupling coefficient, Le1 and Le2 is the leakage inductance, M1 (M2) is the mutual inductance
As the amount of mutual inductance increases, the bandwidth continues to grow. When the mutual inductance is increased beyond the critical coupling, the peak in the frequency response curve splits into two peaks, and as the coupling is increased the two peaks move further apart. This is known as overcoupling.
Because the coupling coefficient is a function of both the mutual inductance and capacitance, it can also be expressed in terms of the vector fields and . Hong proposed that the coupling coefficient is the sum of the normalized overlap integrals [14] [15]
where M is the mutual inductance of the circuits and L p and L s are the inductances of the primary and secondary circuits, respectively. If the flux lines of the primary inductor thread every line of the secondary one, then the coefficient of coupling is 1 and M = L p L s {\textstyle M={\sqrt {L_{p}L_{s}}}} In practice, however, there is of ...
Each coil inductance can be notionally divided into two parts in the proportions k:(1−k). These are respectively an inductance producing the mutual flux and an inductance producing the leakage flux. Coupling coefficient is a function of the geometry of the system. It is fixed by the positional relationship between the two coils.
There is a critical value of transformer coupling coefficient at which the frequency response of the amplifier is maximally flat in the passband and the gain is maximum at the resonant frequency. Designs frequently use a coupling greater than this (over-coupling) in order to achieve an even wider bandwidth at the expense of a small loss of gain ...
The four EMI coupling modes. When a source emits interference, it follows a route to the victim known as the coupling path. There are four basic coupling mechanisms: conductive, capacitive, magnetic or inductive, and radiative. Any coupling path can be broken down into one or more of these coupling mechanisms working together.
The negative inductance cannot be implemented directly with passive components. However, the "tee" of inductors can be converted into mutually coupled inductors which absorbs the negative inductance. [80] With a coupling coefficient of unity (tightly coupled) the mutual inductance, , in the example case is 2.0.