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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]
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
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 ...
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.
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.
Coupling coefficient, or coupling factor, may refer to: Electromechanical coupling coefficient; Coupling coefficient (inductors), or coupling factor, between inductances; Coupling coefficient of resonators; Coupling factor of power dividers and directional couplers; Clebsch–Gordan coefficients of angular momentum coupling in quantum mechanics
In CMOS technologies, this is primarily due to coupling capacitance, but in general it may be caused by mutual inductance, substrate coupling, non-ideal gate operation, and other sources. The fixes normally involve changing the sizes of drivers and/or spacing of wires.