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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
Summation of the inductive and capacitive coupling coefficients is performed by formula [3] = + +. (8) This formula is derived from the definition (6) and formulas (4) and (7). Note that the sign of the coupling coefficient itself is of no importance. Frequency response of the filter will not change if signs of all the coupling coefficients ...
Mutual inductance occurs when the change in current in one inductor induces a voltage in another nearby inductor. It is important as the mechanism by which transformers work, but it can also cause unwanted coupling between conductors in a circuit. The mutual inductance, , is also a measure of the coupling between two inductors.
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 ...
The formula is easily extended to any number of series coils with mutual coupling. The method can be used to find the self-inductance of large coils of wire of any cross-sectional shape by computing the sum of the mutual inductance of each turn of wire in the coil with every other turn since in such a coil all turns are in series.
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.
The internal component of a round wire's inductance vs. the ratio of skin depth to radius. That component of the self inductance is reduced below μ/8 π as skin depth becomes small (as frequency increases). The ratio AC resistance to DC resistance of a round wire versus the ratio of the wire's radius to the skin depth.
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