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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
The coupling coefficient is the ratio of the open-circuit actual voltage ratio to the ratio that would be obtained if all the flux coupled from one magnetic circuit to the other. The coupling coefficient is related to mutual inductance and self inductances in the following way.
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
Fig. 1 L P σ and L S σ are primary and secondary leakage inductances expressed in terms of inductive coupling coefficient under open-circuited conditions.. The magnetic circuit's flux that does not interlink both windings is the leakage flux corresponding to primary leakage inductance L P σ and secondary leakage inductance L S σ.
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.
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]
k is coupling coefficient; L 1 is primary self-inductance; L 2 is secondary self-inductance; Short-circuit inductance measurement is used in conjunction with open-circuit inductance measurements to obtain various derived quantities like , the inductive coupling factor and , the inductive leakage factor.
The coefficient of coupling k defines how closely the two circuits are coupled and is given by the equation = 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.