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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 ...
where () and () are the voltage across and the current through the Josephson junction, and is a parameter of the junction named the critical current. Equation (1) is called the first Josephson relation or weak-link current-phase relation , and equation (2) is called the second Josephson relation or superconducting phase evolution equation .
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.
In the above equation is equal to + and equals the reduced inductance. The separation of variables technique yields two equations, one for the "CM" coordinate that is the differential equation of a free particle, and the other for the charge difference coordinate, which is the Schrödinger equation for a harmonic oscillator.