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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.
k is the coupling coefficient, Le1 and Le2 is the leakage inductance, M1 (M2) is the mutual inductance. An inductively coupled transponder consists of a solid state transceiver chip connected to a large coil that functions as an antenna. When brought within the oscillating magnetic field of a reader unit, the transceiver is powered up by energy ...
Crosstalk – Signals in one channel affecting another; Faraday paradox – Apparent paradox with Faraday's law of induction; Fleming's right-hand rule – Mnemonic for the direction of induced current in a moving magnetic field; Hall effect – Electromagnetic effect in physics; Inductance; Moving magnet and conductor problem
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 inductance considered in this context refers to a bare conductor, not the inductance of a coil used as a circuit element. The inductance of a coil is dominated by the mutual inductance between the turns of the coil which increases its inductance according to the square of the number of turns.
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]
Faraday's experiment showing induction between coils of wire: The liquid battery (right) provides a current which flows through the small coil (A), creating a magnetic field.
Without the leakage inductance, the negative resistance characteristic of these gas discharge lamps would cause them to conduct excessive current and be destroyed. Transformers with variable leakage inductance are used to control the current in arc welding sets. In these cases, the leakage inductance limits the current flow to the desired ...