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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 ...
Continuous charge distribution. The volume charge density ρ is the amount of charge per unit volume (cube), surface charge density σ is amount per unit surface area (circle) with outward unit normal nĚ‚, d is the dipole moment between two point charges, the volume density of these is the polarization density P.
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 magnetic flux is defined by a surface integral: [12] =, where dA is an element of the surface Σ enclosed by the wire loop, B is the magnetic field. The dot product B · d A corresponds to an infinitesimal amount of magnetic flux.
The henry (symbol: H) is the unit of electrical inductance in the International System of Units (SI). [1] If a current of 1 ampere flowing through a coil produces flux linkage of 1 weber turn, that coil has a self-inductance of 1 henry. The unit is named after Joseph Henry (1797–1878), the American scientist who discovered electromagnetic induction independently of and at about the same ...
However, the relationships between the directions are not explicit; they are hidden in the mathematical formula. A Left Hand Rule for Faraday's Law. The sign of ΔΦ B , the change in flux, is found based on the relationship between the magnetic field B , the area of the loop A , and the normal n to that area, as represented by the fingers of ...
Here , are the inductance and the capacitance of the first circuit, , are the inductance and the capacitance of the second circuit, and , are mutual inductance and mutual capacitance. Formulas (4) and (5) are known for a long time in theory of electrical networks. They represent values of inductive and capacitive coupling coefficients of the ...