Magnetic complex reluctance

Magnetic complex reluctance (SI Unit: H−1) is a measurement of a passive magnetic circuit (or element within that circuit) dependent on sinusoidal magnetomotive force (SI Unit: At·Wb−1) and sinusoidal magnetic flux (SI Unit: T·m2), and this is determined by deriving the ratio of their complex effective amplitudes.[Ref. 1-3] Z μ = N ˙ Φ ˙ = N ˙ m Φ ˙ m = z μ e j ϕ {\displaystyle Z_{\mu }={\frac {\dot {N}}{\dot {\Phi }}}={\frac {{\dot {N}}_{m}}{{\dot {\Phi }}_{m}}}=z_{\mu }e^{j\phi }} As seen above, magnetic complex reluctance is a phasor represented as uppercase Z mu where: N ˙ {\displaystyle {\dot {N}}} and N ˙ m {\displaystyle {\dot {N}}_{m}} represent the magnetomotive force (complex effective amplitude) Φ ˙ {\displaystyle {\dot {\Phi }}} and Φ ˙ m {\displaystyle {\dot {\Phi }}_{m}} represent the magnetic flux (complex effective amplitude) z μ {\displaystyle z_{\mu }} , lowercase z mu, is the real part of magnetic complex reluctance The "lossless" magnetic reluctance, lowercase z mu, is equal to the absolute value (modulus) of the magnetic complex reluctance.

Source: Wikipedia — Magnetic complex reluctance (CC BY-SA 4.0)

Magnetic complex reluctance

Magnetic complex reluctance (SI Unit: H−1) is a measurement of a passive magnetic circuit (or element within that circuit) dependent on sinusoidal magnetomotive force (SI Unit: At·Wb−1) and sinusoidal magnetic flux (SI Unit: T·m2), and this is determined by deriving the ratio of their complex effective amplitudes.[Ref. 1-3] Z μ = N ˙ Φ ˙ = N ˙ m Φ ˙ m = z μ e j ϕ {\displaystyle Z_{\mu }={\frac {\dot {N}}{\dot {\Phi }}}={\frac {{\dot {N}}_{m}}{{\dot {\Phi }}_{m}}}=z_{\mu }e^{j\phi }} As seen above, magnetic complex reluctance is a phasor represented as uppercase Z mu where: N ˙ {\displaystyle {\dot {N}}} and N ˙ m {\displaystyle {\dot {N}}_{m}} represent the magnetomotive force (complex effective amplitude) Φ ˙ {\displaystyle {\dot {\Phi }}} and Φ ˙ m {\displaystyle {\dot {\Phi }}_{m}} represent the magnetic flux (complex effective amplitude) z μ {\displaystyle z_{\mu }} , lowercase z mu, is the real part of magnetic complex reluctance The "lossless" magnetic reluctance, lowercase z mu, is equal to the absolute value (modulus) of the magnetic complex reluctance.

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Source: Wikipedia "Magnetic complex reluctance" · CC BY-SA 4.0

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