Electrical Reactance - Inductive Reactance

Inductive reactance is an opposition to the change of current on an inductive element. Inductive reactance is proportional to the sinusoidal signal frequency and the inductance .

The average current flowing in an inductance in series with a sinusoidal AC voltage source of RMS amplitude and frequency is equal to:

The average current flowing in an inductance in series with a square wave AC voltage source of RMS amplitude and frequency is equal to:

making it appear as if the inductive reactance to a square wave was

An inductor consists of a coiled conductor. Faraday's law of electromagnetic induction gives the counter-emf (voltage opposing current) due to a rate-of-change of magnetic flux density through a current loop.

For an inductor consisting of a coil with loops this gives.

The counter-emf is the source of the opposition to current flow. A constant direct current has a zero rate-of-change, and sees an inductor as a short-circuit (it is typically made from a material with a low resistivity). An alternating current has a time-averaged rate-of-change that is proportional to frequency, this causes the increase in inductive reactance with frequency.

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