Reactance is the imaginary
part of electrical impedance, a measure of opposition
to a sinusoidal
alternating current. Reactance arises from the
presence of inductance
and capacitance
within a circuit, and is denoted by the symbol X, the SI unit is the ohm.
Both reactance X and resistance R
are required to determine the impedance ;
although in some circumstances the reactance may dominate the impedance, at
least an approximate knowledge of the resistance is required to establish this.
Both the magnitude and the phase
of
the impedance depend on both the resistance and the reactance.
The magnitude is the ratio of the
voltage and current amplitudes,
while the phase is the voltage–current phase difference.
Determining the voltage-current
relationship requires knowledge of both the resistance and the reactance. The
reactance on its own gives only limited physical information about an
electrical component or network:
There are certain specific quantities
that depend on the reactance alone, for example; resonance in an RLC circuit
occurs when the reactive impedances ZC and ZL
cancel. This means that the impedance has a phase of zero (a specific example
of the third point above).
Capacitive reactance Xc is inversely proportional to the signal frequency and the capacitance C .
A capacitor consists of two conductors separated by an insulator, also known as a dielectric.
At low frequencies a capacitor is
open
circuit, as no current flows in the dielectric. A DC
voltage applied across a capacitor causes charge
to accumulate on one side, the electric
field due to the accumulated charge is the source of the opposition to the
flow of current. When the potential associated with the charge exactly balances the
applied voltage, the current goes to zero.
Driven by an AC supply a
capacitor will only accumulate a limited amount of charge before the potential
difference changes sign and the charge dissipates. The higher the frequency,
the less charge will accumulate and the smaller the opposition to the flow of
current.
Inductive reactance XL
is proportional
to the signal frequency
and the inductance L.
An inductor consists of a coiled
conductor. Faraday's law of electromagnetic
induction gives the back emf E (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 N loops this gives.
The back-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.The phase of the voltage across a
purely reactive device (a device with a resistance of zero) lags the
current by Pi/2 for a capacitive reactance and leads the current by Pi/2
for an inductive reactance. Note that without knowledge of both the resistance
and reactance we cannot determine the voltage-current relationships.
The origin of the different signs
for capacitive and inductive reactance is the phase factor in the impedance.
For a reactive component the
sinusoidal voltage across the component is in quadrature (a Pi/2 phase
difference) with the sinusoidal current through the component. The component
alternately absorbs energy from the circuit and then returns energy to the
circuit, thus a pure reactance does not dissipate power.