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Encyclopedia > Capacitive reactance

In the analysis of an alternating-current electrical circuit (for example a RLC series circuit), reactance is the imaginary part of impedance, and is caused by the presence of inductors or capacitors in the circuit. Reactance is denoted by the symbol X and is measured in ohms.


If X > 0, the reactance is said to be inductive


If X = 0, then the circuit is purely resistive, i.e. it has no reactance.


If X < 0, it is said to be capacitive.



The reciprocal of reactance is susceptance.


The relationship between impedance, resistance, and reactance is given by the equation:

Often it is enough to know the magnitude of the impedance:

where


Z is impedance, measured in ohms


R is resistance, measured in ohms


X is reactance, measured in ohms



Inductive reactance (symbol XL) is caused by the fact that a current is accompanied by a magnetic field; therefore a varying current is accompanied by a varying magnetic field; the latter gives an electromotive force that resists the changes in current. The more the current changes, the more an inductor resists it: the reactance is proportional with the frequency (hence zero for DC). There is also a phase difference between the current and the applied voltage.


Inductive reactance has the formula

where


XL is the inductive reactance, measured in ohms


f is the frequency, measured in hertz


L is the inductance, measured in henry


Capacitive reactance (symbol XC) reflects the fact that electrons can not pass through a capacitor, yet effectively alternating current (AC) can: the higher the frequency the better. There is also a phase difference between the alternating current flowing through a capacitor and the potential difference across the capacitor's electrodes.


Capacitive reactance has the formula

where


XC is the capacitive reactance measured in ohms


f is the frequency, measured in hertz


C is the capacitance, measured in farad


SI electricity units

SI electromagnetism units

edit  (http://en.wikipedia.org/w/index.php?title=Template:SI-electromagnetism-units&action=edit)

Name Symbol Dimensions Quantity
ampere (SI base unit) A A Current
coulomb C A新 Electric charge, Quantity of electricity
volt V J/C = kg搶2−3−1 Potential difference
ohm Ω V/A = kg搶2−3−2 Resistance, Impedance, Reactance
ohm metre Ω搶 kg搶3−3−2 Resistivity
farad F C/V = kg−1−224 Capacitance
farad per metre F/m kg−1−324 Permittivity
reciprocal farad F−1 kg12−2−4 Elastance
siemens S Ω−1 = kg−1−232 Conductance, Admittance, Susceptance
siemens per metre S/m kg−1−332 Conductivity
weber Wb V新 = kg搶2−2−1 Magnetic flux
tesla T Wb/m2 = kg新−2−1 Magnetic flux density
ampere per metre A/m m−1 magnetic induction
ampere-turns per weber A/Wb kg−1−222 Reluctance
henry H V新/A = kg搶2−2−2 Inductance
henry per metre H/m kg搶新−2−2 Permeability
(dimensionless) - - Magnetic susceptibility





External links

  • Resistance, Reactance, and Impedance (http://www.geocities.com/SiliconValley/2072/elecrri.htm)






 

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