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    This article is about electronics. For a discussion of "reactive" or "reactance" in chemistry, see reactivity.:For a discussion of the psychological concept of reactance, see reactance (psychology).


    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 the component of complex electric impedance of the alternating current circuit, which produces a phase shift between an electric current and voltage 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 relationship between impedance, resistance, and reactance is given by the equation

    Z = R + j X ,


    where
    Z is impedance in ohms,

    R is resistance in ohms,

    X is reactance in ohms,

    and j is the imaginary unit sqrt.


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

    left | Z

    ight | = sqrt ,

    For a purely inductive or capacitive element, the magnitude of the impedance simplifies to just the reactance.

    The reactance is given by
    X = X_L - X_C ,

    where X_L and X_C are the inductive and capacitive reactances, respectively.

    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 to the frequency (hence zero for DC). There is also a phase difference between the current and the applied voltage.

    Inductive reactance has the formula

    X_L = omega L = 2pi f L ,!


    where
    XL is the inductive reactance, measured in ohms

    ω is the angular frequency, measured in radians per second

    f is the frequency, measured in hertz

    L is the inductance, measured in henries


    Capacitive reactance (symbol XC) reflects the fact that electrons cannot 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

    X_C = rac = rac ,


    where
    XC is the capacitive reactance measured in ohms

    ω is the angular frequency, measured in radians per second

    f is the frequency, measured in hertz

    C is the capacitance, measured in farads



        Reactance
            See also

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    See also
      X_mathrm = Capacitive reactance: Opposition to Current.
      X_mathrm = Inductive reactance: Opposition to Voltage.
     
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    This article is licensed under the GNU Free Documentation License [copyleft]. It uses material from the Wikipedia article "Reactance". link