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Ham Radio: Impedance-3: Reactance

[last updated: 2020-11-25]
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go to: Impedance-5 - Imaginary Numbers
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  • Reactance opposes current flow for AC signals.
    Reactance is measured in ohms, and the actual value of the reactance depends on the frequency of the AC signal.
          (see calculation formula below)

  • Reactance is created by inductors and capacitors.
    Inductance (L) is measured in Henrys, and creates "Inductive Reactance" (Xl) measured in ohms.
    Capacitance (C) is measured in Farads, and creates "Capacitive Reactance" (Xc), also measured in ohms.

  • Calculate Reactance:
    Inductive Reactance: Xl = 2 * pi * F * L
    Capacitive Reactance: Xc = -1 / (2 * pi * F * C)
         (Note Capacitive Reactance is a negative value)
      where:
      F is frequency in Hz
      L is inductance in Henrys
      C is capacitance in Farads

  • Circuits with both inductive and capacitive reactance:
    Since reactances are "like" resistances, if you want to combine series or parallel reactances,
    use the same rules that you'd use to combine resistances.
    • Total reactance in a series circuit is the sum of the reactances of the individual components.
      For example if you have a 50ohm inductive reactance in series with a 100ohm capacitive reactance,
      the net reactance will be:      50 + (-100) = -50ohms capacitive
    • Total reactance in a parallel circuit with two components uses the "product-over-the-sum" formula.

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  • So what's going on when an inductor or a capacitor creates Reactance?

  • The Answer: Because of the way capacitors and inductors are built,
    and the way that electric and magnetic fields work,
    it happens that both inductors and capacitors,
         when they are in a circuit with an AC waveform,


         Shift the current waveform to be out of phase with the applied voltage signal.
         They create a phase-shift between voltage and current.

         This is the essence of Reactance: Voltage and Current are out-of-phase with each other.

  • The shift can happen in either direction: Capacitors shift the current to lead the voltage waveform. Inductors shift the current to lag the voltage.
  • By convention, phase angle is measured from voltage to current. So if voltage leads (inductors), the phase angle is positive. If voltage lags (capacitors), the phase angle is negative.
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    More explanation:
    go to: Impedance-3a - Reactance Physics

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