Capacitive & Inductive Reactance

Reactance has some similarities with resistance and can be thought of in basic terms as resistance to alternating currents. This includes currents at radio frequencies.

Capacitive Reactance

The impedance of a capacitor is given by the formula

<math>Z = {1 \over j\omega C}</math>

Where <math>C</math> is the capacitance, <math>\omega</math> is <math>2 \pi f</math>, and <math>f</math> is the frequency. <math>j</math> is “operator j” from phasor analysis.

In prasctical terms this leads to:

<math> X_c = \frac {1} {2\pi F C} </math> where

  • <math> X_c </math> is capacitive reactacnce
  • F is the frequency of operation in Hertz
  • C id the capacitance in Farads

Inductive Reactance

The impedance of an inductor is given by the formula

<math>Z = j \omega L \,</math>

where <math>Z\,</math> is the impedance, <math>\omega\,</math> is <math>2 \pi f\,</math>, and <math>f\,</math> is the frequency. <math>j\,</math> is “operator j” from phasor analysis.

In pracical terms this leads to:

<math> X_c = 2 \pi F L </math> where:

  • <math> X_c </math> is capacitive reactance
  • F is the frequency of operation in Hertz
  • L is the inductance in Henries

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