AC Circuits: How to Calculate Inductive, Capacitive, and Equivalent Reactance

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In AC circuits, inductance (produced by inductors) and capacitance (produced by capacitors) produce reactance (X). Reactance opposes changes in current or voltage.

A selection of low-value inductors

Capacitors

Inductive Reactance is computed by:

X_L = 2{\pi}fL

where:
f is frequency
L is inductance

Capacitive Reactance is computed by:

X_C = \frac{1}{2{\pi}fC}

where:
f is frequency
C is capacitance

Equivalent Reactance is computed by:


X_{eq} = X_L - X_C

Reactance is the nonresistive component of the impedance in an AC circuit. It is the imaginary part of the Impedance. It is measured in Ohms(Ω).
An inductor or capacitor in parallel with any such will have it's equivalent reactance computed differently from such. In other words, if an inductor is connected in parallel to a capacitor, their equivalent reactances will be computed individually.

If you have questions, place a comment below.

2 comments :

  1. The difference in capacitor sizes may be big enough to restrict the expected accuracy if the capacitor is part of a tuned filter. how to tell which wire is hot without a multimeter?

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  2. This explanation is so clear and detailed — I really appreciate how you broke down the math behind the dart angle! It’s always great to see practical applications of formulas in real-world sewing. I’ve been exploring how similar logic applies in other areas, like finance, where I recently used a estimate payments to understand payment structures more clearly. It’s interesting how both sewing and numbers rely so much on precision and correct calculation. Thanks again for sharing such valuable insights!

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