Capacitive Reactance (X_C = 1/2πfC)

XC=12πfCX_C = \frac{1}{2\pi f C}

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A capacitor passes AC by charging and discharging, and the faster the alternation, the less time charge has to pile up and oppose it — so reactance falls as 1/f. A 1 μF capacitor looks like 2.65 kΩ at 60 Hz but only 0.16 Ω at 1 MHz. This is the mirror image of the inductor's behavior, and the complement in loudspeaker crossovers: a series capacitor feeds the tweeter, blocking bass while passing treble. At DC (f = 0) the reactance is infinite — a capacitor is an open circuit once charged.

Capacitive Reactance (X_C = 1/2πfC)
XC=12πfCX_C = \frac{1}{2\pi f C}
Where
  • XCX_C= Capacitive reactance
  • ff= Frequency
  • CC= Capacitance
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