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What is the formula for calculating capacitive reactance in AC circuits?

1 Answer

The formula for calculating capacitive reactance (


X
C
    โ€‹

) in AC circuits is given by:



=
1
2



X
C
    โ€‹

=
2ฯ€fC
1
    โ€‹


Where:



X
C
    โ€‹

 is the capacitive reactance in ohms (
ฮฉ
ฮฉ).

ฯ€ is the mathematical constant pi (approximately 3.14159).

f is the frequency of the AC signal in hertz (Hz).

C is the capacitance of the capacitor in farads (F).

Capacitive reactance (


X
C
    โ€‹

) represents the opposition that a capacitor offers to the flow of alternating current (AC) through it. It's inversely proportional to both the frequency of the AC signal (

f) and the capacitance (

C) of the capacitor. As the frequency increases, the capacitive reactance decreases, allowing more current to flow through the capacitor. Similarly, if the capacitance increases, the capacitive reactance also decreases.
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