The formula for calculating capacitive reactance (
X
C
โ
) in AC circuits is given by:
=
1
2
X
C
โ
=
2ฯfC
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.