Understanding Capacitor Reactance Frequency

Explaining Capacitor Reactance Frequency:

A capacitor's reactance is a function of its capacitance and the frequency of the signal passing through it. The capacitor's impedance, or opposition to alternating current, is determined by the reactance of the capacitor. It is denoted by the symbol Xc, which is measured in ohms (Ω).

The formula for calculating the reactance of a capacitor is as follows:
Xc = 1 / 2πfC
Where,
Xc is the reactance of the capacitor in ohms
f is the frequency of the signal in Hertz
C is the capacitance of the capacitor in farads

As a result, the frequency at which a 10 μF capacitor has a reactance of 100 mΩ can be calculated as follows:
100 mΩ = Xc
1 / 2πfC = 1 / (2π × f × 10 μF)
100 × 10^-3 = 1 / (2π × f × 10 × 10^-6)
2π × f = 1 / (100 × 10^-3 × 10 × 10^-6)
2π × f = 1 / 100
f = 1 / (100 × 2π) = 1.59 × 10^3 Hz

Hence, the frequency at which a 10 μF capacitor has a reactance of 100 mΩ is 1.59 kHz.