Capacitive Reactance Calculator

The Formula

The formula for calculating capacitive reactance is:

$$X_c=\frac{1}{2\pi fC}$$

Where:

• Xc: Capacitive reactance (in ohms, Ω)
• π: Pi (approximately 3.14159)
• f: Frequency (in hertz, Hz)
• C: Capacitance (in farads, F)

Calculation Steps

1. Identify the frequency (f) and capacitance (C)
2. Insert these values into the formula
3. Calculate 2πf
4. Multiply the result by C
5. Take the reciprocal of the result to get Xc

Example Calculation

Let's calculate the capacitive reactance for a 10 µF capacitor at 1 kHz:

$$X_c=\frac{1}{2\pi (1000Hz)(10\times {10}^{-6}F)}\approx 15.9\mathrm{\Omega }$$

Visual Representation

This visual represents the capacitive reactance as an impedance in an AC circuit.