Capacitive Reactance & Admittance Calculator Formula
The Capacitive Reactance conversion calculator computes the opposition a capacitor presents to AC current (XC) and the corresponding capacitive susceptance (BC).
XC = 1 / (2π × f × C)
BC (m-mhos) = 2π × f × C × 1000
Formula Explanation
In this formula, XC represents the capacitive reactance in ohms, f is the frequency of the AC signal in Hertz, and C is the capacitance in Farads. BC represents the capacitive susceptance expressed in milli-mhos (m-mhos), obtained by multiplying the standard susceptance by 1000. The formulas allow engineers to understand how capacitors behave at different frequencies.
Uses of the Capacitive Reactance conversion calculator
- Designing and analyzing AC circuits where capacitive reactance affects signal behavior.
- Calculating the proper capacitive values for filters, oscillators, and tuning circuits.
- Understanding impedance and admittance relationships in RF and audio circuits.
- Educational purposes for electronics students learning about capacitive effects.
- Testing and optimizing circuits to prevent undesired signal attenuation or phase shifts.
Formula Example
Suppose you have a frequency of 1 MHz and a capacitor of 100 pF.
XC = 1 / (2 × π × 1,000,000 × 100 × 10⁻¹²) ≈ 1,591 Ω
BC = 2 × π × 1,000,000 × 100 × 10⁻¹² × 1000 ≈ 0.628 m-mhos
These calculations show the opposition to current (XC) and the corresponding susceptance (BC) for this capacitor at the specified frequency.