Capacitive Reactance conversion calculator

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.