The reactance and capacitive admittance calculator allows you to determine the reactance (XC) and capacitive admittance (BC) of a capacitor as a function of frequency and capacitance.
This tool is useful for engineers and technicians working on RF and electronic circuits.
Formula used
XC = 1 / (2π × F × C)
BC = 2π × F × C × 1000 (in m-mhos)
Or :
F = signal frequency (Hz, kHz, MHz, GHz)
C = capacitor capacitance (F, µF, nF, pF)
XC = capacitive reactance (Ω)
BC = capacitive susceptance (m-mhos)
Explanation
The capacitive reactance XC indicates the resistance to the passage of alternating current offered by a capacitor.
It decreases as frequency or capacity increases.
The capacitive susceptance BC is the inverse of the reactance, expressed here in milli-siemens, and represents the ease with which the capacitor allows alternating current to pass.
Calculation example
For a 10 pF capacitor at a frequency of 1 GHz :
XC = 1 / (2π × 1×10⁹ × 10×10⁻¹²) ≈ 15.915 Ω
BC = 2π × 1×10⁹ × 10×10⁻¹² × 1000 ≈ 62.832 m-mhos
Benefits and Use
- Allows you to quickly calculate the reactance and admittance of a capacitor according to frequency and capacitance.
- Useful for the design and optimization of RF and electronic circuits.
- Helps to size components and understand their behavior in alternating current.
- Facilitates the verification of the performance of filters, resonant circuits and capacitive networks.
