The LC Resonant Frequency Calculator helps determine the frequency at which an LC circuit (inductance and capacitance) resonates.
This tool is useful for electronic engineers and technicians who design or analyze oscillating circuits.
Formula used
f = 1 / (2 × π × √(L × C))
Or :
L = circuit inductance (H, mH, µH, nH)
C = circuit capacitance (F, µF, nF, pF)
f = resonance frequency (Hz or GHz)
Explanation
This formula shows that the resonant frequency depends on the inductance and capacitance of the circuit.
Larger inductance or higher capacitance reduces the resonant frequency, while lower inductance or capacitance increases the frequency.
The factor 2π comes from the relationship between the angular frequency and the frequency in hertz.
Calculation example
For a circuit with:
L = 100 nH , C = 10 pF :
f = 1 / (2 × π × √(100×10⁻⁹ × 10×10⁻¹²)) ≈ 5.03 GHz
Benefits and Use
- Allows you to quickly determine the resonant frequency of an LC circuit.
- Useful for the design of oscillating circuits, filters and antennas.
- Helps optimize the performance of RF and high frequency electronic circuits.
- Useful for testing different combinations of inductance and capacitance to achieve the desired frequency.
