This converter makes it possible to determine the resonant frequency of an LC circuit from the inductance and capacitance values. It is useful for electronic circuit designers who want to estimate the frequency at which an LC resonator will naturally oscillate.
Formula
f = 1 / (2 × π × √(L × C))
Explanation of the formula
The formula comes from the fundamental laws of electromagnetism for a resonant circuit. The inductance L (in henrys) and the capacitance C (in farads) define the natural frequency at which the LC circuit oscillates. The factor 2π appears to convert angular frequency to frequency in hertz.
The calculated value can be converted to gigahertz (GHz) for convenient reading in the context of RF or microwave circuits.
Uses
- Estimate the resonant frequency of an LC filter or oscillator.
- Assist in the design of RF circuits for the selection or rejection of certain frequency bands.
- Predict the behavior of resonant antennas and tuned circuits.
- Support the teaching and visualization of resonance concepts in electronics.