\[f_r=\frac{1}{2\pi\sqrt{LC}}\]
Variables
frresonant frequency (Hz)
Linductance (H)
Ccapacitance (F)
Description
What is this formula?
This formula calculates the resonant frequency of a series RLC circuit where inductive and capacitive reactances are equal.
When to use it
Use it when analyzing resonance conditions in AC circuits containing inductors and capacitors.
Example
Data:
L = 0.10 H
C = 100e-6 F
Formula:
fr = 1/(2*pi*sqrt(L*C))
Substitution:
fr = 1/(2*pi*sqrt(0.10*100e-6))
Result:
fr = 50.3 Hz
Applications
Resonant circuits, radio tuning, filters, oscillators, signal processing, and electrical engineering.