EngiRef / Electrical Engineering Formula

Resonant Frequency

Resonant Frequency: Frequency at which XL equals XC. An AC Circuits formula in electrical engineering. Variables f₀, L and C, each with SI and imperial units.

AC Circuits

Specification

Name
Resonant Frequency
Discipline
electrical
Category
AC Circuits
LaTeX
f_0 = \frac{1}{2 \pi \sqrt{LC}}
Description
Frequency at which XL equals XC
Conditions
Ideal LC or RLC with negligible resistance
Can solve for
f₀, L, C
Tags
resonance, frequency, lc, tuning

Variables

Variables for Resonant Frequency
SymbolNameUnitSi Unit
f₀Resonant FrequencyHzHz
LInductanceHH
CCapacitanceFF

Common questions

What is the Resonant Frequency formula?
Frequency at which XL equals XC. It sits under AC Circuits, Electrical engineering in the EngiRef reference.
What do the symbols in the Resonant Frequency formula mean?
In Resonant Frequency, f₀ is resonant frequency in Hz; L is inductance in H; C is capacitance in F.
When does the Resonant Frequency formula apply?
Resonant Frequency holds under this condition: Ideal LC or RLC with negligible resistance.