EngiRef / Formulas

Resonant Frequency

Frequency at which XL equals XC

AC Circuits

Source Details

Id

elec-resonant-freq

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

Variables
[
  {
    "symbol": "f₀",
    "name": "Resonant Frequency",
    "unit": "Hz",
    "siUnit": "Hz"
  },
  {
    "symbol": "L",
    "name": "Inductance",
    "unit": "H",
    "siUnit": "H"
  },
  {
    "symbol": "C",
    "name": "Capacitance",
    "unit": "F",
    "siUnit": "F"
  }
]
Solve For

f₀, L, C

Tags

resonance, frequency, lc, tuning

Is Custom

false