Electricity & Magnetism
Resonant Frequency (LC)
Resonant frequency of LC circuit where X_L = X_C.
Variables
fHz
Resonant frequency
Natural frequency
LH
Inductance
Inductance
CF
Capacitance
Capacitance
Derivation
At resonance: ωL = 1/(ωC), so ω = 1/√(LC), f = ω/(2π).
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Common questions
What is the Resonant Frequency (LC) formula?
Resonant Frequency (LC) is written f = frac{1}{2π√(LC)}. Resonant frequency of LC circuit where X_L = X_C. It belongs to Electricity & Magnetism, under AC Circuits.
What are the units in f = frac{1}{2π√(LC)}?
In SI units, f is resonant frequency, measured in s⁻¹; L is inductance, measured in kg·m²/(A²·s²); C is capacitance, measured in A²·s⁴/(kg·m²).
How is the Resonant Frequency (LC) formula derived?
At resonance: ωL = 1/(ωC), so ω = 1/√(LC), f = ω/(2π). The result is f = frac{1}{2π√(LC)}.