LC Resonance Calculator Formula
Understand the math behind the lc resonance calculator. Each variable explained with a worked example.
Formulas Used
Resonant Frequency
freq_hz = 1 / (2 * pi * sqrt(l_h * c_f))Frequency (MHz)
freq_mhz = 1 / (2 * pi * sqrt(l_h * c_f)) / 1000000Variables
| Variable | Description | Default |
|---|---|---|
inductance_uh | Inductance(µH) | 100 |
capacitance_pf | Capacitance(pF) | 100 |
l_h | Derived value= inductance_uh / 1000000 | calculated |
c_f | Derived value= capacitance_pf / 1000000000000 | calculated |
How It Works
LC Resonant Frequency
f = 1 / (2 x pi x sqrt(L x C))
At resonance, inductive and capacitive reactances are equal and cancel, allowing maximum energy transfer.
Worked Example
100 uH and 100 pF.
inductance_uh = 100capacitance_pf = 100
- 01L = 100 uH = 0.0001 H
- 02C = 100 pF = 1e-10 F
- 03f = 1 / (2pi x sqrt(0.0001 x 1e-10))
- 04f = 1 / (2pi x sqrt(1e-14)) = 1 / (2pi x 1e-7)
- 05f = 1,591,549 Hz = 1.5915 MHz
Frequently Asked Questions
What happens at resonance?
XL = XC, impedance is minimized (series) or maximized (parallel), and energy oscillates between L and C.
What is this used for?
Radio tuning, oscillators, filters, impedance matching networks.
Does resistance affect resonant frequency?
Ideal resonant frequency is independent of resistance, but resistance affects bandwidth and Q factor.
Ready to run the numbers?
Open LC Resonance Calculator