LC Resonance Calculator Formula

Understand the math behind the lc resonance calculator. Each variable explained with a worked example.

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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)) / 1000000

Variables

VariableDescriptionDefault
inductance_uhInductance(µH)100
capacitance_pfCapacitance(pF)100
l_hDerived value= inductance_uh / 1000000calculated
c_fDerived value= capacitance_pf / 1000000000000calculated

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
  1. 01L = 100 uH = 0.0001 H
  2. 02C = 100 pF = 1e-10 F
  3. 03f = 1 / (2pi x sqrt(0.0001 x 1e-10))
  4. 04f = 1 / (2pi x sqrt(1e-14)) = 1 / (2pi x 1e-7)
  5. 05f = 1,591,549 Hz = 1.5915 MHz

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