Use this electronics calculation for a first-pass component, converter, signal, motor, or sensor estimate when the stated operating conditions and units match the device data.

Capacitance (F)

Tank capacitance.

Inductance (H)

Tank inductance.

Resistance (Ω)

Series resistance representing the circuit losses.

Compute the quality factor of a series RLC resonator, Q = sqrt(L / C) / R = (omega0 * L) / R; a higher Q means lower damping and a narrower resonance bandwidth. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Quality factor

Dimensionless quality factor of the series resonator.

• Bandwidth-to-Q relationships usually assume a lightly coupled, approximately second-order resonance and a specified bandwidth convention. Loading, multiple resonances, loss variation, and measurement method can change the inferred Q.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check the result against the current datasheet and worst-case operating corners, then verify the circuit or measurement with simulation and bench testing where failure matters.

• Bandwidth From Q

  Calculate the bandwidth of a resonant circuit from its resonant frequency and quality factor.

• Q From Bandwidth

  Compute the quality factor of a resonant circuit from its resonant frequency and bandwidth.

• Series Resonance Impedance

  Compute the impedance in ohms of a series RLC circuit at resonance, where reactances cancel and only the winding resistance remains.