This figure of merit calculator finds the quality factor (Q) of a resonant system from its resonant frequency and bandwidth. Enter both values above for the Q.
Formula
Q = f₀ ÷ Bandwidth
A higher Q means a sharper, more selective resonance with lower losses.
Example
f₀ = 10 MHz, bandwidth = 100 kHz: Q = 10,000,000 ÷ 100,000 = 100.
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Frequently Asked Questions
How do I calculate Q factor?
Divide the resonant frequency by the bandwidth: Q = f0 / BW. A 10 MHz resonance with 100 kHz bandwidth has Q = 100.
What does a high Q mean?
A sharper resonance and lower energy loss, giving better frequency selectivity in filters and oscillators.
Is figure of merit the same as Q?
In resonant circuits, yes — the figure of merit is the quality factor Q.