This Pi network calculator designs a pi-section impedance-matching network for a chosen loaded Q. Enter the source and load resistance and the target Q above.
Design equations
Virtual R = Rmax ÷ (Q² + 1) The pi network is two back-to-back L-sections that each match to the virtual resistance.
Example
50 Ω to 200 Ω, Q = 5: virtual R = 200 ÷ (25 + 1) = 7.69 Ω, then solve two L-sections to that value.
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Frequently Asked Questions
What is a pi matching network?
It is two L-sections back to back, giving a shunt-series-shunt arrangement that sets bandwidth through the loaded Q.
Why choose the Q for a pi network?
Unlike an L network, a pi network lets you pick the loaded Q, trading bandwidth for harmonic filtering.
What is the virtual resistance?
It is the intermediate resistance the two L-sections match to, equal to the larger resistance over Q squared plus one.