This L matching network calculator finds the series and shunt reactances that match a source resistance to a load resistance. Enter both resistances above to get the L-section values.
Formulas
Q = √(Rhigh ÷ Rlow − 1) Xseries = Q × Rlow Xshunt = Rhigh ÷ Q
Example
Match 50 Ω to 200 Ω: Q = √(200/50 − 1) = 1.73, Xseries = 86.6 Ω, Xshunt = 115.5 Ω.
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Frequently Asked Questions
How do I design an L matching network?
Find Q from the impedance ratio, then set the series reactance to Q times the lower resistance and the shunt reactance to the higher resistance over Q.
What is the Q of an L network?
It is fixed by the impedance ratio: Q equals the square root of the high-to-low resistance ratio minus one.
Which side gets the shunt element?
The shunt element goes on the high-impedance side of the L network.