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L Network Matching Calculator

L Network Matching Calculator

Design an ideal RF L-network match between two real resistances. Calculate loaded Q, series reactance, shunt reactance, and low-pass L/C component values.

Input Parameters

Ω
Real source resistance.
Ω
Real load resistance to be matched.
MHz
Frequency used to convert reactance to L and C.

Results

Loaded Q
--
Series Reactance
--
Shunt Reactance
--
Series Component
--
Shunt Component
--
Topology Note
--

Equations Used

Resistance Ratio: Rhigh / Rlow

Loaded Q: Q = √(Rhigh / Rlow - 1)

Series Reactance: Xs = Q × Rlow

Shunt Reactance: Xp = Rhigh / Q

Low-Pass Realization: Series L = Xs / (2πf), Shunt C = 1 / (2πfXp)

Frequently Asked Questions (FAQ)

Q1: What does an L-network matching calculator do?
It calculates ideal L and C values to match one real resistance to another at a chosen frequency.

Q2: Can this match complex impedances directly?
This version assumes real source and load resistances. Complex loads should first be transformed or tuned using RF design methods.

Q3: What is the difference between low-pass and high-pass L networks?
They use different inductor/capacitor placement but can provide the same impedance transformation at the design frequency.

Q4: Why does matching network Q matter?
Higher Q means narrower bandwidth and greater sensitivity to component tolerance and parasitics.

Q5: Are the calculated values exact in real PCBs?
No. PCB parasitics, component Q, self-resonance, layout, and load variation affect the final match.

Disclaimer: This calculator assumes ideal real source and load resistances. Real RF matching must account for complex impedance, parasitics, component Q, layout, bandwidth, and VNA measurement.
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