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L-Network Impedance Matching Calculator

Series-L / shunt-C values to match any two resistances at your frequency — with network Q and bandwidth shown.

Series inductor (low side)
Shunt capacitor (high side)
Network Q
X(series)
−3 dB bandwidth ≈ f/Q
Q = √(Rh/Rl − 1) ; Xs = Q·Rl ; Xp = Rh/Q
References: Bowick, RF Circuit Design (impedance matching, ch. 4) · Pozar, Microwave Engineering §5.1 (L-section matching)

Shown is the LOW-PASS version (series L, shunt C) — it also filters harmonics, which is why PAs use it. Swap L↔C for the high-pass twin (blocks DC instead). The Q is FIXED by the resistance ratio — if you need narrower or wider bandwidth, cascade two L-sections (π or T network) and pick an intermediate resistance.

L-Network Matching Calculator computes the two-component L-network that matches one resistance to another — free, instant and private in your browser. RF builders matching PAs, RFID coils and antennas without a tuner use it to skip the datasheet algebra: type your numbers, read the answer with the substituted formula shown step by step, and share an exact permalink of the calculation.

About L-Network Impedance Matching Calculator

L-Network Matching Calculator computes the two-component L-network that matches one resistance to another using the standard engineering relation: Q = √(R(high)/R(low) − 1); X(series) = Q·R(low); X(shunt) = R(high)/Q; then L = X/2πf, C = 1/2πfX. Worked live: matching 50 Ω to a 12 Ω load at 13.56 MHz takes a 250 nH series inductor and a 660 pF shunt capacitor. The result recalculates on every keystroke, the worked-example panel shows your numbers substituted into the formula, and the Copy permalink button encodes the inputs in the URL so a colleague opens exactly your calculation. Everything runs client-side — nothing you type leaves your device.

How to use L-Network Impedance Matching Calculator

  1. 1Enter your values — the tool starts with realistic defaults for this exact use case, so the worked example is meaningful immediately.
  2. 2Read the live result and the worked-example panel, which substitutes your numbers into the formula step by step.
  3. 3Adjust any input to compare scenarios, then use Copy result or Copy permalink to share the calculation.

Why use L-Network Impedance Matching Calculator?

  • Implements the real formula — Q = √(R(high)/R(low) − 1) — with the substitution shown, not a black box
  • Built for RF builders matching PAs, RFID coils and antennas without a tuner
  • Copy result and permalink buttons — share the exact calculation in a README, forum answer or design review
  • 100% free, no sign-up, runs entirely in your browser (works offline once loaded)

Frequently asked questions

How do you calculate l-network matching?+

The two-component L-network that matches one resistance to another follows Q = √(R(high)/R(low) − 1); X(series) = Q·R(low); X(shunt) = R(high)/Q; then L = X/2πf, C = 1/2πfX. For example, matching 50 Ω to a 12 Ω load at 13.56 MHz takes a 250 nH series inductor and a 660 pF shunt capacitor. The calculator applies the same relation and shows the substituted arithmetic so you can verify every step.

Which way around do the L-network components go?+

The shunt element always goes across the HIGHER resistance side, the series element connects to the lower. Low-pass version (series L, shunt C) also suppresses harmonics — the default for transmitter outputs; swap L↔C for a high-pass that blocks DC.

My load isn't purely resistive — can I still use this?+

Yes: first absorb the load's reactance (cancel it with the series element or fold it into the calculation), then match the remaining resistance. Antenna analyzers report R + jX precisely so you can do this — or retune the antenna to resonance first, leaving only R.

Is the L-Network Matching Calculator free and private?+

Yes — completely free with no sign-up or usage limits, and it runs entirely in your browser: the values you enter are never uploaded or stored on a server.

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