Impedance Matching Calculator — Formula
## L-Network Impedance Matching
An L-network uses two reactive components (one series, one shunt) to transform impedances for maximum power transfer.
### Formula
**Q = sqrt(R_high / R_low - 1)**
**X_shunt = R_high / Q**
**X_series = Q x R_low**
The shunt element goes across the higher impedance side. You choose inductor or capacitor based on the desired network topology (lowpass or highpass).
An L-network uses two reactive components (one series, one shunt) to transform impedances for maximum power transfer.
### Formula
**Q = sqrt(R_high / R_low - 1)**
**X_shunt = R_high / Q**
**X_series = Q x R_low**
The shunt element goes across the higher impedance side. You choose inductor or capacitor based on the desired network topology (lowpass or highpass).
Esempio Risolto
Match 50 ohms to 200 ohms at 100 MHz.
- Q = sqrt(200/50 - 1) = sqrt(3) = 1.73
- Shunt reactance: 200 / 1.73 = 115.5 ohms
- Series reactance: 1.73 x 50 = 86.6 ohms
- Shunt inductor: 115.5 / (2pi x 100e6) = 183.8 nH
- Series capacitor: 1 / (2pi x 100e6 x 86.6) = 18.38 pF