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Q Factor
1.73
Q Factor vs Source Impedance
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).
Esempio Risolto
Match 50 ohms to 200 ohms at 100 MHz.
- 01Q = sqrt(200/50 - 1) = sqrt(3) = 1.73
- 02Shunt reactance: 200 / 1.73 = 115.5 ohms
- 03Series reactance: 1.73 x 50 = 86.6 ohms
- 04Shunt inductor: 115.5 / (2pi x 100e6) = 183.8 nH
- 05Series capacitor: 1 / (2pi x 100e6 x 86.6) = 18.38 pF
Domande Frequenti
Why is impedance matching important?
Mismatched impedances cause power reflection, reduced efficiency, and potential damage to transmitters.
What is the bandwidth of an L-network?
Bandwidth is inversely proportional to Q. Higher impedance ratios yield higher Q and narrower bandwidth.
When should I use a pi or T network instead?
When you need to control bandwidth independently of the impedance ratio, or when matching complex impedances.
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