FIRST LIGHT · RF LAB

RF Matching Workbench

L-section + single-stub · Smith chart · uSimmics build sheet

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Problem 5.1(a)

Z₀ = 100 Ω · f₀ = 3 GHz · ZL = 150 − j200 Ω

2 course paths
FINAL ZIN100 + j0 ΩIndependent evaluation
S₁₁ @ f₀−∞ dB|Γ| = 0
VSWR1.000Ideal lossless network
TARGETPASSS₁₁ < −10 dB

SELECT A VALID BRANCH

Matching solutions

CIRCUIT

Series C + shunt L

Series capacitor0.298125 pF
Shunt inductor7.10117 nH

Ideal and lossless. Package/pad parasitics are not included.

SMITH CHART

Path to Γ = 0

● Load━ First element━ Second element● Matched
FORMULA + CHECK

Independent verification

Xseries
−177.941 Ω
Bshunt
−0.00747 S
Junction Z

FREQUENCY RESPONSE

S₁₁ and input impedance

Calculating sampled passband…
━ S₁₁ (dB)━ Rin (Ω)━ Xin (Ω)┅ PASS target

TRADE-OFFS

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#TopologySeriesShuntForm

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uSimmics build sheet