Smith Chart — Interactive Transmission-Line Matching

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Drag the point on the chart, or pick a preset load. The point is Γ in the complex plane; the chart is the Möbius map Γ = (z − 1) / (z + 1) of the normalized impedance z = Z / Z₀. Type R + jX to set the load directly, or use the line-length slider to rotate the point along a constant-|Γ| circle (the WTG behavior).

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Smith chart

drag this point Z₀ (= 50 Ω by default) open circuit (right edge) short circuit (left edge)

Inputs

0.000
Presets:

Readouts (live, from Γ)

Load
ZL = R + jX
75.0 + j0.0 Ω
z = Z / Z₀
1.500 + j0.000
YL = G + jB
0.0133 + j0.0000 S
Reflection coefficient
|Γ|
0.200
∠Γ
0.0°
Γ = Re + j Im
0.200 + j0.000
Standing wave & loss
VSWR = (1+|Γ|)/(1−|Γ|)
1.500
Return loss
−13.98 dB
Mismatch loss
0.881 dB
Position on the line (from the load)
WTL (toward load)
0.000 λ
WTG (toward gen.)
0.000 λ
Single-stub match (short-circuited stub)
Solution 1: d
0.0000 λ
stub length l₁
0.0000 λ
Solution 2: d
0.0000 λ
stub length l₂
0.0000 λ