Smith Chart Studio

Outer ring: wavelengths toward generator (clockwise) · middle: toward load · inner: ∠Γ in degrees

System

Z₀ (Ω) Frequency

Load / Point

Preset

R (Ω) X (Ω) r (norm.) x (norm.) |Γ| ∠Γ (°)

Edit any field, or drag the red point on the chart — everything stays in sync. Arrow keys nudge the point.

Readouts

Transmission line

Toward generator Toward load

λ

Display

Quick reference

z = Z / Z₀ (normalized impedance)
Γ = (z − 1) / (z + 1)
z = (1 + Γ) / (1 − Γ)
SWR = (1 + |Γ|) / (1 − |Γ|)
Return loss = −20·log₁₀|Γ| dB
y = 1/z — point diametrically opposite Γ
Moving ℓ toward generator: Γ·e^{−j4πℓ/λ} (clockwise)
Full circle around the chart = 0.5 λ
Upper half: inductive (x > 0) · lower half: capacitive (x < 0)