Smith Chart Impedance Matching Calculator

Plot impedance on the Smith chart and read matching values.

Values

Load resistance R_L (Ω) Load reactance X_L (Ω) Characteristic impedance Z₀ (Ω)

Result

z = 2.00 + j0.00 · Γ = 0.333 ∠180° · VSWR 2.00

Reading the Smith chart

The Smith chart maps normalized impedance z = Z/Z₀ onto the reflection-coefficient plane. Every point corresponds to a reflection coefficient Γ = (z−1)/(z+1). Concentric circles are constant resistance; the arcs crossing them are constant reactance (upper half = inductive, lower half = capacitive).

The center (Γ = 0) is a perfect match. Distance from the center gives |Γ|; VSWR and return loss follow directly. The quarter-wave transformer impedance shown is Z_T = √(Z₀·R_L), valid for a resistive load.