Smith Chart
Calculate Smith Chart instantly with the exact formula and a worked example.
Smith Chart
Resistance RΩ
Reactance XΩ
Line characteristic impedance Z₀Ω
Normalized resistance r = R/Z₀
2
Normalized reactance x
1
|Γ| (reflection coefficient magnitude)
0.4472
Angle of Γ
26.6°
VSWR
2.618
Return loss
6.99dB
More about: Smith Chart
What it calculates
The “Smith Chart” calculator computes Normalized resistance r = R/Z₀ from 3 parameters: resistance r (Ω), reactance x (Ω), line characteristic impedance z₀ (Ω).
A standard physics formula used in educational and engineering tasks.
Example calculation
With parameters Resistance R = 100 Ω, Reactance X = 50 Ω, Line characteristic impedance Z₀ = 50 Ω the result is 2.
How to use
- Enter resistance r, reactance x and line characteristic impedance z₀ — each field above is adjustable with a slider.
- Normalized resistance r = R/Z₀ is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- Copy the result or bookmark this calculator.
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FAQ
How is Smith Chart calculated?
The Smith Chart calculator computes Normalized resistance r = R/Z₀ from resistance r, reactance x, line characteristic impedance z₀. Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Smith Chart calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.
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