RF stub matching worksheet calculator

Calculate two shunt short-circuit stub solutions with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use two shunt short-circuit stub solutions to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Load resistance (ohms)
75
Load reactance (ohms)
25
Line resistance (ohms)
50
Frequency (MHz)
100
Velocity factor
0.66
Two shunt short-circuit stub solutions
[[0.399427713575,0.333333333333,0.790319745903,0.6595434076],[0.194155807331,0.166666666667,0.384162548316,0.3297717038]]

Try another scenario

Load resistance (ohms)
82.5
Load reactance (ohms)
25
Line resistance (ohms)
50
Frequency (MHz)
100
Velocity factor
0.66
Two shunt short-circuit stub solutions
[[0.387750229117,0.340430101871,0.767214322229,0.673585288312],[0.186926658741,0.159569898129,0.369858736431,0.315729823088]]
Calculation method

Calculation method

Two shunt short-circuit stub solutions

[distance from load in wavelengths, shorted-stub length in wavelengths, distance m, stub length m], ideal lossless line.

Symbols and units
a
Load resistance (ohms)
b
Load reactance (ohms)
c
Line resistance (ohms)
d
Frequency (MHz)
e
Velocity factor

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Load, line impedance, frequency, supported topology. Returns Idealized stub solutions. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Load resistance (ohms): minimum 1e-12, maximum 1000000000000.0. Load reactance (ohms): minimum None, maximum 1000000000000.0. Line resistance (ohms): minimum 1e-12, maximum 1000000000000.0. Frequency (MHz): minimum 1e-12, maximum 1000000000000.0. Velocity factor: minimum 1e-12, maximum 1.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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