Examples
Examples
Try the starting example
- Load resistance (ohms)
- 75
- Load reactance (ohms)
- 25
- Real reference impedance (ohms)
- 50
- Normalized resistance-reactance
- [1.5,0.5]
- Smith reflection point real-imaginary
- [0.230769230769,0.153846153846]
Try another scenario
- Load resistance (ohms)
- 82.5
- Load reactance (ohms)
- 25
- Real reference impedance (ohms)
- 50
- Normalized resistance-reactance
- [1.65,0.5]
- Smith reflection point real-imaginary
- [0.271227225851,0.137504297009]
Calculation method
Calculation method
Normalized resistance-reactance
Load impedance / reference impedance.
Smith reflection point real-imaginary
(normalized Z−1)/(normalized Z+1).
Symbols and units
- a
- Load resistance (ohms)
- b
- Load reactance (ohms)
- c
- Real reference impedance (ohms)
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
- Complex impedance, reference impedance. Returns Normalized impedance and reflection point. 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. Real reference impedance (ohms): minimum 1e-12, maximum 1000000000000.0.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.