Description
derivative = (equivalent/branch)².
An electrical sensitivity is a derivative at a stated operating point with the other parameters held fixed. Its units differ from the original voltage, current or resistance, and it approximates finite changes only within a suitable local range.
derivative = (equivalent/branch)².
When to use this tool
Use Parallel Resistance Single Branch Sensitivity when checking one supplied ideal-circuit derivative.
How to use the tool and how it works
- Enter equivalent, branch. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read derivative. Use the output convention below.
Require nonnegative equivalent resistance and positive branch resistance with equivalent <= branch. derivative = (equivalent/branch)².1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| equivalent | Equivalent | Required. Finite number; minimum 0. |
| branch | Branch | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| derivative | Derivative | Required. Finite number. |
{
"input": {
"equivalent": 2,
"branch": 4
},
"output": {
"derivative": 0.25
}
}Limitations and assumptions
- This is the local equivalent-resistance derivative for one parallel branch with other branches fixed. The supplied equivalent is not recomputed from a whole network.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a full tolerance, nonlinear or thermal analysis when changes are large or component conditions affect the operating point.
References
Similar or alternative tools
- Resistor Thevenin Load Current Sensitivity
derivative = -voltage/(sourceResistance+loadResistance)², the load-current derivative with respect to load resistance.
- Resistor Voltage Sensitivity
voltage = current*resistance; derivativeWithRespectToResistance = current; derivativeWithRespectToCurrent = resistance.