Description
outputVoltage = supply*(bottomLeft/(topLeft+bottomLeft)-bottomRight/(topRight+bottomRight)); balanced checks exact topLeft*bottomRight === topRight*bottomLeft.
A resistive bridge relates two divider outputs to differential and common-mode voltages. Numerical balance depends on arm ratios, while practical balance, sensitivity and readout limits also depend on loading and calibration.
outputVoltage = supply*(bottomLeft/(topLeft+bottomLeft)-bottomRight/(topRight+bottomRight)); balanced checks exact topLeft*bottomRight === topRight*bottomLeft.
When to use this tool
Use Bridge Arm Ratio Balance Residual when checking a supplied ideal bridge or common-mode quantity.
How to use the tool and how it works
- Enter topLeft, bottomLeft, topRight, bottomRight, supply. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read outputVoltage, balanced. Inspect balanced before interpreting the associated values.
Require four positive arm resistances. outputVoltage = supply*(bottomLeft/(topLeft+bottomLeft)-bottomRight/(topRight+bottomRight)); balanced checks exact topLeft*bottomRight === topRight*bottomLeft.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| topLeft | Top Left | Required. Finite number; strictly above 0. |
| bottomLeft | Bottom Left | Required. Finite number; strictly above 0. |
| topRight | Top Right | Required. Finite number; strictly above 0. |
| bottomRight | Bottom Right | Required. Finite number; strictly above 0. |
| supply | Supply | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| outputVoltage | Output Voltage | Required. Finite number. |
| balanced | Balanced | Required. Boolean. |
{
"input": {
"topLeft": 1,
"bottomLeft": 1,
"topRight": 1,
"bottomRight": 3,
"supply": 4
},
"output": {
"outputVoltage": -1,
"balanced": false
}
}Limitations and assumptions
- Use one resistance unit. Exact floating-point product equality has no tolerance and can differ from practical balance; output loading and sensor calibration are omitted.
- 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 the full bridge, sensor and amplifier model for calibration, tolerances, common-mode range and measurement uncertainty.
References
Similar or alternative tools
- Bridge Sensor Common Mode Reference
commonMode = (left+right)/2; differential = left-right; centeredCommonMode = commonMode-reference.
- Voltage Divider Ratio Resistor Sensitivity Tool
Differentiate ideal divider output supply*bottom/(top+bottom) with respect to both resistors.