Description
Divide acquisitionTime by resistance × capacitance for timeConstants and return exp(-timeConstants) as remainingFraction.
Ideal ADC and DAC models connect digital codes to a reference span and quantization step. Coding, endpoint conventions, and reference behavior determine the meaning of a code-domain term.
Divide acquisitionTime by resistance × capacitance for timeConstants and return exp(-timeConstants) as remainingFraction.
When to use this tool
Use ADC Sampling Capacitor Settling Exponent when you need one explicit converter coding, resolution, or analog-model term.
How to use the tool and how it works
- Enter resistance, capacitance, acquisitionTime. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read remainingFraction, timeConstants. Use the output convention below.
Divide acquisitionTime by resistance × capacitance for timeConstants and return exp(-timeConstants) as remainingFraction.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| resistance | Resistance in ohms for a coherent SI electrical calculation. | Required. Finite number; strictly above 0. |
| capacitance | Capacitance in farads for a coherent SI electrical calculation. | Required. Finite number; strictly above 0. |
| acquisitionTime | Acquisition duration in seconds for coherent SI RC units. | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| remainingFraction | Unsettled fraction exp(-t/RC), dimensionless. | Required. Finite number. |
| timeConstants | Acquisition time divided by the RC time constant, dimensionless. | Required. Finite number. |
{
"input": {
"resistance": 1000,
"capacitance": 0.000001,
"acquisitionTime": 0.001
},
"output": {
"remainingFraction": 0.36787944117144233,
"timeConstants": 1
}
}Limitations and assumptions
- Use seconds, ohms, and farads consistently; this single-pole model omits switching, driver dynamics, parasitics, and noise.
- 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
Compare the ideal term with device transfer curves, noise, calibration, and acquisition requirements.
References
Similar or alternative tools
- ADC Reference Drift Code Sensitivity
Calculate idealCode = maximumCode × inputVoltage / referenceVoltage and referenceDerivative = -idealCode / referenceVoltage.
- ADC Reference Lsb Ratio
Return (firstReference / secondReference) × 2^(secondBits - firstBits) as lsbRatio.