Supercapacitor Capacitance Vs Voltage Calculator
Read measured voltage-dependent differential capacitance and integrate C(V)dV for actual charge interval; not constant-capacitance energy, capacitance tempco or inferring differential C from unspecified nominal rating.
Description
Voltage-dependent differential capacitance integrates to delivered charge.
Voltage-dependent differential capacitance integrates to delivered charge. It is not a constant-capacitance energy calculation.1
Enter aligned positive capacitances/nonnegative strictly increasing voltages, at least two points, and ordered nonnegative charging endpoints in range. Interpolate endpoints and trapezoidally integrate the piecewise-linear curve. Return end capacitance and charge; equal endpoints give zero charge.
When to use Supercapacitor Capacitance Vs Voltage Calculator
Use Supercapacitor Capacitance Vs Voltage Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No stored-energy integration, nominal-rating inference or extrapolation is supplied.
Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.
How to use Supercapacitor Capacitance Vs Voltage Calculator and understand its results
- Prepare measured device or circuit evidence with matched frequency, temperature, waveform and calibration conditions. Supply explicit caller ratings and limits.
- Enter observedVoltagesV, observedDifferentialCapacitancesF, chargeStartVoltageV, chargeEndVoltageV using the field table and calculation rules, then run the tool.
- Read interpolatedEndDifferentialCapacitanceF, integratedDeliveredChargeC. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| observedVoltagesV | Observed voltages v | list of number | Required |
| observedDifferentialCapacitancesF | Observed differential capacitances f | list of number | Required |
| chargeStartVoltageV | Charge start voltage v | number | Required |
| chargeEndVoltageV | Charge end voltage v | number | Required |
Enter aligned positive capacitances/nonnegative strictly increasing voltages, at least two points, and ordered nonnegative charging endpoints in range. Interpolate endpoints and trapezoidally integrate the piecewise-linear curve. Return end capacitance and charge; equal endpoints give zero charge.
charge=integral(C(V)dV,start…end) Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| interpolatedEndDifferentialCapacitanceF | Interpolated end differential capacitance f | number |
| integratedDeliveredChargeC | Integrated delivered charge c | number |
{
"input": {
"observedVoltagesV": [
0,
1,
2
],
"observedDifferentialCapacitancesF": [
2,
4,
6
],
"chargeStartVoltageV": 0,
"chargeEndVoltageV": 2
},
"output": {
"interpolatedEndDifferentialCapacitanceF": 6,
"integratedDeliveredChargeC": 8
}
}Limitations and assumptions
No stored-energy integration, nominal-rating inference or extrapolation is supplied.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Supercapacitor Esr Vs Temperature Calculator: Supercapacitor ESR depends on temperature and matched measurement conditions. A calibration curve is preferable to an assumed universal coefficient. For a complementary task, use Fuse Melting Energy Calculator: A fixed-resistance fuse energy model integrates squared current over time. Thermal losses and resistance changes need additional models.
References
Similar or alternative tools
- Supercapacitor Esr Vs Temperature Calculator
Supercapacitor ESR depends on temperature and matched measurement conditions. A calibration curve is preferable to an assumed universal coefficient.
- Fuse Melting Energy Calculator
A fixed-resistance fuse energy model integrates squared current over time. Thermal losses and resistance changes need additional models.