Description
energyChange = C*(finalVoltage-initialVoltage)*(finalVoltage+initialVoltage)/2; residual = suppliedWork-energyChange.
Capacitors and inductors store energy under voltage and current conventions, respectively. An ideal endpoint energy difference, charge balance or flux-linkage balance does not determine the transient path or how energy is dissipated.
energyChange = C*(finalVoltage-initialVoltage)*(finalVoltage+initialVoltage)/2; residual = suppliedWork-energyChange.
When to use this tool
Use Capacitor Charge Step Energy Residual when checking one ideal storage-state comparison or supplied balance.
How to use the tool and how it works
- Enter capacitance, initialVoltage, finalVoltage, suppliedWork. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read energyChange, residual. Use the output convention below.
Require positive capacitance. energyChange = C*(finalVoltage-initialVoltage)*(finalVoltage+initialVoltage)/2; residual = suppliedWork-energyChange.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| capacitance | Capacitance; use farads with SI electrical inputs. | Required. Finite number; strictly above 0. |
| initialVoltage | Initial Voltage | Required. Finite number. |
| finalVoltage | Final Voltage | Required. Finite number. |
| suppliedWork | Supplied Work | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| energyChange | Energy Change | Required. Finite number. |
| residual | Residual | Required. Finite number. |
{
"input": {
"capacitance": 2,
"initialVoltage": 1,
"finalVoltage": 3,
"suppliedWork": 10
},
"output": {
"energyChange": 8,
"residual": 2
}
}Limitations and assumptions
- Use F, V and J. The residual is an arithmetic work-minus-storage term, not a determination of heat, conservation validity or the physical switching process.
- 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 complete switching and loss model, with component limits, when analyzing practical connections or energy transfer.
References
Similar or alternative tools
- Capacitor Charge Residual
expectedCharge = capacitance*measuredVoltage; residual = measuredCharge-expectedCharge.
- Electricity: Capacitor Initial Final Energy Delta
initialEnergy = 0.5*C*initialVoltage²; finalEnergy = 0.5*C*finalVoltage²; energyDelta = 0.5*C*(finalVoltage-initialVoltage)*(finalVoltage+initialVoltage).