Capacitor Charge Residual Tool

Description

expectedCharge = capacitance*measuredVoltage; residual = measuredCharge-expectedCharge.

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.

expectedCharge = capacitance*measuredVoltage; residual = measuredCharge-expectedCharge.

When to use this tool

Use Capacitor Charge Residual when checking one ideal storage-state comparison or supplied balance.

How to use the tool and how it works

Enter measuredCharge, capacitance, measuredVoltage. Use the units and conventions below.
Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
Read expectedCharge, residual. Use the output convention below.

Require nonnegative capacitance. expectedCharge = capacitance*measuredVoltage; residual = measuredCharge-expectedCharge.^[1]

Input field	Meaning and units	Accepted input
measuredCharge	Measured Charge	Required. Finite number.
capacitance	Capacitance; use farads with SI electrical inputs.	Required. Finite number; minimum 0.
measuredVoltage	Measured Voltage	Required. Finite number.

Output field	Interpretation	Returned shape
expectedCharge	Expected Charge	Required. Finite number.
residual	Residual	Required. Finite number.

json

{
  "input": {
    "measuredCharge": 12,
    "capacitance": 2,
    "measuredVoltage": 5
  },
  "output": {
    "expectedCharge": 10,
    "residual": 2
  }
}

Limitations and assumptions

Use F, V and C. The constant-capacitance model does not fit a capacitance, quantify uncertainty or establish that a measured device is ideal.
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

Calculation and input contract: electricity/capacitor-charge-residual — tool.io

Similar or alternative tools

Capacitor Charge Step Energy Residual
energyChange = C*(finalVoltage-initialVoltage)*(finalVoltage+initialVoltage)/2; residual = suppliedWork-energyChange.
Capacitor Charge Sharing Dissipation
finalVoltage is their capacitance-weighted initial voltage; dissipatedEnergy = 0.5*C1*C2/(C1+C2)*(firstVoltage-secondVoltage)².