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Capacitor Charge Sharing Dissipation Tool

Return ideal charge-sharing energy loss and final voltage for like-polarity parallel connection; parasitic dynamics are excluded.

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Description

finalVoltage is their capacitance-weighted initial voltage; dissipatedEnergy = 0.5*C1*C2/(C1+C2)*(firstVoltage-secondVoltage)².

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.

finalVoltage is their capacitance-weighted initial voltage; dissipatedEnergy = 0.5*C1*C2/(C1+C2)*(firstVoltage-secondVoltage)².

When to use this tool

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

How to use the tool and how it works

  1. Enter firstCapacitance, secondCapacitance, firstVoltage, secondVoltage. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read dissipatedEnergy, finalVoltage. Use the output convention below.

Require positive firstCapacitance and secondCapacitance. finalVoltage is their capacitance-weighted initial voltage; dissipatedEnergy = 0.5*C1*C2/(C1+C2)*(firstVoltage-secondVoltage)².1

Input fieldMeaning and unitsAccepted input
firstCapacitanceFirst CapacitanceRequired. Finite number; strictly above 0.
secondCapacitanceSecond CapacitanceRequired. Finite number; strictly above 0.
firstVoltageFirst VoltageRequired. Finite number.
secondVoltageSecond VoltageRequired. Finite number.
Output fieldInterpretationReturned shape
dissipatedEnergyDissipated EnergyRequired. Finite number.
finalVoltageFinal VoltageRequired. Finite number.
json
{
  "input": {
    "firstCapacitance": 2,
    "secondCapacitance": 2,
    "firstVoltage": 6,
    "secondVoltage": 2
  },
  "output": {
    "dissipatedEnergy": 8,
    "finalVoltage": 4
  }
}

Limitations and assumptions

  • Use matching voltage polarity and capacitance units. This ideal charge-sharing loss does not resolve where energy is dissipated, connection transients or safe switching.
  • 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

  1. Calculation and input contract: electricity/capacitor-charge-sharing-dissipation — tool.io

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