// multi-utility computation suite · offline · instant · precise
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eng.capacitor-charge Calculator
Calculates capacitor voltage, charge, stored energy, and time to reach a target voltage using the RC circuit charging equation. Capacitor voltage follows V(t) = V₀(1 − e^(−t/RC)) — reaching 99% of supply voltage requires 5 time constants.
Inputs
C
Ability to store electric charge (F). Capacitors charge quickly and release energy fast. Common values: pF to μF.
V
Electric potential difference (V). Drives current through a circuit. Household: 120 V (US) or 230 V (EU/UK).
R
Opposition to current flow (Ω). V = IR. Resistors in series add; in parallel their reciprocals add.
T
Duration of the process. Make sure units match the rate inputs (seconds, minutes, or hours).
Results
time constant τ (ms)
Time for the capacitor (or inductor) to reach 63.2% of its final value. τ = RC. After 5 time constants (~99.3%), the circuit is effectively at steady state.
stored energy (µJ)
Sample size or count used in the calculation.
voltage at t
Electric potential difference between the two terminals (V). In AC systems, quoted as RMS — 230 V mains has a peak of ~325 V.
time to ~100% charge (5τ, ms)
The computed duration or time value.
charge (µC)
Reference formula or conversion factor shown for context.
RC circuit
Reference formula or conversion factor shown for context.