Capacitor Charge Calculator
Calculate RC circuit time constant, capacitor charge/discharge times, and voltage at each time step.
Time Constant (τ = RC)
1000.000 ms
At 1τ: 63.2% charged — At 5τ: 99.3% charged
Charge curve (V = Vs × (1 − e^(−t/τ)))
| Time | Voltage (V) | % Charged |
|---|---|---|
| 0 (0τ) | 0.0000 | 0.0% |
| 1000.000 ms (1τ) | 3.1606 | 63.2% |
| 2.000 s (2τ) | 4.3233 | 86.5% |
| 3.000 s (3τ) | 4.7511 | 95.0% |
| 4.000 s (4τ) | 4.9084 | 98.2% |
| 5.000 s (5τ) | 4.9663 | 99.3% |
How the RC time constant works
In an RC circuit, τ (tau) = R × C is the time constant. The capacitor charges to 63.2% of the supply voltage after 1τ, 86.5% after 2τ, and ~99.3% after 5τ (considered fully charged). The voltage formula is: V(t) = V_supply × (1 − e^(−t/τ)).
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