RC circuit: charge time

τ = R×C: time to N% capacitor charge — timers, delays, filters

Parameters

τ (63.2%)

V(t) after 100 мс: 0.48 В

1.00 с

To 90%
2.30 с
To 99%
4.61 с
5τ (full)
5.00 с

Charge: V(t) = V₀(1−e^(−t/RC)). Practically full at 5τ. For a 1 s delay at C=100 µF you need R≈10 kΩ (τ=1 s → 63% per second).