Time constant (τ)Fast circuit (< 1 ms)
0.0001s
Time to charge to 63.2% of supply voltage
Time to reach target %0.0005s
Time to 99% charge0.0005s
Voltage at 1τ5.6891V
Voltage at target %8.91V
Energy stored (at full charge)4,050μJ
▸RC time constant is 100.0 μs; charging to 99% takes 460.5 μs.
- The time constant τ = 100.0 μs means the capacitor reaches 63.2% of 9 V in that time.
- To reach 99% of supply voltage takes 460.5 μs.
- At 5τ (500.0 μs) the voltage is 99.3%, which engineers treat as fully charged.
- The energy stored at full charge is 4.050 mJ (E = ½CV²).
Next stepTo reduce charge time, lower R, lower C, or both. To store more energy, increase C or increase the supply voltage (energy scales with V²).