RC Circuit Time Constant Calculator
Calculate the time constant (τ = RC), voltage, and current at any time for an RC circuit during charging or discharging.
Inputs
Ω
F
V
s
Results
Time Constant (τ)
0 s
Discharge Voltage at t
1.84 V
Charging Voltage at t3.16 V
Current at t0 A
Time to 37% (1τ)0 s
Time to 1% (4.6τ)0 s
How to Use This Calculator
- Enter Resistance, Capacitance, and Initial / Supply Voltage.
- Set Time.
- Review Time Constant (τ) and Discharge Voltage at t.
- Use Charging Voltage at t and Current at t (A) to inform your decision.
- Use the chart to visualize the results and explore different scenarios by adjusting inputs.
How the result changes with Resistance
| Resistance | Time Constant (τ) | Discharge Voltage at t |
|---|---|---|
| 100,000,000 | 100 s | 5 V |
| 350,000,000 | 350 s | 5 V |
| 650,000,000 | 650 s | 5 V |
| 900,000,000 | 900 s | 5 V |
What each input means
- Resistance
- Resistance in ohms.
- Capacitance
- Capacitance in farads. 1 μF = 0.000001 F, 1 nF = 1e-9 F.
- Initial / Supply Voltage
- Initial voltage across the capacitor (discharge) or supply voltage (charge).
- Time
- Time at which to evaluate the circuit state.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersResistance = 1000, Capacitance = 0.000001, Initial / Supply Voltage = 5, Time = 0.001 = 4 input(s) provided
- Calculate Time ConstantTime Constant0.001 = 0.001
- Calculate Discharge Voltage at tDischarge Voltage at t1.8394 = 1.8394
- Calculate Charging Voltage at tCharging Voltage at t3.1606 = 3.1606
- Calculate Current at tCurrent at t0.0018394 = 0.0018394
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