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Physics

RC Circuit Transient Calculator

Analyze capacitor voltage/current over time for RC charge and discharge.

Last validated: 2026-02-14

RC Circuit Transient Calculator models capacitor voltage during charging or discharging through a resistor. An RC circuit contains resistance R and capacitance C, and its characteristic time constant is tau = R*C. After one time constant, a charging capacitor has moved about 63% of the way toward the supply voltage; after about five time constants, it is effectively settled for many practical purposes. During discharge, the voltage falls exponentially rather than linearly, so equal time intervals produce proportional rather than equal voltage drops. This tool is useful for timing circuits, filters, sensor smoothing, and electronics coursework. Real circuits may deviate because of leakage, tolerance, source resistance, load impedance, and nonideal capacitor behavior.

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Input Pattern

Enter values in the left panel, keep units explicit, run the calculation, then copy or share the result. Invalid fields are highlighted immediately.

RC Transient Inputs

Result

Time constant tau: 1.00000000 s

Capacitor voltage at t: 4.721632 V

Resistor current at t: 0.000727837 A

63%%: 1000.000 ms | 90%%: 2302.585 ms | 99%%: 4605.170 ms

k*tautime (ms)Vc (V)
00.00000.000000
0.5500.00004.721632
11000.00007.585447
22000.000010.375977
33000.000011.402555
44000.000011.780212
55000.000011.919145

How to use this tool

  1. Enter Supply voltage (V), Resistance (ohm), Capacitance (uF), Time (ms), Mode for the rc circuit transient calculator, keeping units, dates, or text format consistent with the form labels.
  2. Choose the relevant mode, unit, or option values before running so the output answers the right version of the question.
  3. Click "Run the tool" and review RC Transient Inputs, Result for the primary output.
  4. Verify units and assumptions, especially before using the result for design, lab, or safety-sensitive work.

Worked Example

Auto-generated from the tool's current default or entered inputs.

Example Inputs

  • Voltage supply: 12.0
  • Resistance ohm: 10000.0
  • Capacitance uf: 100.0
  • Time ms: 500.0
  • Mode: charging
  • Tau s: 1.0
  • Capacitor voltage: 4.721632083448399
  • Resistor current a: 0.0007278367916551601

Expected Outputs

  • Voltage supply: 12
  • Resistance ohm: 10000
  • Capacitance uf: 100
  • Time ms: 500

Interpretation

Confidence and limitations

Formula References

Assumptions

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