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Calculators/Physics/RC circuit charge & discharge
Physics

RC circuit charge & discharge calculator

How a capacitor charges or discharges through a resistor over time.

What this calculator does

RC circuit charge & discharge works out how a capacitor charges or discharges through a resistor over time. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

Formulaτ = RC; Vcharge(t) = V₀(1−e^(−t/τ)); Vdischarge(t) = V₀e^(−t/τ)

The inputs explained

FieldWhat to enter
Resistance (Ω)A number, measured in Ω. Starts at 1000.
Capacitance (µF)A number, measured in µF. Starts at 1000.
Supply voltage (V)A number, measured in V. Starts at 9.
Elapsed time (s)A number, measured in s. Starts at 1.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with resistance

Every other input is held at the calculator’s starting values while resistance varies. Select any row to load that scenario into the calculator.

How the answer changes with resistance
Resistance (Ω)Time constant (τ)Charging voltage at tDischarging voltage at t
5000.5000 s7.782 V1.218 V
7500.7500 s6.628 V2.372 V
1,0001.000 s5.689 V3.311 V
1,5001.500 s4.379 V4.621 V
2,0002.000 s3.541 V5.459 V
3,0003.000 s2.551 V6.449 V