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RC Charging Curve

A capacitor charging through a resistor — the classic exponential, plotted on the scope.

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rc-charging.circuit transient analysis
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How it works

When a capacitor charges through a resistor it follows Vc(t) = Vs (1 − e^(−t/RC)). The time constant τ = R × C sets the pace: after one τ the capacitor reaches 63% of the supply, and after five τ it is essentially full.

Here R = 10 kΩ and C = 10 µF give τ = 100 ms. Run the transient analysis and the voltage probe traces the charging curve on the oscilloscope in real time.