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Engineering

RC time constant and capacitor charging

Calculate capacitor voltage, charging current and the time constant after an ideal RC circuit is switched on.

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01

Your inputs

The starting values are an example.

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02

Your result

Enter your values and select Calculate.

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Your result will include the relevant values and units.

Understand the calculation

Formula and example

How it is calculated

τ = R × C; U꜀(t) = U × (1 − e^(−t/τ)); I(t) = (U/R) × e^(−t/τ)

Worked example

10 kΩ and 100 µF give τ = 1 s. After 1 s, the capacitor reaches approximately 3.1606 V with a 5 V supply.

Things to check

  • After one time constant, the voltage is approximately 63.2% of its final value.
  • The capacitor starts uncharged. The source supplies a constant DC voltage.

Sources and references