About this lab
Electronic Components · Electrical engineering

Charging and discharging a capacitor

Charging and discharging a capacitor is an interactive experiment in Electronic Components, a free simulation from StudyFi Lab that runs right in your browser.

A capacitor does not charge instantly through a resistor: its voltage rises as u_C = U·(1 − e^(−t/τ)) while the current falls off. The time constant τ = R·C sets the pace — after one τ the capacitor reaches 63 % of the source voltage, and when discharging it drops to 37 %. After about 5τ the process is practically over.

Try this: Let the capacitor charge, then switch to discharge. Double R (10 kΩ → 20 kΩ) and check that τ and the whole process take twice as long.

Frequently asked questions

What does the “Charging and discharging a capacitor” experiment show?

A capacitor does not charge instantly through a resistor: its voltage rises as u_C = U·(1 − e^(−t/τ)) while the current falls off. The time constant τ = R·C sets the pace — after one τ the capacitor reaches 63 % of the source voltage, and when discharging it drops to 37 %. After about 5τ the process is practically over.

How do I try “Charging and discharging a capacitor”?

Let the capacitor charge, then switch to discharge. Double R (10 kΩ → 20 kΩ) and check that τ and the whole process take twice as long.

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