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RC capacitor charging

Switch on the supply and watch the current decay as the capacitor voltage rises.

U꜀ = U(1 − e⁻ᵗ/ᴿᶜ) I = (U/R)e⁻ᵗ/ᴿᶜSenior high physics
Blue dots: conventional current direction
t = 0.00 s
Speed
Time constant4.00s
Capacitor voltage0.00V
Charging current0.300mA

Capacitor and resistor voltages

6.03.00.00.05.010.015.020.0U (V)t (s)● Capacitor voltage● Resistor voltage

The two voltages always add up to the source voltage; recharges automatically after 5τ.

Think about it

With the capacitance unchanged, if the resistance is increased to 2 times its original value, how do the initial current and the charging time change?

Model assumptionsIdeal DC source, resistor and capacitor · Initially uncharged · Wire resistance neglected · Recharges automatically after 5τ

Data log

Set the parameters and click “Record data”. Record several rows with different parameters to plot their relationship and fit a straight line; pause and record at different times to study how a reading changes with time.

How to use the lab

  1. Choose an experimentBrowse the catalog on the left by level or topic, or search for a concept.
  2. Change a parameterDrag a slider or type a value in range. The experiment restarts from its initial state right away.
  3. Slow down and observePause, change the speed, drag to look from another angle in 3D, and use the readings and graph to understand what changes.
  4. Test your ideasRead the explanation and the model assumptions, then answer the question under “Think about it”.