Question
An uncharged capacitor $C$ is connected in series (with a switch) to a resistor $R_1$ and a voltage source $\Epsilon$. Assume $\Epsilon = 24 \textrm{ V}$, $R_1 = 1.2 \textrm{ k}\Omega$ and $C = 1 \textrm{ mF}$.
1. What will be the current through the circuit as the switch is closed? Draw a circuit diagram and show the direction of current after the switch is closed. How long will it take for the capacitor to be 99% charged?
2. After full charging, this capacitor is connected in series to another resistor, $R_2 = 1 \textrm{ k}\Omega$. What will be the current in the circuit as soon as it’s connected? Draw a circuit diagram and show the direction of current. How long will it take for the capacitor voltage to reach 3.24 V?
1. $I = 0.020 \textrm{ A}$
$t = 5.5 \textrm{ s}$
2. $2.0 \textrm{ s}$
Solution Video