When a capacitor is connected to a battery,

The following circuit consists of a $5 \,\mu F$ capacitor,having a charge of $50 \,\mu C$ as shown. The switch is closed at $t=0$. The value of the current in the $2 \,M \Omega$ resistor at $t=0$ is ........... $\mu A$.

$A$ capacitor of capacitance $C = 10 \, \mu F$ is connected to a battery of emf $\varepsilon = 2 \, V$ through a resistor $R$. It is observed that it takes $t = 50 \, ms$ for the charge on the capacitor to reach $q = 12.6 \, \mu C$. Calculate the resistance $R$ of the circuit in $k \Omega$. (Take $1/e \approx 0.37$)

The capacitance of $C_1$ and $C_2$ shown in the diagram is $C$. $C_1$ is initially uncharged and $C_2$ is given a charge $2C\varepsilon$ as shown. Which of the following graph represents charge on plate $B$ of capacitor $C_2$ as a function of time?

In the given circuit,switch $S$ is closed at $t = 0$. The current $I$ in the figure at time $t$ is

Find the charge on the capacitor $C$ in the following circuit in $\mu C$.