The charge on a capacitor of capacitance $10\,\mu F$ connected as shown in the figure is.......$\mu C$

The capacitor $C$ is initially without charge. $X$ is now joined to $Y$ for a long time,during which $H_1$ heat is produced in the resistance $R$. The $X-Y$ connection is removed and $X$ is now joined to $Z$ for a long time,during which heat $H_2$ is produced in $R$.

Find the current from the battery at $(i)$ $t \rightarrow 0$ (initial) and $(ii)$ $t \rightarrow \infty$ (after a long time) when the switch is closed at $t = 0$.

The circuit shown has been connected for a long time. The voltage across the capacitor is ............. $V$.

In the given figure,find the charge on the capacitor of capacitance $C$.

Which of the following is a possible application of an $RC$ circuit?