The time in seconds required to produce a potential difference of $20 \ V$ across a capacitor of $1000 \ \mu F$ when it is charged at a steady rate of $200 \ \mu C/s$ is

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

The capacitor shown in the figure is in a steady state. The energy stored in the capacitor is

In the given circuit diagram,when the current reaches a steady state,the charge on the capacitor of capacitance $C$ will be:

Find the time constant for the given circuit.

$A$ $2\ \mu F$ capacitor and an $R$ resistor are connected in series to a $200\ V$ $DC$ supply. $A$ neon bulb is connected across the capacitor,which glows at $120\ V$. Calculate the value of $R$ so that the bulb glows for $5\ s$ after the switch is closed. (Given: $\log_{10} 2.5 = 0.4$)