In the circuit shown, the charge on the $3\mu \mathrm{F}$ capacitor at steady state will be

Under steady state condition

In the circuit shown, the switch is shifted from position $1\to 2$ at $t=0.$ The switch was initially in position $1$ since long time. The graph between charge on capacitor $C$ and time$\text{'}f\text{'}$ is

In the circuit shown, $C_1=1\mu \mathrm{F},C_2=3\mu \mathrm{F}$ in steady state, the energy stored in these capacitors are respectively

Electric current is passing uniformly through a solid cylindrical wire of radius $R$. The current $i$ passing through circular cross-section of radius $r$ measured from the axis of the cylinder $(r<R)$ varies as shown in

The current $i$ through a conductor varies with time $t$ as shown in figure. The average electric current during $t=0$ to $t=10 \mathrm{s}$ will be