Two capacitors $C_1$ and $C_2=2C_1$ are connected in a circuit with a switch between them as shown in the figure. Initially, the switch is open and $C_1$ holds charge $Q .$ The switch is closed. At steady state, the charge on each capacitor will be

Five identical plates each of area $A$ are joined as shown in the figure. The distance between the plates is $d$. The plates are connected to a potential difference of $V$ volt. The charge on plates $1$ and $4$ will be

In the figure shown, what is the potential difference between the points $A$ and $B$ and between $B$ and $C$ respectively in steady state

In the given circuit, if point $C$ is connected to the earth and a potential of $+2000 \mathrm{V}$ is given to the point $A,$ the potential at $B$ is

A network of four capacitors of capacity equal to $C_1=C$, $C_2=2C,C_3=3C$ and $C_4=4C$ are connected to in a battery as shown in the figure. The ratio of the charges on $C_2$ and $C_4$ is

In figure two positive charges $q_2$ and $q_3$ fixed along the $y$ -axis, exert a net electric force in the $+x$ -direction on a charge $q_1$ fixed along the $x$ -axis. If a positive charge $Q$ is added at $(x, 0)$, the force on $q_1$