Two plates of a parallel plate capacitor carry charges $q$ and $-q$ and are separated by a distance $x$ from each other. The capacitor is connected to a constant voltage source $V_0$. The distance between the plates is changed to $x+dx$. Then in steady-state

Three identical parallel conducting plates $A, B$ and $C$ are placed as shown. Switches $S_1$ and $S_2$ are open, and can connect $A$ and $C$ to earth when closed. $+Q$ charge is given to $B$.

In figure, half of the space between the plates of a parallel plate capacitor is filled with dielectric material of constant $K$. Then which of the plots are possible?

Four identical metallic plates $(1, 2, 3$ and $4)$ are arranged in air at same distance $d$ from each other with their outer plates being connected together and earthed. If the plates $2$ and $3$ are connected with a cell of constant emf $E$, then ratio of electric fields between the plates and variation of electric potential will be

Figure shows a capacitor having three layers between its plates. Layer $x$ is vacuum, $y$ is conductor, and $z$ is a dielectric. Which of the following change(s) will result in increase in capacitance?

Rows of capacitors containing $1,2,4,8,...,\mathrm{\infty }$ capacitors, each capacitance $2 \mu \mathrm{F}$, are connected in parallel as shown in the figure. The potential difference across $AB$ is $10 \mathrm{V}$, then