In the circuit diagram shown in figure,

Four capacitors and a battery are connected as shown in the figure. If the potential difference across the $7 \mathrm{\mu }\mathrm{F}$ capacitor is $6 \mathrm{V}$, then which of the following statement (s) is/are correct?

Find the potential difference between the points $A$ and $B$ and that between $E$ and $F$ of the circuit shown in the figure.

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