$C_1=3 \mathrm{\mu F}, C_2=6 \mathrm{\mu F} \mathrm{and} C_3=2 \mathrm{\mu F}$. If a potential difference of $48 \mathrm{V}$ is applied across points $a$ and $b$, then charge on the capacitor ${\mathrm{C}}_3$ at steady state condition will be 

The $V$ versus $x$-plot for six identical metal plates of cross-sectional area $A$ is as shown. The equivalent capacitance between $2$ and $5$ is (adjacent plates are placed at a separation $d$) 

Each edge of the cube contains a capacitance $C$. The equivalent capacitance between the points $A$ and $B$ will be 

The potential difference between the points $P$ and $Q$ in the adjoining circuit will be

$n$ resistances each of resistance $R$ are joined with capacitors of capacity $C$ (each) and a battery of emf $E$ as shown in the figure. In steady state condition, ratio of charge stored in the first and last capacitor is:

A parallel plate capacitor without any dielectric has capacitance $C_0$. A dielectric slab is made up of two dielectric slabs of dielectric constants $k$ and $2k$ and is of same dimensions as that of capacitor plates and both the parts are of equal dimensions arranged serially as shown. If this dielectric slab is introduced (dielectric $k$ enters first) in between the plates at a constant speed $V$, then a variation of capacitance with time will be best represented by:

An isolated metallic object is charged in vacuum to a potential $V_0$ using a suitable source, its electrostatic energy being $W_0$. It is then disconnected from the source and immersed in a large volume of dielectric with dielectric constant $K$. The electrostatic energy of the sphere in the dielectric is:

Consider a parallel plate capacitor. When half of the space between the plates is filled with some dielectric material of dielectric constant K as shown in $\mathrm{Figure} \left(1\right)$ below, the capacitance is $C_1$. However, if the same dielectric material fills half the space as shown in $\mathrm{Figure} \left(2\right)$, the capacitance is $C_2$. Therefore, the ratio $C_1:C_2$ is