Six identical capacitors, each of $1 \mathrm{\mu F}$ are joined in parallel and the combination is put across a battery of e.m.f. $2 \mathrm{V}$. Now, the battery is disconnected and the capacitors are joined in series. The total energy and potential difference across the series combination is

Three condensers of capacities $C_1, C_2$ and $C_3$ are connected in series with a source of e.m.f. $V$. The potentials across the three condensers are in the ratio of

Two capacitors of capacitance $2 \mu \mathrm{F}$ and $3 \mu \mathrm{F}$ are joined in series. The outer plate of the first capacitor is at $1000 \mathrm{V}$ and an outer plate of the second capacitor is earthed (grounded). Now the potential on an inner plate of each capacitor will be

In the figure, three capacitors, each of capacitance $6 p\mathrm{F}$, are connected in series. The total capacitance of the combination will be

When three identical capacitors are connected in series, their equivalent capacitance is $2 \mathrm{\mu F}$. Now they are connected in parallel across a source of e.m.f. $200 \mathrm{V}$. The total energy stored is

In Van de Graaff generator, the process of spraying the charge is called

Artificial transmutation is the process in which

A parallel plate capacitor carries a charge $Q$. If a dielectric slab with dielectric constant $k=2$ is dipped between the plates, then

A cylinder of radius $4 \mathrm{mm}$ and surface density of charge $0.25 \mathrm{\mu C} {\mathrm{m}}^{-2}$ is surrounded by a medium of dielectric constant $6.28$. The magnitude of electric field at a point $2 \mathrm{m}$ away from the axis of the cylinder is