B M Sharma Solutions for Chapter: Capacitor and Capacitance, Exercise 1: DPP

A capacitor is charged by using a battery, which is then disconnected. A dielectric slab is then slipped between the plates, which results in

The capacity and the energy stored in a parallel plate condenser with air between its plates are respectively $C_0$ and $W_0.$ If the air is replaced by glass (dielectric constant$=5$ ) between the plates, the capacity of the plates and the energy stored in it will, respectively, be 

A parallel plate capacitor having a plate separation of $2 \mathrm{mm}$ is charged by connecting it to a $300 \mathrm{V}$ supply. The energy density is

A parallel plate capacitor (without dielectric) is charged by a battery and kept connected to the battery. A dielectric slab of dielectric constant $k$is inserted between the plates, fully occupying the space between the plates. The energy density of electric field between the plates will

An uncharged parallel plate capacitor is connected to a battery. The electric field between the plates is $10 \mathrm{V} {\mathrm{m}}^{-1}$. Now, a dielectric of dielectric constant $2$ is inserted between the plates, filling the entire space. The electric field between the plates now is

$A$and $C$are concentric conducting spherical shells of radius $a$and $c$, respectively. $A$is surrounded by a concentric-dielectric medium of inner radius $a,$outer radius $b$and dielectric constant $k.$If the sphere $A$is given a charge $Q,$the potential at the outer surface of the dielectric is

Two metallic bodies separated by a distance $20 \mathrm{cm}$ are given equal and opposite charges of magnitude $0.88 \mathrm{\mu C}$ . The component of the electric field along the line $\mathrm{AB}$, between the plates, varies as to $E_x=3x^2+0.4 \mathrm{N} {\mathrm{C}}^{-1}$, where $x$ (in meters) is the distance from one body towards the other body as shown.

The plates of a parallel plate capacitor with no dielectric are connected to a voltage source. Now, a dielectric of dielectric constant $K$ is inserted to fill the whole space between the plates with voltage source remaining connected to the capacitor. What will happen?