Embibe Experts Solutions for Chapter: Electrostatic Potential and Capacitance, Exercise 1: Exercise

Calculate the energy of charged parallel plate capacitor. Express the energy in terms of electric field. Now calculate the energy density. Can this result be generalised ?

An elementary particle of mass m and charge +e initially at very large distance is projected with velocity v at a much more massive particle +Ze at rest. The closest possible distance of approach of the incident particle is 

What are meant by equipotential surfaces?

A sphere of radius $0.25 \mathrm{m}$ has positive charge $+8.8 \mathrm{\mu C}$ uniformly distributed on its surface. A small pellet of mass $0.075 \mathrm{kg}$ and charge $+2.4 \mathrm{\mu C}$ is directed radially at the sphere. When the pellet is at a distance of 0.75 m from the centre of the sphere its speed is $3.2 \mathrm{m} {\mathrm{s}}^{-1}$.

$\mathrm{a}.$ Determine the distance from the centre of the sphere at which the pellet will stop.

A parallel plate air capacitor has capacitance $10\mu \mathrm{F}.$ It is charged by connecting to a $50 \mathrm{V}$ battery. Then it is disconnected from the battery and the space between the two plates of the capacitor is filled with a material having dielectric constant $5.$ Compare

capacitance,

The space between the plates of a parallel plate capacitor is completely filled in two ways. In the first case, it is filled with a slab of dielectric constant $K$. In the second case, it is filled with two slabs of equal thickness and dielectric constants $K_1$ and $K_2$ respectively as shown in the figure. The capacitance of the capacitor is same in the two cases. Obtain the relationship between $K$, $K_1$ and $K_2$.

Explain the behaviour of dielectrics in an external field.

If electric potential at a point is zero then electric field intensity must be zero.Give reasons with an example.