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

Consider a particle with charge $q=3.0 \mathrm{nC}$, point $A$ at distance $d_1=2.0 \mathrm{m}$ from $q$ and the point $B$ at distance $d_2=1.0 \mathrm{m}$. If $A$ and $B$ are diametrically opposite to each other as in the figure, (a) what is the electric potential difference $V_{\mathrm{A}}-V_{\mathrm{B}}$? (b) what is the electric potential difference if $A$ and $B$ are located as in the figure (b)?

Show that electric potential at a point $\mathrm{P}$, at a distance $\mathrm{r}$ from a fixed point charge $\mathrm{Q}$ is given by $\mathrm{V}=\frac{1}{4{\mathrm{\pi \epsilon }}_0} \frac{\mathrm{Q}}{\mathrm{r}}$

Explain dielectrics in detail and how an electric field is induced inside a dielectric.

For the given capacitor configuration, find the charges on each capacitor, potential difference across them and energy stored in each capacitor.

A parallel-plate capacitor having plate area $20 {\mathrm{cm}}^2$ and separation between the plates $1.00 \mathrm{mm}$ is connected to a battery of $120 \mathrm{V}$. The plates are pulled apart to increase the separation to $2.0 \mathrm{mm}$
$\left(a\right)$ Calculate the charge flown through the circuit during the process. $\left(b\right)$ How much energy is absorbed by the battery during the process?
$\left(c\right)$ Calculate the stored energy in the electric field before and after the process.
$\left(d\right)$ Using the expression for the force between the plates, find the work done by the person pulling the plates apart.
$\left(e\right)$ Show and justify that no heat is produced during this transfer of charge as the separation is increased.

What is corona discharge?

 Explain in detail how charges are distributed in a conductor, and the principle behind the lightning conductor. 

Explain in detail the construction and working of a Van de Graaff generator.