Embibe Experts Solutions for Chapter: Electric Field and Potential, Exercise 1: Odisha Board-2019

An electric charge $+Q$ is uniformly distributed around a thin metallic circular coil of a single turn and of radius $a$. Find the expression for the electric potential at a point on its axis at a distance $x$ from its centre.

An electric charge $Q$ is uniformly distributed around a semicircle of radius $a$. Calculate the electric potential at the centre of this semicircle.

Derive Coulomb's law from Gauss' law in electrostatics.

What is an electric dipole? Derive an expression for the electric field intensity at a point on the axis of the dipole.

Two points in an electric field have a potential difference of $5 \mathrm{V}$. What is the amount of work done in moving a charge of $3 \mathrm{C}$ from one point to the other? (Write the answer only)

Calculate the dimensional formula of electric potential.

Define equipotential surface. Mention the angle between equipotential surface and the lines of force on this surface.

A region in an electric field is specified by the following potential:

$V\left(x\right)=\frac{a}{x}+b$

Where $V$ is in volt and $x$ is in meter. Find out the units of $a$ and $b$.