Embibe Experts Solutions for Chapter: Electric Charges and Fields, Exercise 1: Exercise

An electric dipole is formed by two charges $q$ and $-q$ placed at the two ends of an insulating rod of length $d$ and negligible mass. Write down the dipole moment. Is it a vector or a scalar? The dipole is then placed in a uniform electric field and is given a small angular displacement $\mathrm{\theta }$ from its equilibrium position. What are the total force and torque acting on it?

 Derive an expression for the electric field at any point on the equatorial line of an electric dipole.

A shower of protons from outer space deposits equal $+q$ charge on the earth and the moon and the electrostatic repulsion then exactly counterbalances the gravitational attraction. How large is $q$ ?

Two fixed point charge $+4e$ and $+e$ are separated by a distance $\text{'}a\text{'}$. Where should the third point charge be placed for it to be in equilibrium.

Define dielectric constant. What do you mean by the statement - dielectric constant of mica is $6$?

The mutual force of repulsion between two point charge having fixed distance between them is $9$ Dyne in vacuum and $4$ Dyne in a dielectric medium. What is the dielectric constant of the medium.

What is electric flux? What is its unit? What is electric flux density?

There are four charges, each with a magnitude $Q$. Two are positive and two are negative. The charges are fixed to the corners of a square of side $\text{'}L\text{'}$, one to each corner, in such a way that the force on any charge is directed toward the center of the square. Find the magnitude of the net electric force experienced by any charge?

Two identical conducting spheres, having charges of opposite sign attract each other with a force of $0.108 \mathrm{N},$ when separated by $0.5 \mathrm{m}$. The spheres are now connected by a conducting wire. When the wire is removed, spheres repel each other with a force of $0.036 \mathrm{N}$. What were the initial charges on the spheres?