Embibe Experts Solutions for Chapter: Electric Charges and Fields, Exercise 1: chhattisgarh board-2018

Using Gauss's law, derive the expression for electric field intensity due to a uniformly charged solid cylinder at a point that lies outside the cylinder.

Using Gauss's law, derive the expression for electric field intensity due to a uniformly charged solid cylinder at a point that lies inside the cylinder.

Using Gauss's law, derive the expression for electric field intensity due to a uniformly charged solid cylinder at a point that lies on the surface of the cylinder.

Using Gauss's theorem, find this expression for electric field intensity at a distance $r$ from a uniformly charged spherical shell of radius $R$ in the following situations : $r>R$

Using Gauss's theorem, find this expression for electric field intensity at a distance $r$ from a uniformly charged spherical shell of radius $R$ in the following situations : $r=R$

Using Gauss's theorem, find this expression for electric field intensity at a distance $r$ from a uniformly charged spherical shell of radius $R$ in the following situations : $r<R$

What is volume charge density? Write its SI unit. 

Prove that the total electric flux associated with a closed surface is =$\frac{1}{{\epsilon }_0}$ times the total charge present inside the closed surface, where ${\epsilon }_0$ is the permittivity of free space. Write also the name of the theorem. What will be the value of electric flux if the charge lies outside the closed surface?