Applications of Gauss' Law
Applications of Gauss' Law: Overview
This topic covers concepts such as Electric Field due to a Charged Sphere Using Gauss's Law, Gaussian Surfaces for Various Charge Distribution, Electric Field due to a Charged Spherical Shell Using Gauss's Law, etc.
Important Questions on Applications of Gauss' Law
Applying Gauss theorem, the expression for the electric field intensity at a point due to an infinitely long, thin, uniformly charged straight wire is

How do you find the non uniform electric field?

What is electric field outside a uniform spherical charge?

What is a non-uniformly charged sphere?

What is the electric field inside a uniformly charged hollow cylinder?

What is a non-uniformly charged sphere?

What is the electric field inside a charged sphere?

Can electric field inside a conductor be non zero?

A hollow charged metal sphere has radius . If the potential difference between its surface and a point at a distance from the centre is, then electric field intensity at a distance is:

In the figure shown, there is a large sheet of charge of uniform surface charge density . A charge particle of charge and mass is projected from a point on the sheet with a speed with angle of projection such that it lands at maximum distance from on the sheet. Neglecting gravity, find the time of flight.

A conducting spherical shell of radius has a charge units. The electric field due to the shell at a point

A conducting spherical shell of radius has a charge units. The electric field due to the shell at a point

The electric field intensity outside the charged conducting sphere of radius , placed in a medium of permittivity at a distance from the centre of the sphere in terms of surface charge density is

An electron is moving around an infinite linear charge in a circular path of diameter . If linear charge density is and the speed of the electron is written as, then find accurate up to two digits after the decimal point. (, )

A metal sphere of radius is charged with . Find the electric intensity at a distance of from the centre of the metal sphere.

A long cylinder of radius carries a charge of kept in a medium of dielectric constant . Find the electric field intensity at a point situated at a distance of from the axis of cylinder.

solid conducting sphere of radius is enclosed by a thin metallic shell of radius charge of is given to the inner sphere. If the metallic shell is earthed, then the heat generated in the process is

Two conducting spheres of radii and have equal surface charge densities. The ratio of their charges is ___.

The radii of two conducting spheres are and . When these are given same surface charge density the ratio of electric field intensities at their surfaces is

Derive an expression for electric field intensity at a point close and outside the surface of charged conductor of any shape.
