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 $r$. If the potential difference between its surface and a point at a distance $3r$ from the centre is$V$, then electric field intensity at a distance $3r$ is:

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

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

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

The electric field intensity outside the charged conducting sphere of radius $‘R’$, placed in a medium of permittivity $\epsilon$ at a distance $‘r’$ from the centre of the sphere in terms of surface charge density $\sigma$ is

An electron is moving around an infinite linear charge in a circular path of diameter $0.3 \mathrm{m}$. If linear charge density is ${10}^{-6} \mathrm{C}/\mathrm{m}$ and the speed of the electron is written as$n\times {10}^7 \mathrm{m}/\mathrm{s}$, then find $n$ accurate up to two digits after the decimal point. ($m_e=9\times {10}^{-31} \mathrm{kg}$, $e=1.6\times {10}^{-19} \mathrm{C}$)

A metal sphere of radius $1 \mathrm{cm}$ is charged with $3.14 \mathrm{\mu C}$. Find the electric intensity at a distance of $1 \mathrm{m}$ from the centre of the metal sphere.

A long cylinder of radius $2 \mathrm{cm}$ carries a charge of $5 \frac{\mathrm{\mu C}}{\mathrm{m}}$ kept in a medium of dielectric constant $10$. Find the electric field intensity at a point situated at a distance of $1 \mathrm{m}$ from the axis of cylinder.

$\mathrm{A}$ solid conducting sphere of radius $20 \mathrm{cm}$ is enclosed by a thin metallic shell of radius $40 \mathrm{cm}.$ $\mathrm{A}$ charge of $40 \mathrm{\mu C}$ 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 $r_1$ and $r_2$ have equal surface charge densities. The ratio of their charges is ___.

The radii of two conducting spheres are $a$ and $b$. 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.