Gauss’s Law
Gauss’s Law: Overview
This topic covers concepts, such as Area Vector, Electric Flux, Electric Flux from a Surface Due to Point Charges, Electric Flux from a Surface in Electric Field, Gauss Theorem in Electrostatics, Condition for the Validity of Gauss Theorem, etc.
Important Questions on Gauss’s Law

Which law is used to derive the expression for the electric field between two uniformly charged large parallel sheets with surface charge densities and respectively:

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

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:

A charge is distributed uniformly in a sphere (solid). Then the electric field at any point , where ( is radius of sphere) varies as_____.

Two infinitely long parallel conducting plates having surface charge densities and respectively are separated by a small distance. The medium between the plates is vacuum, if is dielectric permittivity of vacuum, then the electric field in the region between the plates is-

A cylinder of radius and length is placed in a uniform electric field parallel to the cylinder axis. The total flux for the surface of the cylinder is given by


Assertion: Gauss's law can't be used to calculate electric field near an electric dipole.
Reason: Electric dipole don't have symmetrical charge distribution.

Area vector is a vector quantity associated with each plane figure whose magnitude is

The total flux through the faces of the cube with side of length if a charge is placed at corner of the cube is

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

A Gaussian sphere encloses an electric dipole within it. The total flux through the sphere is

Flux coming out from a unit positive charge enclosed in air is

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

A hollow cylinder has a charge at the middle point of it. If is the electric flux in units of volt metre associated with the curved surface , the flux linked with the plane surface in a unit of volt metre will be


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

Obtain an expression for electric field intensity at a point outside infinitely long charged conducting cylinder.

A square in a horizontal orientation is situated in a uniform horizontal electric field such that a line drawn in the plane of square makes angle of with electric field. If side of square is then flux through the square will be
