List of top Physics Questions on Gauss’s Law

State Gauss's law in electrostatics. On the basis of it, obtain the formula for the electric field produced due to a plane charged plate.
Write the unit of electric flux.
Compute the electric flux linked with a surface \( \vec{A} = 2 \hat{j} \, \text{m}^2 \), placed in a uniform electric field \( \vec{E} = (4 \hat{i} + 3 \hat{j}) \, \text{V/m \).}
Obtain the formula for the intensity of electric field outside a charged thin spherical shell with the help of Gauss' law.
n electric dipoles are placed inside a closed surface. Total electric flux linked with the closed surface will be:
Write Gauss's law. Derive the formula for electric field due to a linear charge distribution.
A charge q is placed at the centre of the open end of a cylindrical vessel. The flux of the electric-field through the surface of the vessel is
A plane surface, in the shape of a square of side 1 cm, is placed in an electric field \( \vec{E} = (100 \, \text{N/C}) \hat{i \) such that the unit vector normal to the surface is given by \( \hat{n} = 0.8 \hat{i} + 0.6 \hat{k} \). Find the electric flux through the surface.}
The dipole moment of a molecule is \( 10^{-30} \, \text{Cm} \). It is placed in an electric field \( \vec{E} \) of \( 10^5 \, \text{V/m} \) such that its axis is along the electric field. The direction of \( \vec{E} \) is suddenly changed by \( 60^\circ \) at an instant. Find the change in the potential energy of the dipole, at that instant.

State Gauss's Law in electrostatics. Using it (i) find electric field due to a point source charge \( q \) and (ii) deduce Coulomb's law between source charge \( q \) and test charge \( q_0 \). 
 

The total charge contained within the cube (see figure), in which the electric field is given by \( \vec{E} = K(4x^2 \hat{i} + 3y \hat{j}) \), where \( \varepsilon_0 \) is the permittivity of free space, is: