Using Gauss' law, obtain the electric flux due to a point charge q enclosed in a cube of side a.

Using Gauss' law deduce the expression for the electric field due to a uniformly charge spherical conducting shell of radius R at a point (i) outside the shell.

Using Gauss' law deduce the expression for the electric field due to a uniformly charge spherical conducting shell of radius R at a point (ii) inside the shell.

Use Gauss' theorem to find the electric field due to a uniformly charged infinitely large plane thin sheet with surface charge density sigma .

Use Gauss's law to obtain an expression for the electric field due to an infinitely long straight uniformly charged wire.

In vacuum (i) find out the electric flux across an area vec S = 10 hatj placed in an electric field vec E = 2 hati + 4 hatj + 7 hatk , (ii) How many electric charges are to be placed at a point such that 4400 number of electric lines of forces with emerge from that point ? (iii) What will be the electric flux through any one of the faces of a cube of side 10 cm if a charge of 1 esu is placed at the centre of the cube ?

Two points having charges q_(1) and q_(2) are placed at the coordinates (a, 0, 0) and (0, b, 0) respectively. Find out the electric field intensity of a third point charge placed at (0, 0, c) due to those two charges.

Define electric potential. Determine the electric potential at a distance r from a point charge q placed in vacuum. What would be the change in the potential if the charge is placed in a medium of dielectric constant k?

Use Gauss' law to derive the expression for the electric field (vecE) due to a straight uniformly charged infinite line of charge density lambda C cdot m^(-1) .

Two charges of magnitudes -2Q and +Q are located at points (a, 0) and (4a, 0) respectively. What is the electric flux due to these charges through a sphere of radius 3a with its centre at the origin?