At a particular point, electric field depends upon

Electric field intensity (E) due to an electric dipole varies with distance (r) of the point from the centre of dipole as:

At a given distance from the centre of electic dipole, field intensity on axial line is k times the field intensity on equatorial line, where K =

What is meant by quantization of charge?

What do you mean by additivity of electric charge?

Is the total charge of the universe conserved?

Give four properties of electric charges.

State superposition principle for electrostatic force on a charge due to a number of charges.

Why do we obtain a neutral point in the space between two like charges ?

A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10^-12F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?

In a parallel plate capacitor with air between the plates, each plate has an area of 6\(\times\)10^-3m² and the distance between the plates is 3 mm. Calculate the capacitance if this capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?

A 600 pF capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor. How much electrostatic energy is lost in the process?

(i) Explain, using suitable diagram,  the  difference in the behaviour of a 
(a) conductor
(b) dielectric in the presence of external electric field. Define the terms polarisation of a dielectric and write its relation with susceptibility.
(ii) A thin metallic spherical shell of radius R carries a charge Q on its surface. A point charge Q/2 is placed at its centre C and an another charge +2Q is placed outside the shell at a distance x from the centre as shown in figure. Find
(a) the force on the charge at the centre of the shell and at point A,
(b) the electric flux through the shell.

Two metal spheres, one of radius R and the other of radius 2R, both have same surface charge density \(\sigma \). They are brought in contact and separated. What will be new surface charge densities on them?