## Electrostatics - Important Theory Questions

1. Derive an expression for the electric field at a point on the axial position of an electric dipole.

2. Derive an expression for the electric field at a point on the equatorial position of an electric dipole.

3. Describe the Principle, construction and working of Van de Graff generator.

4. Derive an expression for the energy stored in a capacitor. Show that whenever two conductors share charges by bringing them into electrical contact, there is a loss of energy.

5. Derive an expression for the effective capacitance when capacitors are connected in
(a) series and
(b) parallel

6. Explain the principle of a capacitor and derive an expression for the capacitance of a parallel plate capacitor.

7. State Gauss theorem and apply it to find the electric field at a point due to
(a) a line of charge
(b) A plane sheet of charge
(c) A Charged spherical conducting shell

8. State Coulomb's law and express it in vector form. Derive it using Gauss theorem.

9. Derive an expression for the torque on an electric dipole in a uniform electric field.

10. Derive an expression for the work done in rotating an electric dipole in a uniform electric field

11. Derive an expression for the energy stored (Potential Energy) in a dipole in a uniform electric field.

12. Derive an expression for the electrostatic potential energy of a system of point charges

13. Derive an expression for the capacitance of a parallel plate capacitor with
(a) a dielectric slab
(b) a metallic plate in between the plates of the capacitor.

14. Define electric potential at a point. Derive an expression for the electric potential at a point due to
(a) a point charge
(b) a system of point charges
(c) a dipole.

15. Show that the work done in an electric field is independent of path.

16. What are dielectrics? Distinguish polar and nonpolar dielectrics. Define the term Polarization vector.  