Electrostatics- 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 ex