PHYSICS - ELECTROSTATIC POTENTIAL AND CAPACITANCE - CLASS 12 - ASSIGNMENT 2

 PHYSICS

ASSIGNMENT 2

CLASS 12

ELECTROSTATIC POTENTIAL AND CAPACITANCE

1. Define potential difference and write its SI unit.

2. Define Electric potential and write its SI unit.

3. Derive an expression for the electric potential at a distance r from a point charge q.  What is the nature of this potential?

4. Derive an expression for the potential at a point along the axial line of a short dipole.

5. Derive an expression for the electric potential at any general point at distance r from the centre of a dipole.

6. Show mathematically that the potential at a point on the equatorial line of an electric dipole is zero.

7. Derive an expression for the electric potential at a point due to a group of N point charges.

8. Show that the electric field at any point is equal to the negative of the potential gradient at that point.

9. What is an equipotential surface? Give an example.

10. State and prove the important properties of equipotential surfaces.

11. State and explain the equipotential surfaces for (i) a point charge (ii) two point charges +q and -q separated by a small distance (iii) two point charges +q and +q separated by a small distance and (iv) a uniform electric field.

12. What is meant by electric potential energy of a charge system?

13. Derive an expression for the potential energy of a dipole in a uniform electric field. Discuss the position of stable and unstable equilibrium.

14. What is electrostatic shielding? Mention some of its applications.

15. Define electrical capacitance of a conductor.  On which factors does it depend?

16. Derive an expression for the capacitance of an isolated spherical conductor of radius R.

17. What is a parallel plate capacitor? Derive an expression for its capacitance.  Also mention the factors on which it depends.

 

18. Derive an expression for the equivalent capacitance of the series combination.

19. Derive an expression for the equivalent capacitance of the parallel combination.

20. Give two examples of conservative forces.

21. Can you say that the Earth is an equipotential surface?

22. Why are electric field lines perpendicular at a point on an equipotential surface of a conductor?

23. What is the nature of symmetry of a dipole potential?

24. What are the points at which the electric potential of a dipole has maximum value?

25. Write the dimensional formula of potential difference.

26. Write the SI unit of potential gradient.

27. Is electric potential difference a scalar or vector?

28. What are the points at which the electric potential of a dipole has a minimum value?

29. How much is the electric potential of a charge at a point at infinity?

30.  What is the basic purpose of using a capacitor?

31. What are conductors and insulators?

32. Why are insulators called dielectrics and conductors non electrics?

 

33. Discuss the various free and bound charges present in conductors and insulators.

34. State and prove the electrostatic properties of a conductor.

35. What is a capacitor? Write its SI unit.

36. What are dielectrics? Give examples.

37. Explain the difference in the behaviour of a conductor and a dielectric in the presence of an external electric field.

38. What is the difference between a capacitor and an electric field?

39. Is there any conductor which can take unlimited charge?

40. What is the basic difference between a capacitor and an electric field?

41. For a given potential difference, does a capacitor store more or less charge with a dielectric than it does without a dielectric?

42. Distinguish between polar and non polar dielectrics.

43. An isolated conductor cannot have a large capacitance. Why? 

44. On what factors does the capacitance of a capacitor depend?

45. Define polarization and dielectric constant.