Electrostatic Potential and Capacitance Mock Test – Class 12 Physics

1. A dielectric is inserted into a capacitor while the capacitor remains connected to a battery. The stored energy in the capacitor increases, although the dielectric is pulled in. The extra stored energy comes from:

2. Identify the properly classified set of quantities.

3. In a diagram, equipotential surfaces are labelled , , and in order from left to right. The field lines should point:

4. Match the parts of a Van de Graaff generator with their main functions.

5. A value is written for a point near a charged body. What does the negative sign show?

6. Two like charges are slowly pushed closer from separation to separation . The external work done in this slow process is:

7. The electrostatic potential at distance from a point charge , taking at infinity, is:

8. Three statements about electrostatic work are given.
I. for motion from to .
II. for slow motion from to .
III. Over a closed path, electrostatic field work is zero.

9. A graph-based summary gives four proportionalities. The correctly matched pair is:

10. Two charged capacitors and are connected in parallel with like plates together. If their initial voltages are and , the final common voltage is:

11. A charged conductor has a non-zero electric field just outside its surface. In electrostatic equilibrium, the field at the surface must be:

12. In a parallel combination of capacitors, the quantity common to all capacitors is:

13. For a capacitor, the three expressions , , and are equivalent because:

14. A hollow conducting shell has no charge inside its cavity and is in electrostatic equilibrium. The electric field inside the empty cavity is:

15. The row that correctly states the relation between equipotential surfaces and electric field is:

16. A slow movement of charge is considered between two points in an electrostatic field. Why is the idea of work useful before introducing detailed formulas?

17. In electrostatics, the symbols , , , and are used with different meanings. The best identification is:

18. The derivation of for a parallel-plate capacitor uses , , and . The correct chain is:

19. The statement that best describes an equipotential surface is:

20. A capacitor has a dielectric slab inserted halfway across its plate area, not halfway through its separation. The correct modelling is:

21. With a point charge fixed at the origin, points and are on opposite sides of the origin, each at distance . The potentials at and are:

22. The potential energy of an electric dipole in a uniform electric field is:

23. A metal sphere in vacuum has radius . Using , its capacitance is nearest to:

24. In a region, the potential is , where is in and are in . A charge moves from to . The work done by the electrostatic field is:

25. Three statements about a Van de Graaff generator are given.
I. Charge delivered to the dome resides on its outer surface.
II. The dome potential rises as more charge is accumulated.
III. The belt must be a good metal conductor for charge transport.

26. A far point on the positive axial side of a dipole has potential at distance . At a far point on the same side at distance , the potential is:

27. Assertion: A capacitor with larger capacitance stores more charge than a smaller capacitor when both have the same potential difference.
Reason: For a capacitor, .

28. A square has charges and at one pair of opposite corners, while the other two opposite corners are empty. At the centre of the square:

29. The definition of electrostatic potential at a point would become physically unreliable if the test charge used were large because:

30. A pair of potential readings is reversed in order. If the work by the field in moving charge from to is , then for movement from to it becomes:

31. During movement from to , a charge goes from to . The work done by the electrostatic field is:

32. The row that correctly compares torque and potential energy of a dipole in a uniform electric field is:

33. The derivation of isolated spherical conductor capacitance starts with . Using , the correct result is:

34. For a negative charge, a higher electric potential corresponds to:

35. The row that correctly compares potential and electric field due to a point charge is:

36. Assertion: At the midpoint of equal and opposite charges, the potential is zero but the electric field is not zero.
Reason: Potential adds algebraically as a scalar, while electric field adds as a vector.

37. The row that correctly compares series and parallel capacitor combinations is:

38. For a dipole made of charges and separated by distance , the dipole moment is:

39. For a point charge fixed at , the equipotential surfaces are:

40. The energy density of the electric field between the plates of a capacitor in vacuum is:

41. A potential function in a region is , where is in and are in . The electric field vector is:

42. Two charges and are fixed at two corners of an equilateral triangle of side . The potential at the third corner is:

43. Use the arrangement described below.

What is the potential at ?

44. For motion of a charge slowly around a closed path in an electrostatic field, its change in potential energy over the complete path is:

45. A circuit component is marked as having a large capacitance. Without going into its construction, this means it can:

46. The row that correctly compares dielectric insertion in two conditions is:

47. With a capacitor connected to a battery while a dielectric slab completely fills the space between the plates, the stored charge:

48. A Van de Graaff generator is mainly used to:

49. Match the work or energy expression with its meaning for movement from to .

50. A compact data record for a capacitor gives , , and then states that and . The charge and energy entries are: