Electrostatic Potential and Capacitance Mock Test – Class 12 Physics

1. A point is at distances , , and from charges , , and , respectively. The net potential at is, taking :

2. For a dielectric-filled parallel-plate capacitor with plate area , separation , and dielectric constant , its capacitance is:

3. A particle with charge moves from to in a region where . The work done by the electric field is:

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

5. For the same observation point, Case 1 has source charge at distance . Case 2 has source charge at distance . The ratio is:

6. A graph is plotted between far-field dipole potential and for fixed and fixed . The graph should be:

7. A conducting spherical shell of radius is isolated and initially neutral. A charge is placed at the centre of its cavity. Taking , the potential of the shell is:

8. A table describes two capacitors in a parallel combination connected to a source.

The charges and are:

9. For a slow movement of charge from to , if , the sign of is:

10. A comparison table is made for conservative and non-conservative force ideas at a basic level. The row supported for an electrostatic force is:

11. The row that correctly states a property of a conductor in electrostatic equilibrium is:

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

13. A capacitor is charged from a battery of voltage through ordinary connecting wires. The energy supplied by the battery and the energy finally stored in the capacitor are:

14. Three statements about electric dipole potential are listed.
I. The exact potential is obtained by scalar addition of the potentials due to and .
II. In the far field, .
III. On the equatorial line, , but the electric field need not be zero.

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

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

17. The electrostatic potential energy of a system of point charges is found by:

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

19. The row that gives the proper potential contribution at point is:

20. Starting from for a positive point charge, the radial electric field magnitude is obtained as:

21. A network has and capacitors connected in parallel, and this parallel group is connected in series with a capacitor. The equivalent capacitance is:

22. Four equal charges are placed at the corners of a square of side . The total electrostatic potential energy of the system is:

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

24. Three statements about equipotential surfaces are listed.
I. is perpendicular to an equipotential surface.
II. Closer equipotential surfaces indicate a stronger electric field for the same potential difference.
III. A charge moving along an equipotential surface always has maximum change in potential energy.

25. The capacitance of an isolated spherical conductor of radius in vacuum is:

26. If a -versus- graph for a region is a straight line sloping upward from left to right, the direction of the electric field is:

27. Match each arrangement with the potential at the specified point.

28. The capacitance of a conductor or capacitor is best understood as:

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

30. The claim “If is large at a point, then must also be large at that point” is best evaluated as:

31. The most suitable reason for using infinity as for an isolated charge distribution is:

32. A capacitor remains connected to a battery while a dielectric of constant is fully inserted. Which set of changes is correct?

33. If a parallel-plate capacitor of capacitance has its plate separation doubled while plate area and medium remain the same, the new capacitance is:

34. A student uses time constant and AC reactance to solve an electrostatic capacitor network. The best response is:

35. At a point away from a point charge in vacuum, the potential is . What is the source charge? Take .

36. A charged metal dome gives a spark when the electric field in nearby air becomes very large. As a broad electrostatic example, this situation mainly connects:

37. For a potential , where is in and is in , the electric field component is:

38. If a air capacitor is completely filled with a dielectric of constant , its new capacitance is:

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

40. A capacitor has charge and capacitance . If the charge is doubled while remains fixed, the stored energy becomes:

41. Assertion: For an isolated charged capacitor, inserting a dielectric fully reduces the stored energy.
Reason: In the isolated case, remains constant while increases.

42. For a slow movement from to , the relation that correctly connects field work and potential energy is:

43. The work required by an external agent to rotate a dipole slowly from to in a uniform field is:

44. A point charge is placed in a region where the external potential varies as , with . As the charge moves in the -direction, its potential energy:

45. A dielectric is inserted into an isolated capacitor and is pulled in by the electric field. The decrease in stored electrostatic energy mainly appears as:

46. A uniform electric field has magnitude and is directed along . If point is to the right of point , then is:

47. In a parallel-plate capacitor, a dielectric slab of thickness and dielectric constant fills the full plate area but only part of the separation . The effective separation used in the capacitance formula is:

48. A capacitor is disconnected after being charged to . A dielectric is fully inserted, making the capacitance . The new potential difference is:

49. The row that correctly separates mutual potential energy from energy in an external potential is:

50. Three statements about basic electrostatic quantities are given.
I. Potential difference has the unit .
II. Capacitance has the unit .
III. Electric field is measured directly in .
The supported statements are: