Electric potential for point charge and dipole, potential difference, equipotential surfaces - One Line Questions

1. If V(x) = 5x^2 + 3, what is the electric field component Ex at x=2? -20 V/m
2. The potential energy of an electric dipole (p) in an electric field (E) is given by: -p.E
3. What is the potential difference between two points if the work done to move a charge of 2 C is 4 J? 2 V
4. Consider two point charges +q and -q separated by a distance d. The electric potential at a point far away from the dipole on its axis is proportional to: 1/r^3
5. A charge of +5 microcoulomb is placed at the origin. The electric potential at a point (3, 4) meters from the origin is: 1000 V
6. If the potential at a point is 10 V, and a charge of 5 C is brought from infinity to this point, the work done by the external agent is: 50 J
7. Which of the following is NOT an equipotential surface for a single point charge? A plane passing through the charge
8. Which of the following correctly describes an equipotential surface? A surface where the electric potential is constant.
9. The potential difference between two points is defined as the work done per unit charge in moving a charge from one point to the other. Against the electric field
10. An electric dipole is placed in a uniform external electric field. The net force on the dipole is: Always zero
11. What is the SI unit of electric potential? Volt
12. For a system of charges, the electric potential at a point is the work done per unit charge in bringing the test charge from infinity to that point, assuming all other charges are fixed. This statement is true due to the principle of: Superposition of potentials
13. For a positive point charge, the potential decreases as the distance from the charge: Increases
14. If a charge is moved from a point of lower potential to a point of higher potential, the potential energy of the charge: Increases
15. The electric potential at a point due to a dipole depends on: Distance, angle, and dipole moment
16. The potential difference between two points is related to the electric field E and displacement dr by: dV = -E.dr
17. The relationship between electric field (E) and electric potential (V) is given by: E = -dV/dr
18. If the electric potential at a point is V, and the distance from a point charge q is r, then the electric field E at that point is given by: E = -dV/dr
19. Which of the following is a scalar quantity? Electric potential
20. The locus of points in an electric field where the electric potential is constant is called: Equipotential surface
21. Electric field lines are always perpendicular to: Equipotential surfaces
22. An electric dipole consists of two: Equal and opposite charges separated by a small distance
23. If we move a positive charge against the direction of the electric field, the potential energy: Increases
24. What is the electric potential at infinity from a point charge? Zero
25. Which of the following statements about potential difference is correct? It is the work done per unit charge to move a charge between two points.
26. The electric potential due to an electric dipole on its axial line at a distance 'r' from the center is approximately: kP/r^2
27. What is the potential difference between the center and a point at infinity from a point charge q? kq/r
28. An equipotential surface is a surface where the electric potential is: The same at all points
29. For an electric dipole, the potential at a point on the perpendicular bisector (equatorial line) is: Zero
30. Work done in moving a charge between two points on the same equipotential surface is: Zero
31. Two points A and B are at the same electric potential. If a charge is moved from A to B, the work done by the electric field is: Zero
32. The electric potential at a distance r from a point charge q is V = kq/r. If the charge q is positive, V is: Positive and decreases with r
33. The potential due to a negative point charge at a distance 'r' is: Negative and decreasing with distance
34. Consider a region with a uniform electric field E. The equipotential surfaces in this region are: Parallel planes perpendicular to the field lines
35. For a system of 'n' point charges, the total electric potential at a point is the algebraic sum of the potentials due to individual charges. This is due to the principle of: Superposition
36. If the electric potential decreases as we move away from a positive point charge, it implies: The potential is decreasing
37. The potential difference between two points in an electric field is independent of: The path taken between the points
38. The potential difference between two points in an electric field is defined as: The work done against the field per unit charge.
39. Which of the following statements about equipotential surfaces is INCORRECT? They can intersect each other.
40. If V is the electric potential and q is the charge, the potential energy (U) of the charge is given by: U = qV
41. An equipotential surface is a surface over which the electric potential is: Constant
42. The electric potential at a distance 'r' from a point charge 'q' is given by: V = kq/r
43. For an isolated positive point charge, the electric potential varies with distance 'r' as: V ∝ 1/r
44. The electric potential at a point P due to a point charge q at origin is V. If the charge is doubled and the distance is halved, the new potential will be: 4V
45. The electric potential inside a hollow conducting sphere with a charge on it is: Constant and equal to the potential at the surface
46. The electric potential at a point P is V. If a charge of -q is brought to P from infinity, the work done by an external agent is: -Vq
47. What is the electric potential at the center of an electric dipole? Zero
48. The electric potential due to an electric dipole on its equatorial line at a distance 'r' from the center is: Zero
49. A sphere of radius R has a charge Q uniformly distributed over its surface. The electric potential at any point inside the sphere is: KQ/R
50. If the electric field is zero in a region, then the electric potential in that region must be: Constant