Torque on a dipole in a uniform electric field, electric flux, Gauss law and applications - Question Bank
1. If an electric field is uniform, the net flux through any closed surface entirely within that field, enclosing no charge, is:
2. A dipole is in unstable equilibrium if its potential energy is:
3. The net electric flux through a closed surface is given by Gauss's Law: Φ = Q_enclosed / ε₀. If the enclosed charge is positive, the flux is:
4. If a dipole moment p is rotated by 180 degrees in a uniform electric field E, the change in potential energy is:
5. What is the magnitude of the electric field inside a uniformly charged solid conducting sphere?
6. The stable equilibrium position of an electric dipole in a uniform electric field is when the angle between the dipole moment and the electric field is:
7. Consider a Gaussian surface enclosing a net charge Q. If another charge q is brought near the surface but outside it, the net flux through the surface:
8. Electric flux is proportional to the number of electric field lines passing through a surface. If the surface area is doubled while keeping the field constant and perpendicular, the flux:
9. The torque on a dipole in a uniform electric field is zero when the dipole moment is:
10. Gauss's Law is not generally useful for calculating the electric field of:
11. If the electric field lines are diverging from a closed surface, the net flux is:
12. The dipole moment vector points from the negative charge towards the positive charge. In a uniform electric field, the dipole tends to align itself:
13. Application of Gauss's Law: The electric field outside an infinitely long charged cylinder with radius R and linear charge density λ at a distance r > R is:
14. What is the electric flux through a closed surface if it contains an electric dipole?
15. If a dipole is in equilibrium in a uniform electric field, the net torque on it is:
16. The unit of electric flux, Vm, is equivalent to:
17. When is the potential energy of a dipole in a uniform electric field equal to zero?
18. Gauss's Law can be used to find the electric field due to a point charge q at a distance r by choosing a Gaussian surface as:
19. For a dipole aligned perpendicular to a uniform electric field, the torque is:
20. The magnitude of the electric field at the surface of a conductor carrying a surface charge density σ is:
21. If a closed surface is placed in a non-uniform electric field, the net electric flux through the surface is zero if:
22. The work done in rotating a dipole from an angle θ₁ to θ₂ in a uniform electric field E is given by:
23. Which quantity is conserved in any process involving electric charges, according to Gauss's Law?
24. A dipole is in unstable equilibrium in a uniform electric field when its dipole moment is:
25. The net flux through a closed surface is zero. This implies that:
26. What is the magnitude of the electric field at a distance r from an infinite plane sheet of charge with uniform surface charge density σ, according to Gauss's Law?
27. If the electric field is parallel to the area vector of a surface, the electric flux is:
28. The direction of the dipole moment is from the negative charge to the:
29. Application of Gauss's Law: The electric field inside a uniformly charged spherical shell of radius R is:
30. For a dipole aligned anti-parallel to a uniform electric field, the torque is:
31. What is the electric flux through a closed surface that encloses no net charge?
32. If an electric field line enters a closed surface, it contributes:
33. The potential energy of an electric dipole of dipole moment p in a uniform electric field E is given by:
34. Gauss's Law is particularly useful for calculating the electric field of charge distributions with:
35. What is the net torque on an electric dipole in a uniform electric field when it is in stable equilibrium?
36. Consider a point charge q enclosed within a sphere. If the radius of the sphere is doubled, how does the electric flux through the sphere change?
37. Electric flux is defined as the integral of the electric field over a surface: Φ = ∫ E ⋅ dA. If the electric field is uniform and perpendicular to a flat surface of area A, the flux is:
38. The orientation of a dipole with minimum potential energy in a uniform electric field is when the dipole moment is:
39. What is the magnitude of the electric field at a distance r from an infinitely long charged wire with linear charge density λ, according to Gauss's Law?
40. If a dipole is placed in a non-uniform electric field, the net force on the dipole is generally:
41. An electric dipole consists of two equal and opposite charges, +q and -q, separated by a distance 2a. If the dipole moment is p, what is its magnitude?
42. Which of the following statements is INCORRECT regarding electric flux?
43. Gauss's Law is a direct consequence of:
44. What is the condition for minimum torque on a dipole in a uniform electric field?
45. Electric flux is a measure of:
46. If the net charge enclosed by a Gaussian surface is zero, then the electric flux through the surface is:
47. Gauss's Law relates the electric flux through a closed surface to:
48. For a dipole placed in a uniform electric field, the torque is maximum when the angle between the dipole moment and the electric field is:
49. A dipole of dipole moment p is placed in a uniform electric field E. What is the torque experienced by the dipole?
50. What is the SI unit of electric flux?