a) A bar magnet has no magnetic dipole moment. b) Insufficient information is provided. c) Upward.

1. Consider a vertical bar magnet, north end up. What is the direction of the magnetic dipole moment of the bar magnet? a) A bar magnet has no magnetic dipole moment. b) Insufficient information is provided. c) Upward. d) Downward.

2. Does a uniform magnetic field exert a torque on a bar magnet that is in that uniform magnetic field? a) Yes. b) No.

3. Does a uniform magnetic field exert a force on a bar magnet that is in that uniform magnetic field? a) Yes. b) No.

4. Does a uniform magnetic field exert a torque on a magnetic dipole that is in that uniform magnetic field? a) Yes. b) No.

5. Does a uniform magnetic field exert a force on a magnetic dipole that is in that uniform magnetic field? a) Yes. b) No.

6. An electric field is a force-per-charge at every point in space. A magnetic field is a… a) force-per-magnetic-dipole-moment at every point in space. b) torque-per-magnetic-dipole-moment at every point in space. c) torque-per-charge at every point in space.

7. A bar magnet, in a downward-directed magnetic field is aligned so that it points eastward (with the bar magnet, for orientation purposes, treated as an arrow whose head is at the north end of the bar magnet). What is the direction of the torque exerted on the bar magnet by the magnetic field? e) Upward f) Downward g) There is no torque. a) Northwardb) Southwardc) Eastwardd) Westward

8. A bar magnet, in an eastward-directed magnetic field, is aligned so that it points upward (with the bar magnet, for orientation purposes, treated as an arrow whose head is at the north end of the bar magnet). What is the direction of the torque exerted on the bar magnet by the magnetic field? e) Upward f) Downward g) There is no torque. a) Northwardb) Southwardc) Eastwardd) Westward

9. A bar magnet, in an upward-directed magnetic field, is aligned so that it points upward (with the bar magnet, for orientation purposes, treated as an arrow whose head is at the north end of the bar magnet). What is the direction of the torque exerted on the bar magnet by the magnetic field? e) Upward f) Downward g) There is no torque. a) Northwardb) Southwardc) Eastwardd) Westward

10. A particle, in a downward-directed magnetic field is aligned so that its magnetic dipole moment is eastward. What is the direction of the torque exerted on the particle by the magnetic field? a) Northwardb) Southwardc) Eastwardd) Westward e) Upward f) Downward g) There is no torque.

11. What is the direction of the gradient of the gravitational potential energy of a marker in this room? a) Upward. b) Downward. c) None of the above.

12. What is the direction of the gradient of the pressure in a swimming pool? a) Upward. b) Downward. c) None of the above.

13. The earth is in the gravitational field of the sun. What is the direction of the gradient of the gravitational energy of the earth? a) Toward the sun. b) Away from the sun. c) None of the above.

14. A vertical bar magnet, north end up, with magnetic dipole moment is in an eastward-directed uniform magnetic field . What is ? a) 0 b) mB c) -mB d) None of the above.

15. A vertical bar magnet, north end up, with magnetic dipole moment is in an upward-directed uniform magnetic field . What is ? a) 0 b) mB c) -mB d) None of the above.

16. A vertical bar magnet, north end up, with magnetic dipole moment , is in an upward-directed uniform magnetic field . What is the direction of the gradient of ? a) Upward. b) Downward. c) None of the above.

17. A vertical bar magnet, north end up, with magnetic dipole moment , is in an eastward-directed non-uniform magnetic field for which the greater the elevation of the position under consideration, the greater the magnitude of the magnetic field. What is the direction of the gradient of ? a) Upward. b) Downward. c) None of the above.

18. A horizontal bar magnet, north pole to the east, with magnetic dipole moment , is in an eastward-directed non-uniform magnetic field for which the greater the elevation of the position under consideration, the greater the magnitude of the magnetic field. What is the direction of the gradient of ? a) Upward. b) Downward. c) None of the above.

19. A vertical bar magnet, north end up, with magnetic dipole moment , is in an upward-directed non-uniform magnetic field for which the greater the elevation of the position under consideration, the greater the magnitude of the magnetic field. What is the direction of the gradient of ? a) Upward. b) Downward. c) None of the above.