1. M AGNETISM – P ART 3

2. C ALENDAR Monday – Recorded Lecture. Today – Brief review of the material + a few problems. Today, Friday we will continue with chapter 20 materials. There will be a Quiz on Magnetism on Friday. 2 Magnetism

3. A BOUT THOSE EXAMS - Grades look pretty bad. I will review on Friday after I have a look at the papers. Each exam (both sections) had similar problems. A Kirchoff Law Problem – simple A combine either capacitors or resistors and calculate what was happening at one of them. A problem involving polarization – a thinker. A question on how much energy was required to bring three charges together. 3 Magnetism

4. T HESE WERE THE HINTS I GAVE YOU ! Anything in the three chapters is fair game. Read the sections on charge and charge effects very carefully. We didn’t cover some of this in class. (Problem 2) Know the difference between Potential and Potential energy. Know how much work it takes to create a charge distribution. We did it in class. (Problem 1) Know how to add capacitors and resistors and how to solve simple circuit problems. (Problem 3) There WILL be a Kirchhoff's Law problem. (Problem 4) Coulomb’s Law and the addition of forces. Calculation of the potential (scalar) Be sure to understand all of the HW problems that were assigned – or not assigned! 4 Magnetism

5. 5 The force is perpendicular to the direction of motion. The force has a constant magnitude = Bqv This will produce circular motion as in PHY2053. Magnetism

6. 6

7. L OOK AT THE DIRECTION OF THE FORCE AND THE VELOCITY Magnetism 7

8. 8

9. 9

10. O FF A NGLE Magnetism 10 P

11. PROBLEM 11 An electron at point A in the figure has a speed v 0 of 1.4 x 10 6 m/s. Find (a)the magnitude and direction of the magnetic field that will cause the electron to follow the semicircular path from A to B and (b) the time required for the electron to move from A to B. (c)What magnetic field would be needed if the particle were a proton instead of an electron? m=9.1E-31 Kg e=1.6E-19 C Magnetism

12. F ORCE ON A W IRE C ARRYING A C URRENT IN A B F IELD

13. 13 A straight vertical wire carries a current of 1.20 A downward in a region between the poles of a large electromagnet where the field strength is 0.588 T and is horizontal. What are the magnitude and direction of the magnetic force on a 1.00 cm section of this wire if the magnetic-field direction is (a)toward the east, (b) toward the south Magnetism

14. Novel applications have been devised to make use of the force that a magnetic field exerts on a conductor carrying current. Magnetism 14

15. Magnetism 15 C URRENT L OOP Loop will tend to rotate due to the torque the field applies to the loop. What is force on the ends??

16. Magnetism 16 T HE L OOP (F ROM THE TOP ) pivot OBSERVATION Force on Side 2 is out of the paper and that on the opposite side is into the paper. No net force tending to rotate the loop due to either of these forces. The net force on the loop is also zero,

17. Magnetism 17 T HE OTHER SIDES  1 =F 1 (b/2)Sin(  ) =(B i a) x (b/2)Sin(  ) total torque on the loop is: 2  1 Total torque:  =(iaB) bSin(  ) =iABSin(  ) (A=Area)

18. A PPLICATION : T HE MOTOR If the conductor is a loop, the torque can create an electric motor.

19. Magnetism 19

20. Magnetism 20

21. Magnetism 21

22. 22 A circular coil of wire 8.6 cm in diameter has 15 turns and carries a current of 2.7 A. The coil is in a region where the magnetic field is 0.56 T. What orientation of the coil gives the maximum torque on the coil. What is this maximum torque? Magnetism

23. 23 A NOTHER A PPLICATION T HE G ALVANOMETER

24. C URRENTS C AUSE M AGNETIC F IELDS Magnetism 24

25. M AGNETIC FIELD OF LONG STRAIGHT CONDUCTOR – Placed over a compass, the wire would cause the compass needle to deflect. This was the classic demonstration done by Oersted as he demonstrated the effect. Magnetism 25

26. R ESULT Magnetism 26 r

27. Magnetism 27 F ORCE B ETWEEN T WO C URRENT C ARRYING C ONDUCTORS First wire produces a magnetic field at the second wire position. The second wire therefore feels a force = Bi l

28. T WO W IRES Magnetism 28

29. C URRENTS IN A LOOP – Magnetism 29

30. F IELD OF A C URRENT L OOP Magnetism 30 N turns of wire

31. Magnetism 31

32. S OLONOID Magnetism 32 B=~0 outside

33. T HE SOLENOID – Magnetism 33 B=0 outside

34. Magnetism 34