1. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley PowerPoint ® Lectures for University Physics, Twelfth Edition – Hugh D. Young and Roger A. Freedman Lectures by James Pazun Chapter 28 Sources of Magnetic Field

2. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Goals for Chapter 28 To study the magnetic field generated by a moving charge To consider magnetic field of a current-carrying conductor To examine the magnetic field of a long, straight, current-carrying conductor To study the magnetic force between current- carrying conductors To consider the magnetic field of a current loop To examine and use Ampere’s Law

3. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Introduction Normally, when someone describes a solenoid, they are likely to use a doorbell or car-starter as their example. In the photo at right, scientists at CERN are using the most powerful magnetic field ever proposed.

4. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley The magnetic field of a moving charge A moving charge will generate a magnetic field relative to the velocity of the charge. See Figure 28.1 at right.

5. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Moving charges—field lines The moving charge will generate field lines in circles around the charge in planes perpendicular to the line of motion. Follow Example 28.1. Refer to Figure 28.2.

6. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Magnetic field of a current element The magnetic field of several moving charges will be the vector sum of each field. Refer to Figure 28.3 at right. Consider Problem-Solving Strategy 28.1.

7. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Magnetic field of a current element II Follow Example 28.2 and Figure 28.4 below.

8. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Magnetic field of a straight current-carrying conductor Biot and Savart contributed to finding the magnetic field produced by a single current-carrying conductor.

9. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Fields around single wires Refer to Example 28.3. Refer to Example 28.4. Figure 28.7 illustrates Example 28.4. These apply to wires like the one at right in Figure 28.8.

10. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Forces and parallel conductors This is a classic demonstration. When you run the current one way through one rod and the other way through the second, they will snap together. If you reverse the connections on one rod so that both currents run the same way, the rods will fly apart. Follow Example 28.5. Figure 28.9 illustrates this concept.

11. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Magnetic field of a circular current loop A loop in the x,y plane will experience magnetic attraction or repulsion above and below the loop.

12. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Magnetic fields in coils Consider Figures 28.13, 28.14, and 28.15 below. Follow Example 28.6.

13. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Ampere’s Law I—specific then general

14. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Ampere’s Law II Consider Figure 28.18. Follow Problem-Solving Strategy 28.2. Follow Example 28.7.

15. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Field inside a long cylindrical conductor A cylinder of radius R carrying a current I. Refer to Example 28.8 and Figure 28.20 and Figure 28.21.

16. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Field of a solenoid A helical winding of wire on a cylinder. Refer to Example 28.9 and Figures 28.22–28.24.

17. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Field of a toroidal solenoid A doughnut-shaped solenoid. Refer to Example 28.10 and Figure 28.25.

18. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Magnetic materials The Bohr magneton will determine how to classify material. Refer to Figure 28.26 below. Follow Example 28.11. Ferromagnetic, paramagnetic, and diamagnetic will help us designate material that’s naturally magnetized or magnetizable, material that can be influenced by a magnetic field, and finally, material that is not interactive with a magnetic field. Table 28.1 at right will aid any calculation.

19. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Magnetic materials II Consider Figure 28.27 at right. Consider Figure 28.28 below.

20. Copyright © 2008 Pearson Education Inc., publishing as Pearson Addison-Wesley Magnetic materials III Consider Figure 28.29 below. Follow Example 28.12.