4. An induced electric current flows in a direction such that the current opposes the change that induced it. This law was deduced in 1834 by the Russian physicist Heinrich Friedrich Emil Lenz (1804-65).

5. Faraday’s law

7. x y z

8. x y z

9. x y z

10. apply Stoke’s theorem

12. I eat all magnetic monopoles!

13. wire carrying current I I 2w L u VV x

14. Bewley’s book w trick questions w not every motion generates a voltage w uniform B & v w substitution of circuit w V gen = 0!

15. X B 1 2 c u

16. X B c u V 12 = 0

17. X B 1 2 c u V 12 = Bcu

18. X B 1 2 c u V 12 = Bcu

19. X B 1 2 c u

20. X B c u V 12 = -Bcu V 12 = Bcu

21. X B 1 2 c u V 12 = -Bcu V 12 = Bcu

22. 1 I 1 dl 1 B2B2 I 2 dl 2 B1B1

28. Equation of continuity weweconomics wIwIf more comes out than you put in, the bag will decrease! wTwThere will be a flux of $. wFwFlux is related to what is or was inside the bag.

29. nnote that there is a flux out through a surface  z  y @ a time t > 0 [[flux density]  s = - [  ($ density)/  t]  v wewevaluate @ x o