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Homework set #3 is posted Due Tuesday by 5PM No late homework accepted Homework set #4 is posted Due Tuesday September 2 PowerPoint Presentation
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Homework set #3 is posted Due Tuesday by 5PM No late homework accepted Homework set #4 is posted Due Tuesday September 2

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Homework set #3 is posted Due Tuesday by 5PM No late homework accepted Homework set #4 is posted Due Tuesday September 2

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Homework set #3 is posted Due Tuesday by 5PM No late homework accepted Homework set #4 is posted Due Tuesday September 2

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  1. Homework set #3 is posted • Due Tuesday by 5PM • No late homework accepted • Homework set #4 is posted • Due Tuesday September 29th by 5PM • Same day as Exam I • No late homework accepted • Exam I – September 29th • Chapter 33-36 omitting section 36.6

  2. Last time Changing flux creates E-fields:

  3. Last time K2-42: LENZ'S LAW - MAGNET IN ALUMINUM TUBE K2-44: EDDY CURRENT PENDULUM K2-61: THOMSON'S COIL

  4. Last time Back – emf, Inductance: examples: Infinite solenoid (inductor!) Energy in B-fields: Inductor applications: Transformers, LR and LC circuits E-fields and B-fields transform into one another with relative motion!

  5. MIT simulation of EM waves http://ocw.mit.edu/ans7870/8/8.02T/f04/visualizations/light/07-EBlight/07-EB_Light_320.html K8-05: ELECTROMAGNETIC PLANE WAVE MODEL G3-01: SHIVE WAVE MACHINE - TRAVELING WAVES M7-04: MALUS' LAW K8-42: RADIOWAVES - ENERGY AND DIPOLE PATTERN

  6. E or B? Galilean transformation Only consider constant velocity between reference frames! Sharon only observes an electric field from charge Bill observes an electric field from charged particle AND magnetic field produced by the moving charge Both observe no net force on particle

  7. E or B? Galilean transformation Both observers agree on the net force on the particle!

  8. E or B? Galilean transformation Consider a TEST charge (to measure forces). Bill (frame S) sets up B-field, observes charge moving at velocity  Force up: Sharon (frame S’) is moving along with charge so v=0 There MUST be a force observed by Sharon since Bill observes one. There must be an E-field in Sharon’s frame that push’s the charge!

  9. E or B? Galilean transformation Bill (frame S) sets up B-field, observes charge moving at velocity  Force up: Sharon (frame S’) is moving along with charge so v=0 Must have: Lorentz Force:

  10. E or B? Two Aspects of same phenomenon Bill (frame S) Force up: Sharon (frame S’) is moving along with charge so v=0:

  11. E or B? Two Aspects of same phenomenon E field in frame S’ from E and B fields in frame S How do the B-fields tranform from one frame to another?

  12. B-field transformation: Biot Savart Law

  13. E or B? Two Aspects of same phenomenon The Galilean field transformation equations are where V is the velocity of frame S'relative to frame S and where the fields are measured at the same point in space by experimenters at rest in each reference frame. NOTE: These equations are only valid if V << c.

  14. Something is wrong with Galilean transformation:

  15. Something is wrong with Galilean transformation:

  16. Magnetic Gauss’s Law Since there are NO magnetic monopoles (only dipoles and conglomerates of dipoles), Net number of field lines piercing any closed surface is zero

  17. Modification to Ampere’s Law

  18. Changing B-field induces E-field, Lenz’s law gives direction Changing E-field induces B-field, Opposite of Lenz’s law gives B-field direction

  19. Quickly Review of Traveling Waves

  20. Homework set #4 • Due Tuesday September 29th by 5PM • Same day as Exam I • No late homework accepted • Exam I – September 29th • Chapter 33-36 omitting section 36.6 • Make-up exams are oral; only valid excuses

  21. Last time E-fields and B-fields transform into one another with relative velocity between inertial reference Frames.

  22. Last time Review of traveling waves E&M Plane waves:

  23. Last time http://ocw.mit.edu/ans7870/8/8.02T/f04/visualizations/light/07-EBlight/EB_Light.mpg

  24. Last time

  25. MIT simulation of EM waves http://ocw.mit.edu/ans7870/8/8.02T/f04/visualizations/light/07-EBlight/07-EB_Light_320.html K8-05: ELECTROMAGNETIC PLANE WAVE MODEL G3-01: SHIVE WAVE MACHINE - TRAVELING WAVES M7-04: MALUS' LAW K8-42: RADIOWAVES - ENERGY AND DIPOLE PATTERN

  26. Energy and momentum of EM radiation