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Chapter 32

Chapter 32. Maxwell’s Equations Electromagnetic Waves. Maxwell’s Equations. Describe EVERYTHING in Electromagnetism. Gauss’ Law (Electric). Gauss’ Law (Magnetic). No magnetic monopole exists. Faraday’s Law. Ampere-Maxwell law. Rewriting the EQN. Another equation.

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Chapter 32

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  1. Chapter 32 Maxwell’s Equations Electromagnetic Waves

  2. Maxwell’s Equations Describe EVERYTHING in Electromagnetism

  3. Gauss’ Law (Electric)

  4. Gauss’ Law (Magnetic) No magnetic monopole exists

  5. Faraday’s Law

  6. Ampere-Maxwell law

  7. Rewriting the EQN

  8. Another equation

  9. Maxwell’s equations(second version)

  10. Maxwell’s Equation(Two Versions)

  11. Electromagnetic Wave E Light is represented by fluctuations in the magnetic and electric field called electromagnetic waves. EM wave is a consequence of the Maxwell’s Equation. B

  12. Basic Facts about EM waves in vacuum • Always travels at exactly the speed of light c. • E and B are always perpendicular. • E×B gives the direction of the wave. • |E|=|cB| • Two independent direction of polarization (later)

  13. The electromagnetic spectrum

  14. Why do we see colors?

  15. Deriving EM waves in vacuum

  16. Question This is precisely the speed of light! Conclusive proof that light is a kind of EM wave.

  17. Bible? And God said, Let there be light, and there was light. - Genesis 1:3

  18. The Dual Nature of Light(Quantum Mechanics) Sometimes waves Sometimes particles (photons)

  19. How to produce EM waves • Acceleration of charges • Electrons jumping in energy levels in atoms • Changing energy levels in molecules

  20. Plane EM Waves (re-derived)

  21. Plane EM Waves (Cont.)

  22. Plane EM Waves (Cont.)

  23. Plane EM Waves (Cont.)

  24. Sinusoidal Solution

  25. Poynting Vector

  26. Intensity

  27. MOMENTUM OF EM WAVES

  28. Radiation Pressure

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