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For more information, please see full course syllabus of AP Physics C/Electricity and Magnetism
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Post by Herve Gnidehoue on December 30, 2011

Great lecture. I've been very very impressed by what I've learnt in this lecture. The rendition is magnific and the information mind-blowing. Blessed be Maxwell for this terrific insight. Viva science. Physics rocks.

Maxwell's Equations

  • There are four equations that constitute Maxwell’s equations:
    1. Gauss’s law: The integral of E.da over a closed surface is equal to the charge enclosed within the surface divided by epsilon_0.
    2. Gauss’s law in magnetism: The integral of B.da over any closed surface is zero.
    3. Faraday’s law: The line integral of E.dl over a closed path is equal to minus the derivative with respect to time of the flux through the closed path.
    4. Ampere-Maxwell’s law: The line integral of B.dl over a closed path is equal to mu_0*I plus mu_0*epsilon_0*(derivative of the electric flux with respect to time).
  • Maxwell’s equations predict the existence of electromagnetic waves that travel in vacuum with the speed of light.
  • In a plane electromagnetic wave, the electric field E and the magnetic field B are perpendicular to each other and both are perpendicular to the direction of propagation.

Maxwell's Equations

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Displacement Current 1:29
    • Ampere's Law
    • Surface Bounded by Path
    • I Current Going Through Surface
    • Charging a Capacitor
  • Maxwell's Equation 18:26
    • Integral Form
    • E.da =Q/e0 in Closed Surface
    • Absence of Magnetic Monopoles
    • Flux Through the Surface Bounded By C
    • Ampere's Law
  • Plane Electromagnetic Wave 31:03
    • Electric and Magnetic Field
  • Example 39:20
    • Electromagnetic Wave Traveling in X Direction
    • Lamda=c/f
    • B=E/C
  • Energy and Momentum Carried by EM Waves 44:34
    • Energy Density
    • Area in Y-Z Plane , Wave in X -Direction
    • Energy Crossing Per Unit Area
    • Pointing Vector
    • Reflection of Radioactive
  • Example 1: Cylindrical Region
  • Example 2: Electric Field of EM Wave