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chapte13em_waves

# chapte13em_waves - Chapter 13 Maxwells Equations and...

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Chapter 13 Maxwell’s Equations and Electromagnetic Waves 13.1 The Displacement Current ..................................................................................... 2 13.2 Gauss’s Law for Magnetism .................................................................................. 4 13.3 Maxwell’s Equations ............................................................................................. 4 13.4 Plane Electromagnetic Waves ............................................................................... 6 13.4.1 One-Dimensional Wave Equation .................................................................. 9 13.5 Standing Electromagnetic Waves ........................................................................ 12 13.6 Poynting Vector ................................................................................................... 14 Example 13.1: Solar Constant .................................................................................. 16 Example 13.2: Intensity of a Standing Wave ........................................................... 18 13.6.1 Energy Transport .......................................................................................... 18 13.7 Momentum and Radiation Pressure ..................................................................... 21 13.8 Production of Electromagnetic Waves ................................................................ 22 Animation 13.1 : Electric Dipole Radiation 1 ......................................................... 24 Animation 13.2 : Electric Dipole Radiation 2 ......................................................... 24 Animation 13.3 : Radiation From a Quarter-Wave Antenna .................................. 25 13.8.1 Plane Waves .................................................................................................. 25 13.8.2 Sinusoidal Electromagnetic Wave ................................................................ 30 13.9 Summary .............................................................................................................. 32 13.10 Appendix: Reflection of Electromagnetic Waves at Conducting Surfaces ....... 34 13.11 Problem-Solving Strategy: Traveling Electromagnetic Waves ......................... 38 13.12 Solved Problems ................................................................................................ 40 13.12.1 Plane Electromagnetic Wave ...................................................................... 40 13.12.2 One-Dimensional Wave Equation .............................................................. 41 13.12.3 Poynting Vector of a Charging Capacitor ................................................... 42 13.12.4 Poynting Vector of a Conductor ................................................................. 44 13.13 Conceptual Questions ........................................................................................ 45 13.14 Additional Problems .......................................................................................... 46 13.14.1 Solar Sailing ................................................................................................ 46 0

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13.14.2 Reflections of True Love ............................................................................ 46 13.14.3 Coaxial Cable and Power Flow ................................................................... 46 13.14.4 Superposition of Electromagnetic Waves ................................................... 47 13.14.5 Sinusoidal Electromagnetic Wave .............................................................. 47 13.14.6 Radiation Pressure of Electromagnetic Wave ............................................. 48 13.14.7 Energy of Electromagnetic Waves .............................................................. 48 13.14.8 Wave Equation ............................................................................................ 49 13.14.9 Electromagnetic Plane Wave ...................................................................... 49 13.14.10 Sinusoidal Electromagnetic Wave ............................................................ 49 1