Chapter 13 Maxwell's Equations and Electromagnetic Waves 13.1 The Displacement Current................. 13-3 13.2 Gauss's Law for Magnetism........ 13-5 13.3 Maxwell's Equations............... 13-6 13.4 Plane Traveling Electromagnetic Waves....... 13-7 13.4.1 One-Dimensional Wave Equation... 13-12 13.4.2 Gaussian One Dimensional Wave Pulse 13-13 13.5 Standing Electromagnetic Waves.................. 13-18 13.6 Poynting Vector… 13-21 Example 13.1:Solar Constant................ 13-23 Example 13.2:Intensity of a Standing Wave............ 13-24 13.6.1 Energy Transport...... 13-25 13.6.2 Power flow in a Solenoid with Changing Current 13-26 13.7 Momentum and Radiation Pressure...................... 13-28 13.8 Production of Electromagnetic Waves........... 13-29 13.8.1 Electric Dipole Radiation Movie....... 13-31 13.8.2 Another Electric Dipole Radiation Movie..... 13-31 13.8.3 Radiation From a Quarter-Wave Antenna Animation...............13-32 13.8.4 Plane Waves.… 13-32 13.8.5 Sinusoidal Electromagnetic Wave.................. 13-37 13.9 Summary 13-39 13.10 Appendix:Reflection of Electromagnetic Waves at Conducting Surfaces..13-41 13.11 Problem-Solving Strategy:Traveling Electromagnetic Waves..........13-46 13.12 Solved Problems............ 13-47 13.12.1 plane Electromagnetic Wave. 13-47 13.12.2 One-Dimensional Wave Equation......... 13-48 13.12.3 Poynting Vector of a Charging Capacitor.... 13-49 13-113-1 Chapter 13 Maxwell’s Equations and Electromagnetic Waves 13.1 The Displacement Current.............................................................................. 13-3 13.2 Gauss’s Law for Magnetism........................................................................... 13-5 13.3 Maxwell’s Equations ...................................................................................... 13-6 13.4 Plane Traveling Electromagnetic Waves........................................................ 13-7 13.4.1 One-Dimensional Wave Equation ......................................................... 13-12 13.4.2 Gaussian One Dimensional Wave Pulse................................................ 13-13 13.5 Standing Electromagnetic Waves................................................................. 13-18 13.6 Poynting Vector............................................................................................ 13-21 Example 13.1: Solar Constant.............................................................................. 13-23 Example 13.2: Intensity of a Standing Wave....................................................... 13-24 13.6.1 Energy Transport ................................................................................... 13-25 13.6.2 Power flow in a Solenoid with Changing Current................................. 13-26 13.7 Momentum and Radiation Pressure.............................................................. 13-28 13.8 Production of Electromagnetic Waves ......................................................... 13-29 13.8.1 Electric Dipole Radiation Movie ........................................................... 13-31 13.8.2 Another Electric Dipole Radiation Movie ............................................. 13-31 13.8.3 Radiation From a Quarter-Wave Antenna Animation........................... 13-32 13.8.4 Plane Waves........................................................................................... 13-32 13.8.5 Sinusoidal Electromagnetic Wave ......................................................... 13-37 13.9 Summary....................................................................................................... 13-39 13.10 Appendix: Reflection of Electromagnetic Waves at Conducting Surfaces.. 13-41 13.11 Problem-Solving Strategy: Traveling Electromagnetic Waves.................... 13-46 13.12 Solved Problems ........................................................................................... 13-47 13.12.1 Plane Electromagnetic Wave................................................................. 13-47 13.12.2 One-Dimensional Wave Equation......................................................... 13-48 13.12.3 Poynting Vector of a Charging Capacitor............................................. 13-49