Electromagnetic Wave Equation in Free Space

Derivation of the wave equation for em waves and their properties. ▶️ Playlist: ❤️ Unlock all videos: 📚 Read lesson: In this physics video, we first derive the two wave equations for an electromagnetic wave (that is for the E and B field components) in charge-free and current-free space. After that, we will look at where the speed of light is hidden in the electromagnetic wave equation. Afterwards, we will write out the wave equation to understand its structure better. At the end, we use the first and second Maxwell equations, and a planes wave to derive that the B and E field vectors must be perpendicular to the direction of propagation, i.e. perpendicular to the wave vector. And in the end we use Maxwell’s third and fourth equations to derive that the E and B field vectors of an electromagnetic plane wave are perpendicular to each other at any time and at any location. Video content: -------------------------------------- 00:00 Maxwell’s equations in vacuum 00:27 Derivation of the EM wave equation 02:13 Velocity of an electromagnetic wave 03:17 Structure of the electromagnetic wave equation 05:00 E- and B-field of plane waves are perpendicular to k-vector 07:24 E- and B-field of plane waves are perpendicular 08:15 Summary Difficulty of the video: --------------------------- 🧠🧠🧠🧠⚪ Join physics community: ---------------------------------------------- Discuss about physics, ask physics questions or leave feedback. 🔗 Discord: About the channel: ------------------------- Here you will find high quality free physics videos for beginners and advanced students. About the author: ------------------------- I am Alexander Fufaev, I am a physicist from Germany. I run the physics website 🔗 More about me: Useful links: ----------------------------------- 🔗 Playlists: 🔗 Online formulary: 🔗 Exercises with solutions: 🔗 Free physics images: 🔗 Physics questions: #universaldenker You may reuse the videos for your own purposes. ❤️