4 Maxwell Equations. Get the Deepest Intuition!

#universaldenker The 4 Maxwell Equations. Get the Deepest Intuition! 211,673 viewsOct 5, 2019 Universaldenker ⚛ Physics 8.89K subscribers Maxwell Equations of Electrodynamics in Free Space simply explained (Crash Course). ▶️ Playlist: https://youtube.com/playlist?list=PLT... ❤️ Support me: https://youtube.com/universaldenker-p... 📚 Read lesson: https://en.universaldenker.org/lesson... 📚 Derivation of displacement current: https://en.universaldenker.org/argume... In this lecture the four Maxwell Equations for free space are visualized. To fully understand the Maxwell’s Equations, I will also explain the Divergence and the Stokes Theorem. These two mathematical theorems combine the line integral, the surface integral, and the volume integral (including rotation and divergence of a vector field). With the acquired knowledge you will easily understand all four Maxwell equations in vacuum in differential form but also in integral form. Video content: -------------------------------------- 00:00 Applications of the Maxwell equations 00:52 Electric field vector 03:56 Magnetic field vector 09:00 Divergence Theorem 16:34 Curl Theorem (Stokes Theorem) 22:42 The FIRST Maxwell’s equation 26:30 The SECOND Maxwell’s equation 29:07 The THIRD Maxwell’s equation (Faraday’s law of induction) 33:50 THE FOURTH Maxwell’s equation 37:09 Summary Difficulty of the video: --------------------------- 🧠🧠🧠⚪⚪ Join physics community: ---------------------------------------------- Discuss about physics, ask physics questions or leave feedback. 🔗 Discord: https://discord.com/invite/3Btr63fujg 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 universaldenker.org 🔗 More about me: https://en.universaldenker.org/avatar... Useful links: ----------------------------------- 🔗 Playlists: https://youtube.com/c/universaldenker... 🔗 Online formulary: https://en.universaldenker.org/formulas 🔗 Exercises with solutions: https://en.universaldenker.org/exercises 🔗 Free physics images: https://en.universaldenker.org/illust... 🔗 Physics questions: https://en.universaldenker.org/questions #universaldenker You may reuse the videos for your own purposes. ❤️ Chapters Applications of the Maxwell equations 0:00 Electric field vector 0:52 Magnetic field vector 3:56 Divergence Theorem 9:00 Curl Theorem (Stokes Theorem) 16:34 The FIRST Maxwell’s equation 22:42 License Creative Commons Attribution license (reuse allowed) 457 Comments rongmaw lin Add a comment... Universaldenker ⚛ Physics Pinned by Universaldenker ⚛ Physics Universaldenker ⚛ Physics 2 years ago (edited) denkerYoda Playlists: https://www.youtube.com/c/universaldenker-physics/playlists denkerLogoRead lesson: https://en.universaldenker.org/lessons/11 denkerDenkt Join community: https://youtube.com/universaldenker-physics/join Maxwell’s equations explained for beginners! First, you'll learn what the Maxwell equations are all about (applications). Then the electric and magnetic fields - that are found in the Maxwell’s equations - are explained. To fully understand the Maxwell’s equations, you will then learn the divergence integral theorem and the curl integral theorem. These two mathematical theorems combine the line integral, the surface integral, and the volume integral (including rotation and divergence of a vector field). With the acquired knowledge you will easily understand all four Maxwell equations (in vacuum). In addition to the so-called differential form, the integral form of the Maxwell’s equations is explained. Video content: -------------------------------------- 00:00 Applications of the Maxwell equations 00:52 Electric field vector 03:56 Magnetic field vector 09:00 Divergence Theorem 16:34 Curl Theorem (Stokes Theorem) 22:42 The FIRST Maxwell’s equation 26:30 The SECOND Maxwell’s equation 29:07 The THIRD Maxwell’s equation (Faraday’s law of induction) 33:50 THE FOURTH Maxwell’s equation Difficulty of the video: --------------------------- 🧠🧠🧠⚪⚪ Join physics community: ---------------------------------------------- Discuss about physics, ask physics questions or leave feedback. 🔗 Discord: https://discord.com/invite/3Btr63fujg 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 universaldenker.org 🔗 More about me: https://en.universaldenker.org/avatars/fufaev Useful links: ----------------------------------- 🔗 Playlists: https://youtube.com/c/universaldenker-physics/playlists 🔗 Online formulary: https://en.universaldenker.org/formulas 🔗 Exercises with solutions: https://en.universaldenker.org/exercises 🔗 Free physics images: https://en.universaldenker.org/illustrations 🔗 Physics questions: https://en.universaldenker.org/questions #universaldenker You may reuse the videos for your own purposes. ❤ 54 Universaldenker ⚛ Physics Victor Chanalet Victor Chanalet 13 minutes ago This is incredible Aron Hardeman Aron Hardeman 15 hours ago Thank you :) Universaldenker ⚛ Physics Software Phil Software Phil 1 day ago Excellent video! I’ve watched several videos on Maxwell’s equations; this did the best job of explaining the calculus representation and the derivative vs integral forms. 3 Universaldenker ⚛ Physics Mix Guru Mix Guru 1 day ago Unforgettable day in my life! 1 Universaldenker ⚛ Physics KOSMICxKLASHER2 KOSMICxKLASHER2 2 days ago Within the first 20 seconds you've already given people the wrong idea. "Any device that exploits electricity or magnetism is fundamentally based on Maxwell's equations." No. Maxwell's equations are fundamentally based on an interpretation of phenomena that occurs in any device that exploits electricity or magnetism. You have it backwards. 3 Universaldenker ⚛ Physics Thomas Olson Thomas Olson 3 days ago (edited) Mixed unit geometry is cool. It always has a cross product some where. Watch those units folks, you might figure something out that no one knows about. Perhaps plop something in some where it doesn't belong and break physics. 2 Universaldenker ⚛ Physics Gato Angora Gato Angora 3 days ago Great video. The problem are the subtitles. 2 Universaldenker ⚛ Physics André Tanus Cesário André Tanus Cesário 3 days ago Hi there... Can I ask you what software did you use to create this wonderful video? Congratulations! It's amazing!!!!!!!!!! 2 Universaldenker ⚛ Physics Simonette P Simonette P 3 days ago You not only helped me understand maxwell equations, but you also helped me understand some vector calculus concepts that got lost in the middle of all the tedious calculations that i was made to to, thank you. 1 Universaldenker ⚛ Physics Dan Evetts Dan Evetts 3 days ago this video was really helpful but please chill with the sound effects 1 Universaldenker ⚛ Physics Subuhul Fatir Samawat Raja Bunnaim Subuhul Fatir Samawat Raja Bunnaim 3 days ago (edited) Sharp and clean explanations. Thank you. 2 Universaldenker ⚛ Physics YawnGod YawnGod 3 days ago What were these submitted English subtitles? 2 Universaldenker ⚛ Physics syed ali moajiz syed ali moajiz 4 days ago Brilliant explanation 3 Universaldenker ⚛ Physics Erik Díaz-Bautista Erik Díaz-Bautista 4 days ago I'm a professor at a university in Mexico. Tomorrow, we're going to start the topic of Maxwell's equations. I'll recommend your video to my students. 🙂✌️🇲🇽 3 Universaldenker ⚛ Physics Brian Holloway Brian Holloway 4 days ago Great video and explanation! 1 Universaldenker ⚛ Physics 12388696 12388696 4 days ago Cool 1 Universaldenker ⚛ Physics Ole Stilling Ole Stilling 5 days ago A little dry but fine, however he is missing the very important part that was intensely discussed around 1900. So take an electric charged sphere and let it move with speed v in empty space. A magnetic field will appear around it. . If you send your friend to follow the sphere say in a rocket, your friend will find that there are no magnetic field despite that you can measure it from your stationary position. Both observations are true. Say you do this experiment with a stone of mass m, the stone gets a kinetic energy 1/2 m v^2 , but your friend in the rocket find that there're no kinetic energy since the stone has the same speed as the rocket. In fact the energy in the magnetic field is exactly the kinetic energy of the electric field from the sphere. Maxwells equations are exactly the basis for Einsteins special relativitetsteori, you can find that E= m C^2 and how the electric field is compressed at high speed. 5 Universaldenker ⚛ Physics Ji Seong Lee Ji Seong Lee 6 days ago (edited) 0:53 🇯🇵 4 Universaldenker ⚛ Physics Kristopher Driver Kristopher Driver 6 days ago You are amazing 1 Universaldenker ⚛ Physics AJ AJ 7 days ago Awesome video! Very great explanation! Very well explained and I indeed got the deepest intuition!. THank you! 2 Universaldenker ⚛ Physics AJ AJ 7 days ago awesome video! Thank you! Universaldenker ⚛ Physics Landonian Landonian 10 days ago I haven't even watched the video but know it's going to be good bc it's aiming for intuition. 4 Universaldenker ⚛ Physics aida bach aida bach 11 days ago Thank you Universaldenker ⚛ Physics Ever Green Ever Green 12 days ago Very unique way for explaining complex ideas. Please do consider providing content on less advanced topics related to physics or math. Thanks. 2 Universaldenker ⚛ Physics Daniel Wahl Daniel Wahl 13 days ago annoying to have text over text of video 3 angeldude101 angeldude101 2 weeks ago (edited) F = qvB. Oh ya, that makes sense. vB would be a vector and... oh right, B is just a vector itself and not a distinct rotational object that can be easily multiplied by a vector to give another vector. If only such a thing existed... In fact, if B weren't a vector, then there'd be nothing stopping someone from packaging B and E into a single object! (Though the units wouldn't quite match up, but that should be easily dealt with by throwing a c at it.) Using the cross product implies that electromagnetism doesn't exist outside 3D space, which given that the real world is closer to 4D space-time, and models are usually done in 2D, seems to be a bit of a problem. I should mention that tensors would satisfy this, but I personally prefer the geometric algebra formulation with bivectors since they're easier to visualize. The curl integral theorem was funny to me since it basically looks like you're decomposing F into the bivector that it probably should be. 1 Universaldenker ⚛ Physics alex xans alex xans 2 weeks ago (edited) The video is incredible. In just 40 minutes it dissects and analyzes each aspect of the equations and comes the a conclusion about what they actually mean. It's honestly amazing 4 Waerx Waerx 2 weeks ago what if I told you there are only 2 maxwell equations and you can work with it out with a 4 component current and a 4x4 electromagnetic tensor 1 Universaldenker ⚛ Physics kesho singh kesho singh 2 weeks ago best ever explanation 1 Universaldenker ⚛ Physics Veronica Logotheti Veronica Logotheti 2 weeks ago So does is how light the sun gets into the earth Universaldenker ⚛ Physics Veronica Logotheti Veronica Logotheti 2 weeks ago That is why we have electricity Universaldenker ⚛ Physics Ahmet Yildirim Ahmet Yildirim 2 weeks ago great explanation, thanks Universaldenker ⚛ Physics Jeremy Aweda Jeremy Aweda 2 weeks ago I really like the sound effects at the end and beginning of each chapter 😄. Universaldenker ⚛ Physics Sina Safizadeh Sina Safizadeh 2 weeks ago Wow Universaldenker ⚛ Physics Chyld Studios Chyld Studios 3 weeks ago Truly awesome! 1 Universaldenker ⚛ Physics Fazio Leonardo Fazio Leonardo 3 weeks ago E&M in 38 minutes. Really amazing ! Like the other commentator my understanding of Maxwell's equations have dramatically improved after 40 years ! Universaldenker ⚛ Physics Covington Kua Covington Kua 3 weeks ago U just help me thru 5 weeks worth of 4th year electromagnetic wave Universaldenker ⚛ Physics Sudeshna Samanta Sudeshna Samanta 4 weeks ago You didn't ask for a subscription and bell icon to press! You did great justice to your video! I learned and I understood, that's the only comment! Universaldenker ⚛ Physics Ata Çalışkan Ata Çalışkan 4 weeks ago I don't understand why my instructors in colleage can't explain it like this. They just tell us a story that lasts 2 hours and you don't understand any single thing about it. Universaldenker ⚛ Physics Nik 007 Nik 007 1 month ago I am so glad I clicked at this video Universaldenker ⚛ Physics Jason Broadway Jason Broadway 1 month ago Nice! Universaldenker ⚛ Physics sven degen sven degen 1 month ago This video is an amazing explanation Universaldenker ⚛ Physics Ferhat Nusret Uruç Ferhat Nusret Uruç 1 month ago Thank you, good and clear explanation. I bleave that, many teachers at schools can not set up such a word you can. Universaldenker ⚛ Physics Mengdi Chen Mengdi Chen 1 month ago This video is super cool. Vielen Dank! I thought you are a German speaker when I was watching this video. Because you said "so to speak". That is the favorite word my doctor father likes to use, haha. I am a Chinese who has studied in Germany. Willie Johnson 1 month ago Great video, except... 19:35 The electric voltage is proportional to the energy as an electric particle or charge moves around the line. Check. No problem. But that means that this is and must be the case for a magnetic voltage (19:22) therefore there must exist magnetic monopoles that move around the line. If one wishes to counter that the line around which the magnetic voltage exists is always orthogonal to the line the charges follow then this would imply that electric charges are also magnetic monopoles. Chris Gin 1 month ago 4.7K Likes At 2:16 EST 03/18/22 veeraj vishnu 1 month ago I'm honestly speechless. I've never seen Maxwell's eqs explained so neatly and concisely. It's like you knew exactly what I wanted. Thank you! 6 Miguel Ramírez 2 months ago Thank you so much, amazing video Eric Su 2 months ago There is a serious error in one of Maxwell's 4 equations. The equation that applies Gauss's law to electric field. It is not applicable because of the divergence. Detail on this one-minute video. https://youtu.be/0C_kTgsoaMw Sachin 2 months ago awesome video Bhanu meemrot 2 months ago well explained. By this video i easily understood all maxwell's equations.Thanks a lot. Nicolas Koukoutsis 2 months ago Damn. That was an excellent presentation. You have my thanks. Altair Altair 2 months ago This lecture does a better job explaining an entire course of Emag in college. Awesome and thank you makespace 3 months ago Great job! Mike Ettinger 3 months ago didn't like how the printed explanation covered the formula K Ganesan 3 months ago A complex topic explained from zero base in a very very simple way Thanks MC Czapens 3 months ago Wonderful jyoti goel 3 months ago you are a god... i am in second year engineering in computer science in one of the top Unis worldwide... we have done so much calculus and seen all these theorems and currently studying electron-magnetism... you have merges both worlds so nicely... beautiful Michael Mounts 3 months ago great video…best explanation of why cross product is used to describe orthogonality of vector B