Maxwell's Equations - Basic derivation

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  • @ProfessorMastermind
    @ProfessorMastermind 5 ปีที่แล้ว +72

    One of the best teachers . I wish I had a teacher like him in college . So clear and precise .

    • @gahangwasteve8789
      @gahangwasteve8789 4 ปีที่แล้ว +1

      Now you do

    • @jacobvandijk6525
      @jacobvandijk6525 3 ปีที่แล้ว

      Or didn't you pay enough attention at the time? It's always the other guy, huh?

    • @alwaysdisputin9930
      @alwaysdisputin9930 3 ปีที่แล้ว +4

      @@jacobvandijk6525 Yes. It usually is. For example it's not impossible to derive e = mc² quickly & mathematically in YT videos. However, 95% of teachers are not able to do it. They simply do not have the skill that DrPhysicsA has. The ones that try don't get many views because their videos are confusing & unsuccessful.
      Great teachers are like gems
      I found some other things that have gem-like properties:
      1) A book: Engineering Mathematics by Stroud - very gentle & clear with many questions & problems to work through
      2) Supermemo software uses flashcards to make it almost impossible to forget the stuff we learn
      3) Meditation on compassion & loving-heartedness.

    • @verysimplephysicsinthamil1436
      @verysimplephysicsinthamil1436 3 ปีที่แล้ว

      Good Expectation

    • @lawliet2263
      @lawliet2263 2 ปีที่แล้ว

      @@alwaysdisputin9930 hey man i too love goddesses but in bed since they hav huggge bobos

  • @imagination7710
    @imagination7710 8 ปีที่แล้ว +488

    Net flux and chill

  • @meroxyersox
    @meroxyersox 9 ปีที่แล้ว +175

    You have saved my degree, that's not a joke or an exaggeration, I honestly do not believe I could have passed my electromagnetism module without the help of this video.
    Thank you DrPhysics!

    • @DrPhysicsA
      @DrPhysicsA  8 ปีที่แล้ว +36

      +HighFiveTRex Thanks.

    • @robertoflavioarguellesarre5836
      @robertoflavioarguellesarre5836 7 ปีที่แล้ว +9

      HighFiveTRex This comment made me suscribe without even watching the video yet.

    • @ssemakulapheastus2651
      @ssemakulapheastus2651 7 ปีที่แล้ว

      HighFiveTRex
      thank n keep up

    • @qwerty90615
      @qwerty90615 6 ปีที่แล้ว +1

      I sure wish I had this video when I was taking electromagnetics. It is the same basic materials presented by countless others, but the clarity, the delivery, and pace are excellent. The handwriting and screen movements are natural, quick and legible. I get the idea DrPhysics has been delivering such material for some time.

    • @jeroenfeher8107
      @jeroenfeher8107 5 ปีที่แล้ว +3

      Understanding how to explain a subject is an incredibly undervalued communication skill isn't it.

  • @DrPhysicsA
    @DrPhysicsA  12 ปีที่แล้ว +7

    I'm not sure either. It's not my doing. I welcome all comments, although I can't respond to them all. I would delete comments only if they were rude or abusive. And I'm pleased to say that so far, that has not been the case for any of my videos. A tribute to physics enthusiasts.

  • @osoyconam
    @osoyconam 9 ปีที่แล้ว +26

    I'm spanish, and I have to say this is the best video I have found about the Maxwell's Equations. GOOD JOB!

  • @lesking6541
    @lesking6541 3 หลายเดือนก่อน +2

    At school, we were given a copy of George Gamows Biography of Physics to read.
    I was bowled over by the story of James Maxwell showing mathematically that radio waves are emitted by an oscillating charge and that he had calculated the velocity of these waves and it was the same as the velocity of light.
    I think it was this that enthused me to do a degree in Physics, along with Special Relativity.
    Unfortunately, my maths wasn't up to the task, so I changed to a Mechanical Engineering degree, but I have always regarded Maxwells equations with awe.
    I now understand them, at seventy-seven years of age.
    Got there eventually.

  • @warrenchu6319
    @warrenchu6319 3 ปีที่แล้ว +16

    7:54 Maxwell's 1st Equation; 17:29 Maxwell's 2nd Equation; 37:44 Maxwell's 3rd Equation; 50:40 Maxwell's 4th Equation.

  • @brianb2627
    @brianb2627 8 ปีที่แล้ว +1

    Simply put... This is a prime example of an excellent educational video. Thank you very much for not only sharing your knowledge, but delivering it spot on!

  • @MarcelRGuimond
    @MarcelRGuimond 9 ปีที่แล้ว +4

    Wow ! Who needs a classroom when you have this quality of presentation and delivery?!

  • @bluefishactcl1464
    @bluefishactcl1464 2 ปีที่แล้ว

    Excellent !!!!!
    Basic, complete, accessible !!
    Entertaining!!!
    Brings Maxwells equations down to its most basic truths .
    Thank you

  • @seannyman5844
    @seannyman5844 10 ปีที่แล้ว +5

    you are freaking awesome. I've been through a few physics/engineering classes and none of them know how to "dumb" down the idea and equations as well as you have. You're a great teacher.

  •  2 ปีที่แล้ว

    Ahh - to the point. No background music, animations etc. Always enjoyable to listen to a teacher that knows his stuff and sets the right level.

  • @cartermonroe4377
    @cartermonroe4377 9 ปีที่แล้ว +1

    This is the best presentation of Maxwell's original theory that I have ever seen. You really captured the spirit in which he went about solving the problem. He was not afraid to let geometry be his guide, which of course yielded astounding results. I never pass up a chance to look at any of his original derivations, since they are so beautifully done. Thanks again.

  • @hugoperozo4895
    @hugoperozo4895 3 ปีที่แล้ว

    This is the BEST explanation I have seen on a complex subject. Thank you for taking the time to make these videos. All your videos explain the concept in simple terms and the math behind it with simple derivations. I know there is more to it but derivations clearly outline the concepts behind the equations. Thank you.

  • @DrPhysicsA
    @DrPhysicsA  12 ปีที่แล้ว +15

    Classes are really important. I just cover the basics or provide revision material. Classes go deeper and allow you to do worked examples. Good luck.

  • @fergaltierney8672
    @fergaltierney8672 ปีที่แล้ว +1

    Brilliant. It's almost 30 years since I studied these in university but I never remember them being explained in such an intelligent way.

  • @steveschein2619
    @steveschein2619 5 ปีที่แล้ว +1

    Wow, brought back my entire EM fields one course, okay maybe not all of it. This is one of the best derivations of Maxwell's Equations I've seen.

  • @clakoclakson
    @clakoclakson 6 ปีที่แล้ว

    It's amazing how easy you make it look. Your pace of speaking, the pronounciation (I'm not english), and the presentation is excelent. Thank you very very much!!! Greetings from Spain

  • @m3g4nf0x1zH0T
    @m3g4nf0x1zH0T 7 ปีที่แล้ว +1

    This is the perfect summary of my undergraduate physics course. Excellently explained! thank you very much for your efforts :)

  • @zacht4368
    @zacht4368 9 ปีที่แล้ว

    Thank you so much for these videos. I can not tell you how much they have helped me learn new material and refresh through older material in electromagnetism!

  • @abrahamgetahun39
    @abrahamgetahun39 6 ปีที่แล้ว +9

    This man is literally awesome! Thanks for the crystal clear explanations sir!

  • @adrianboni2132
    @adrianboni2132 6 ปีที่แล้ว

    i remember my Physics 73 instructor Mr Lozano with your lecture. Very informative. Feels like i was a in college again.

  • @natrajsarma9938
    @natrajsarma9938 4 ปีที่แล้ว

    One of the best physics teachers . Makes even the hard topics easy and clear .

  • @diogomussum
    @diogomussum 7 ปีที่แล้ว +8

    A very simple explanation , you summed up one book in little time.

  • @TheR971
    @TheR971 7 ปีที่แล้ว

    Thank you very much for this summarization! Concise and does not require too much knowledge. Very nicely done!

  • @pbraju123456
    @pbraju123456 6 ปีที่แล้ว +4

    I wish I had such a tutor in my engineering days. You have dissected down every equation to tiniest bit and explained I can really call you Master of Electromangetic Engineering. Awesome

  • @DrPhysicsA
    @DrPhysicsA  11 ปีที่แล้ว +8

    Thanks. And greetings from the UK.

  • @cochisewolf
    @cochisewolf 11 ปีที่แล้ว +1

    Thanks. I very much appreciate the time, energy and effort put in to making these available.

  • @StephenRayner
    @StephenRayner 10 ปีที่แล้ว +28

    30 minutes in, this is bloody good!

  • @philoso377
    @philoso377 3 ปีที่แล้ว

    Of all the TH-cam on this topic, this is the only one I understand completely. Thank you.

  • @sablezubshruz9811
    @sablezubshruz9811 7 ปีที่แล้ว

    Very, very clear and clean explanation. Probably best i see so far on youtube.

  • @itseasyitspractical
    @itseasyitspractical 4 ปีที่แล้ว

    One of the best physics videos I have ever watched! Congratulations! Great explanation!!!

  • @Overunity357
    @Overunity357 5 ปีที่แล้ว +1

    You sir, have just created a future physicist. This is the coolest stuff i have ever seen.

  • @fcslash
    @fcslash 8 ปีที่แล้ว

    OMG I love you. If it wasn't for your wasn't for your videos I would be struggling so hard studying for my General Physics exam!!! All of this is SO well explained

  • @dudeskidaddy
    @dudeskidaddy 7 ปีที่แล้ว +1

    Wish I had this guy teaching my electrical engineering classes. Great jon

  • @markkinnard796
    @markkinnard796 11 ปีที่แล้ว

    Excellent discussion. The best I have ever seen. I wish I had you as a professor when I was in college. Keep up the good work and thank you very much.

  • @dae1366
    @dae1366 5 ปีที่แล้ว

    As with your lecture on the General theory of relativity. Extreme clarity achieved by explaining what all the terms mean and not assuming that we know them. Extremely useful for the none physicist.. many thanks

  • @michaeljburt
    @michaeljburt 11 ปีที่แล้ว

    Wow this video is incredible! Just took a physics course last semester on electricity and magnetism, and this is an excellent refresher. Going in to my second year of electrical engineering in the fall and this is the perfect video to review.
    Your explanation of fields is very clear and simple- if anyone asks me about them I will definitely point them here.
    Thanks!!

  • @mfelix3511
    @mfelix3511 ปีที่แล้ว

    Thank you so much, I cannot even express how much better you are at teaching this than my lecturers are. You are saving my degree.

  • @jamesmaybury7452
    @jamesmaybury7452 3 หลายเดือนก่อน +2

    Difference between a physicist and and engineer: when he said “when you see an arrow going away from you you see the tail feathers, when you see it coming towards you, you see a point” he’s a physicist. An engineer would say “when you see an arrow coming towards you, duck”

  • @arjunvadlamani3248
    @arjunvadlamani3248 7 ปีที่แล้ว

    This is what I'm doing my IB Math Internal Assessment on. Absolutely spectacular.

  • @linanouman9545
    @linanouman9545 3 ปีที่แล้ว

    Everything added up really well. Thank you for the explanation!

  • @DickHoskins
    @DickHoskins 2 ปีที่แล้ว

    Excellent presentations. Just shows how a pen and paper or chalk and blackboard is all a great teacher needs. Of course this iPad I am watching it is very handy.

  • @alibabatwist
    @alibabatwist 8 ปีที่แล้ว

    your method of presentation, your fantastic accent, and the clarity of your teaching made me impressed and I sincerely say : thank you very much.

    • @DrPhysicsA
      @DrPhysicsA  8 ปีที่แล้ว

      +Ali Baba Thanks.

  • @marcolopes1180
    @marcolopes1180 9 ปีที่แล้ว

    I'm going through some reviews for my electric machines class. Your video was really helpful thanks alot.

  • @jaideepdadi8119
    @jaideepdadi8119 3 ปีที่แล้ว +1

    Your video saved my QA session in college. Thanks a lot

  • @hanzishiguro8866
    @hanzishiguro8866 8 ปีที่แล้ว +1

    We need more teachers you like you sir.

  • @EmyllSomar
    @EmyllSomar 12 ปีที่แล้ว

    I needed this. I spent about an hour trying to explain it to a friend a few days ago. This video would saved me that time. ;)

  • @akarshsingh1540
    @akarshsingh1540 8 ปีที่แล้ว

    Thank u Dr. physics for providing such in depth knowledge of basics of em

  • @supershaye
    @supershaye 8 ปีที่แล้ว

    You explained it so intuitively. Thank you very much.

  • @amritmalhi4216
    @amritmalhi4216 6 ปีที่แล้ว

    really easy to understand and very helpful thankyou soo much sir and keep posting such kind of helpful videos for us

  • @babulkumarsamaddar98
    @babulkumarsamaddar98 5 ปีที่แล้ว

    Sir, your presentation is very nice and easily communicable.

  • @thetimijs
    @thetimijs 11 ปีที่แล้ว

    Thank You for covering this material! As You've already said, this if perfect stuff for revising the material for the upcoming exam! I am verry pleased, that I found this channel at the right time so thanks again and greetings from Latvia! :)

  • @Furiouslyfunnyfizzix
    @Furiouslyfunnyfizzix 11 ปีที่แล้ว

    Really liked this video. Very clearly and succinctly explained - well done. Thanks!

  • @DrPhysicsA
    @DrPhysicsA  11 ปีที่แล้ว

    I am currently producing a series of videos on electromagnetic radiation. The first, “what is the light?” Is already up. I am using Maxwell's equations to derive the nature of electromagnetic radiation and the wave equation.

  • @Christe4N
    @Christe4N 10 ปีที่แล้ว +5

    re: magnet partly inside the sphere (18:23): Even then the equations still hold. The magnetic flux outside of the magnet goes from the north pole to the south pole. Inside the magnet the flux always goes (back) from the south pole to the north pole. If the magnet is placed such that only the north pole is inside the sphere the amount of flux exiting and entering the sphere is still equal: the same amount of flux going from the north pole, out of the sphere to the south pole is going inside the magnet from the south pole, entering the sphere to the north pole.

  • @ayushipandey3857
    @ayushipandey3857 8 ปีที่แล้ว

    From Electrostatics to the starting chapters of Wave optics, this video covers everything! (I even remember the equations now XD )
    Thank you so much DrPhysics!

    • @lawliet2263
      @lawliet2263 2 ปีที่แล้ว

      Hey baby, where do you live?

  • @jameshamilton356
    @jameshamilton356 2 ปีที่แล้ว

    You have made difficult subjects in simple terms.Thank you Sir.....

  • @theprocessionist6442
    @theprocessionist6442 7 ปีที่แล้ว

    I'm probably going to watch this dozens of times. :D Thank you. It's going to help me work out some seriously cool stuff.:)

  • @joemartin2916
    @joemartin2916 8 ปีที่แล้ว +1

    very simple and methodical class ...thumbs up!!

  • @musthafamb1757
    @musthafamb1757 2 ปีที่แล้ว

    A very interesting presentation... Thank you so much ❤️

  • @MyWorldvisit
    @MyWorldvisit 11 ปีที่แล้ว

    Very nice explanation, unable move to another video, great voice and great presentation of the subject....Thank you for sharing your knowledge......great full to you sir......

  • @danieldanieldadada
    @danieldanieldadada 7 ปีที่แล้ว +1

    As someone who saw this 2 years ago in college and needs none of it in my faculty (civil engineering) I can say this was pretty neat. I thought I'd never unverstand Maxwell's equations. At this moment I understand 100% of the 1st equation.

    • @hacsince1991
      @hacsince1991 7 ปีที่แล้ว

      dan iel I was just thinking the same thing. I couldn't even remember more than one definition out of every two hour Chem class.. and that in the
      tenth grade. Hahaha i and I'm 25 and can't believe how beautiful it is now. New favorite subscription!

  • @philippelaperle4679
    @philippelaperle4679 6 ปีที่แล้ว

    Thank you for an exciting lecture replete with details.

  • @rajmohann.t252
    @rajmohann.t252 12 ปีที่แล้ว

    thank you very much for responding to my request and making this great video. Its absolutely superb.

  • @enriquecruse310
    @enriquecruse310 7 ปีที่แล้ว

    This video helped me a lot....Because I am not good in electrostatic and this helped to make my base strong for PGRE entrance.

  • @DrPhysicsA
    @DrPhysicsA  11 ปีที่แล้ว +2

    Thanks for drawing this to my attention. You are quite right. I had intended to say that the dot product was the product of two vectors. But as I suspect you are aware, the dot product is actually called the SCALAR product. The “vector product” can also be called the cross product. I have made a small annotation on the video to make this clear. Thanks again.

  • @robertsalazar2770
    @robertsalazar2770 28 วันที่ผ่านมา

    Best treatment of this topic I've seen.

  • @soumya508
    @soumya508 ปีที่แล้ว

    The equations that made me fall in love with Electromagnetism and finally i spent 4 years of my life learning Electronics and communication engineering! Ah Good old days :)

  • @MGTOW-nn9ls
    @MGTOW-nn9ls 11 หลายเดือนก่อน

    Mind-boggling lecture 👌

  • @georgegrech5347
    @georgegrech5347 ปีที่แล้ว

    18.50.I think that the second law holds because the flux going from south to north inside the bar magnet balances out the flux emerging from the N pole and then going out of the closed surface. The closed surface is just a mental construction and may be considered closed even when a bar magnet goes through it. A great teacher.

  • @outrospection4all
    @outrospection4all 5 ปีที่แล้ว

    Excellent lecture, many thanks. One simplification, to derive the displacement current, you only need to multiply and divide by epsilon, q/epsilon is the flux... no need for the dA

  • @ahmedgaafar5369
    @ahmedgaafar5369 10 ปีที่แล้ว

    super well done...i wish you were my teacher years ago.

  • @jdrv9353
    @jdrv9353 5 ปีที่แล้ว

    This is a truly enlightening video.

  • @DrPhysicsA
    @DrPhysicsA  11 ปีที่แล้ว

    Thanks. As the title explains, this is only supposed to be a very basic derivation. My approach with a number of these videos is to give enough basic information to enable the viewer to derive a broad sense of what is going on. If they want the detail and the rigour of the derivation they can then go to more advanced sources.

  • @s.platini9390
    @s.platini9390 7 ปีที่แล้ว

    Very clearly explained! Thank you sir.

  • @wolfisr
    @wolfisr 5 ปีที่แล้ว

    Wow, you're doing a very good job here! Thanks!

  • @sakuraudyani3576
    @sakuraudyani3576 9 ปีที่แล้ว +3

    I'm having a great time with your videos. They are really interesting and very helpful. Thank you so much Sir

    • @DrPhysicsA
      @DrPhysicsA  9 ปีที่แล้ว +6

      Thanks. Very kind of you to say so.

  • @Cannongabang
    @Cannongabang 8 ปีที่แล้ว

    wow i understand everything right now... congrats and thanks so much!

  • @NehadHirmiz
    @NehadHirmiz 9 ปีที่แล้ว +1

    Excellent Tutorial. thank you for your time :)

  • @StephenRayner
    @StephenRayner 10 ปีที่แล้ว +17

    19:00 I agree with Pablo P, the magnetic field lines travel through the bar magnet. So although they don't spread out like they would at the edge of the south pole, there is just as many magnetic field lines passing through the midpoint of the magnet as there are field lines exiting the norht point.
    Not suggesting Dr Physics is wrong, just that there are different ways to look at this and I hope it helps others to consider this from different angles.

    • @missmakeupzombie
      @missmakeupzombie 5 ปีที่แล้ว

      Stephen Rayner ldl MmEu

    • @johngayton2078
      @johngayton2078 4 ปีที่แล้ว +1

      I just discovered these jewels of knowledge

  • @sinangemicioglu2353
    @sinangemicioglu2353 4 ปีที่แล้ว

    Perfect lecture. Most useful in all

  • @barryhughes9764
    @barryhughes9764 5 ปีที่แล้ว

    DrPhysicsA. Why ,at 4.40, is the flux only described in terms of cos theta in one plane and not two, since the ' window' could be skewed in two orientations? Any clarification would be gratefully appreciated.

  • @UpayanM
    @UpayanM 8 ปีที่แล้ว

    How does the charge initially distribute itself if there is no field as mention in 14:21. How do you differentiate between the two scenarios?

  • @johnmcguire3763
    @johnmcguire3763 4 ปีที่แล้ว

    You are so concise! Thank you!

  • @samtux762
    @samtux762 5 ปีที่แล้ว

    @DrPhysicsA, i like your derivation of Einstein field equations.
    Do you derive Maxwell distribution somewhere?

  • @CrizTaylor
    @CrizTaylor 2 ปีที่แล้ว

    I love how physics handle infinitesimals. Anyway🖤, beautiful explanation🔥

  • @fuahuahuatime5196
    @fuahuahuatime5196 10 ปีที่แล้ว +10

    19:00 I think even if you could do that, there would be just as many magnetic field lines leaving the area as magnetic fields going into the area, so it would still be 0 either way.

  • @abdulmoeed4751
    @abdulmoeed4751 6 ปีที่แล้ว

    We calculate the net flux through a sphere only and always whose area we already know cuts out of the equation, what happens if the surface assumed is a square?

  • @alchemy1
    @alchemy1 4 ปีที่แล้ว

    I don't want to rewind but does it matter if the sphere is solid or hollow (at the beginning of the video)? And does it matter if the metallic sphere is the size of the earth with just one extra charged particle on it?

  • @fantasticmrbond
    @fantasticmrbond 11 ปีที่แล้ว

    Fantastic video. It is exactly as you described: if you already have a grasp on these topics, than this video will help you prepare for a test as well as fill in any possible gaps in your understanding. The definition of flux at 22:22 is missing the integral symbol; or you could just suppose the flux is phi = B*A (not B*dA) and you still get the correct form of the Emf. Again, thank you so much for posting this. Your videos are fantastic.

  • @mrdobbles3481
    @mrdobbles3481 10 ปีที่แล้ว

    Thank you thank you thank you!! This was extremely helpful!

  • @ottoomen5076
    @ottoomen5076 7 ปีที่แล้ว

    I appreciate your insight. Thanks for you time.

  • @DrPhysicsA
    @DrPhysicsA  11 ปีที่แล้ว

    You are right. I have made that clear in other videos on electromagnetism. This was intended to be a basic derivation and I missed out the explanation that the EMF is always such as to oppose the change that causes it.

  • @rayyan21d
    @rayyan21d 3 ปีที่แล้ว +4

    I'm a high schooler and thanks for helping me 🥺

  • @MrKraftyy
    @MrKraftyy 11 ปีที่แล้ว

    Really loving what you are doing, keep it up.

  • @biquinary
    @biquinary 10 ปีที่แล้ว

    17:20 What if the magnet is straddling the sphere? As in, part of it is inside, the other part outside?

  • @JoseFerreira-de7oe
    @JoseFerreira-de7oe 2 ปีที่แล้ว

    Loved the video it made me understand the laws like if it was basuc arithmetics. I think it would be cool if you made a video going into detail about the divergence and curl of the fields... You know... the standard form of the equations

  • @isnarmori5974
    @isnarmori5974 8 ปีที่แล้ว

    Wait, doesn't Gauss's Law only apply for closed surfaces? If so, how can you use it to work out the displacement current through the surface in 48:16 , which is an open surface?

  • @djfl58mdlwqlf
    @djfl58mdlwqlf 7 ปีที่แล้ว

    7:19 I'm kinda curious with this. if we are adding another charge q, which is affect the same dA chosen before in which dA is parallel to previous charge Q, i thought the angle between q and dA must be different and therefore be separately worked out... can you help me?