You don't understand Maxwell's equations

[@brendanpreece3089]

Let’s not forget Oliver Heaviside’s often forgotten role in formulating these equations as we know them today.

[@JosephBonello]

I am 56 and this the best explanation I have ever seen for these equations.

[@alithedazzling]

Thank you! What specifically about the explanation did you find useful?

[@andrewjames6676]

Same for me. I'm 82.

[@doctorbill37]

​​@@alithedazzling For me, it was two things: 1) the clarifying shift in perspective when you suggest looking at the equations with the right hand side of equals "causing" the left hand side; 2) the delta dot signifying dispersion versus the x operator for curling fields. I'd like to see the presentation you said you could do about the wave propagation where you pull this all together. Thank you for taking the time to do this.

[@gwh0]

You should have read more in your youth,

[@daringumucio2779]

I would love for you to do the wave equation video! So helpful to understanding! 🙏

[@sumitmandal3901]

Yes please.

[@radkitt3n379]

yesss please

[@mikesplithof8774]

Yes, please!

[@owaaaa3282]

yesss please

[@michaelreynolds5778]

Yes

[@anas.aldadi]

الله يفتح عليك ويوفقك يادكتور علي, والله فخر لنا كعرب أنه شخص مثلك باحث في ناسا, الله يقويك في طلب العلم وينفع بك وبعلمك.

[@alithedazzling]

thank you very much :)

[@AbdeelAliAitbrahimoubella]

مدهش لم أكن أعرف أنه عربي..والله فخر لنا ان تخرج من بيننا عقول كهذه الله يجزيك خير صديقي والله يرزقك و يرزقنا علم نفيد به الأمة

[@zbigniewbrzezinski8869]

Amin 🙏

[@cdunne1620]

.. is there a cause effect equation for God

[@evanfanous4235]

You’ve changed my whole perception about equations now in a better way. Thank you for providing as much detail as possible!

[@alithedazzling]

I'm glad you're seeing the equations in a new light!

[@sciencedaemon]

I can too: research the geometric calculus formulation of Maxwell's equations. There is only one equation. If that doesn't wake you up to how backwards using 4 equations is, nothing will.

[@Yellowboxable]

I am a physicist myself and I found your understanding and communication of these concepts to be clear and engaging. I like to think of the mu and epsilon terms (permittivity and permeability constants) as exchange rates that change depending on the material. Thanks for sharing your knowledge and insights with everyone

[@birnenaugustbirnenaugust321]

@@Yellowboxable ...but materials dont change charge. The only thing changinging is earths magnetic field due to missalignment of its axis. Constant pole change changes induced polarity 🙏🏻

[@Yellowboxable]

@sorry I don’t understand. The exchange rate is about how well the electric and magnetic fields propagate through matter. It has nothing to do with changing charge. Hope that helps clear up the language

[@sciencedaemon]

Do you even know the geometric algebra/calculus formulation, recognize its superiority as an explanatory device that does away with needing four equations?

[@mrcbrcc]

The story about Faraday always resonates with me because he was really just observing things in his lab (metal powder creating field lines on paper) and experimentally reached the right conclusions, without any knowledge of advanced mathematics or physics. Essentially, the opposite of Gauss, who was a great mathematician and reached all the right conclusions purely through calculus, without ever experimenting in a lab. Only many years later were other physicists able to confirm through experiments what Gauss had found through math. Personally, I find Gauss’s story more fascinating. All he used were numbers and logic, and through that, he deduced reality.

[@johnritson1]

turns out I did understand Maxwell's equations all along

[@MimoriaJW]

This was literally what we did in class today!!!! Please make another video on the wave equations.

[@sciencedaemon]

That tells me you are being taught the typical slop way of understanding. Geometric calculus formulates these as one encompassing equation. It is the physics you should really be learning.

[@rickcarroll]

These are great videos. I am an old man who loves science and sometimes the "penny never drops", I mean I don't always understand these concepts fully, but your vids make the penny drop. Keep up the great work.

[@alithedazzling]

Thanks for watching! I'm glad I could help

[@FabianIsraelCornejo]

This was such an amazing explanation of Maxwell's equations, I very much agree with the sentiment of needing to gain intuition for concepts like these if one is interested in STEM. I hope you keep this series up!

[@Delan1994]

Thanks for educating us Dr Ali .

[@vanceerickson2538]

That was excellent. I'm a retired chemist who studied Maxwell's equations in physics class a very long time ago, in the integral forms. I can't say I learned anything new from the video, but it's the clearest concise explanation I've seen. Excellent job, and I would encourage you to do more. There may not have been time, but it might interest a lot of people to know that the speed of light can be derived from the constants in the equations, and that was part of what got Einstein thinking about special relativity.

[@derekmillar8032]

As someone who obtained a degree in physics and whose career path took me in a different direction, I am thoroughly enjoying your videos as a rekindling of the youthful passion I seem to still have for these subjects. Thank you!

[@alithedazzling]

thats amazing! thank you for leaving this comment, made my day!

[@Stevenscorch]

Anyone who has a whole degree in physics is a physicist in my book.

[@KraussEMUS1]

I learned Maxwell's equations in my EE classes in college but a more thorough description of them is always much appreciated! Your explanation was really good! Thank you!!! I have the first and only 100% ion propelled vehicles that lift their power supplies against Earth's gravity, videos of them are on my channel! They are patented for lifting their own power supplies and for general efficiency increasing details. They were mainly developed by endless experiments, googling, and improving on what others have done in the industry. They fly utilizing electric fields rather than with propellers.

[@johnandersonirl]

Great explanation and well done. I be been practising engineering for 30 years + and the way you have presented this clarifies a lot of concepts with modelling. Thank you.

[@alithedazzling]

Glad it was helpful!

[@Janova.]

Hey Ali, your explanation of these equations is awesome! I especially liked how you talked about the logic of cause and effect, that really makes it easy to grasp the concepts. I'm watching all sorts of physics videos just for fun, but a lot of the videos on KZbin are either too mathematical/technical or not deep enough for my understanding. I just stumbled across your channel and find the level just right for me. By the way, I am studying Life Science and only had a very basic physics course in my first semester :)

[@johnrendle1303]

Ali- that was the best explanation of Maxwell's equations that I have ever come across on KZbin. It is so heartening to see someone young who is clearly so enthusiastic about physics. You also manage to present them with a degree of humour and humility. Thank you and I wish you all the best for your future.

[@alithedazzling]

Thank you very much John! Glad you like it!

[@johnrendle1303]

@@alithedazzling And thank you for taking the time to reply. I am a radiologist in the UK and teach anatomy, particularly neuroanatomy at university but secretly always wanted to be a physicist. You channel is fantastic- When I think of NASA I think of people like you. BW John

[@ArtFusionLabs]

Hands down the best explanation for these equations I have seen so far and I studied physics for a few semesters (I am a cs graduate now). At university I got the impression that they just tossed those equations at you. I remember talking about the equations to a fellow student who was top of the class (proabably a Ph.D now), asking him how to imagine those equations. He was like: I don't think there is any imagining with this. Meaning he thought it's too abastract of a concept. This frustrated me so hard and was probably one of the things that got me out of studying Physics.

[@CmdrTobs]

In physics undergrad they are fully explained, elsewhere they seemed to be glossed over. I knew a really smart electronic/computer sci professional working with FPGA's who thought the 'impedance of free space' was an abstract titbit with no physical consequence Which basically means he didn't think of antenna's as narrowband transformers…. which must mean he was ignoring a whole load of tools to imagine what was going on…. which basically would cripple him in innovating. This is basically how I carved out a career in this stuff despite being a dunce compared to a lot of top-level people. It's like they are too smart to waste time daydreaming about what every titbit means. A similar thing exists in compsci, I'm sure.

[@marksowers5041]

A refreshing review and pertinent to my understanding. Thank you for such a great breakdown of a famous theory. I learned more in fifteen minutes about Maxwell/Faraday than from any other source. I was in London long ago and dragged my wife into the Faraday museum to see what he was up to. Bless you!

[@alithedazzling]

I didn't even know they had a Faraday museum! I must visit London again

[@lara-wu7nd]

your way of explaining things and understanding of things are so similar to mine’s and for that reason in the video i felt really close to you and that made me understand the material even more and i felt like i made the rightest decision to choose to major in physics one more time too, so really really thank you for choosing to publish this teaching of yours with people♡

[@alithedazzling]

you are very welcome!! if you genuinely believe we are like minded im curious to hear any suggestions or ideas you have for videos to make!

[@exo-580]

i never understood what the del operator means until i did vector calculus,it is weird and you can easily get lost without a solid background in math but im proud of the way ali the dazzling tries to uncover this mystery to many.thank you for your educative content i usually enjoy,from kenya pursuing chemical engineering✌

[@into-xg2iy]

I have never found anyone who explains in such a fun and simple way that you are the greatest teacher❤ What distinguishes you most is that you care about the simple details that may seem confusing and incomprehensible, and you explain them while explaining the lesson.

[@alithedazzling]

Thanks for the kind words! Glad you notice that -- my goal is to give someone a complete understanding

[@Mmmphysics]

Hello Ali. For the first time I was able to take a blank sheet of paper and note down the 4 equations and explain them to myself aloud. I came across your video after googling 'understand electromagnetism intuitively'. This is exactly THE way I study as I feel I need/want to know understand what is being expressed by the, sometimes intimidating, maths equations. I find that my lecturers prioritise the latter.. Again, thank you.

[@alithedazzling]

That's great! Glad it helped :)

[@spartanwka]

Just found your channel with this video. Your explanations are some of the cleanest and easiest to understand I've come across. Would love similar style videos on other topics.. Studying for FE right now!

[@alithedazzling]

That's awesome to hear, good luck with your FE!

[@bryandowdey1779]

Thanks Ali! A very intuitive, clear and helpful explanation. I always shied away from divs, grads and curls in mathematics 50 years ago but now I wish I had taken the time to understand them.

[@wissamd.salman114]

Really love these videos, you took me back 16 years ago to 2nd year EE at Baghdad Univ. Fields lecturers, also i couldn't agree more with what you said about imaging and understanding simple basic physical concepts, i think it's the beauty of physics to visualise how any system works then to see it represented in maths and like oh that's how it is going. Finally i think Richard Feynman once said that you can measure your understanding of an object by your ability to explain it to others. And you know how to break it down and put it all together again in simple and clear way, keep it going.

[@alithedazzling]

Thanks, I'm glad you enjoyed the video! Feynman is a legend!

[@dean532]

10:50 He was a good engineer because he rather got his hands into doing stuff rather than focusing on formulating with the backing of mathematics and/or pure math.

[@chris-tt6yp]

Your videos explaining engineering formulas intuitively are the best! Please do more of these!!

[@alithedazzling]

I'm glad you liked that approach!

[@MeganRock-hq8yd]

Fr

[@Delan1994]

I really enjoyed this video. You should do more of these lectures. I need the learn more about wave equations and go from Maxwell’s equations

[@alithedazzling]

thanks -- i'm thinking about doing more with wave equations next

[@Delan1994]

@@alithedazzlinghi , Dr Ali how are you doing? I’m 30 years old studying electrical engineering technology at a community college. We have an university that offers a B tech degree. My question is what’s the difference between B tech and B engineering degrees and do I get the experience and knowledge needed in engineering?

[@fuzailkhan9701]

My name is Hassan and iam from India. Although i've studied this topic in the same way as you explained but you are such a good explainer Ali please make videos on more advance topics i will definetly watch all your lectures also i would love to see about your intuition on wave equation.

[@ergo6450]

very good video, thanks for doing it. would like to see a second part going deeper in understanding the electromagnetic waves deriving from the equations.

[@raviduprasanna6401]

thats crazy finally understood theory i learnt so far just to solve problem. now i see the insight of these equetion , woow please continue the playlist .

[@Mark-ub2zk]

Great (ie., understandable) video. I always felt I was reaching for something I could quite grab with Maxwell's Equations and your video closed the gap. Physics books and profs need to do more of the cause/effect discussion that you do in your video. It really clarifies things.

[@thanos8246]

i was going to sleep and this showed up in my yt recommendation. Now i have no regrets clicking on this and ruining my past midnight sleep,you succesfully sparked my brain somewhere. Thanks bro, and you doing postdoc at NASA is very impressive and cool. I also dream up to doing my research in such a prestigious place.

[@TheNkeezy]

I’ve never left a comment on a video before. Breaking that streak now to say this video is excellent. 10/10

[@alithedazzling]

Awesome! What did you like most about the video?

[@sarveshrahate86]

3 years of Bachelors course I did not understand Electro dynamics. I think i might understand now. Thanks.

[@isuckatthisgame]

I was literally studying this today and you just dropped the video. I'm a pursuing ICT engineer learning about electromagnetic fields. This helped me immensely. Thank you.

[@tinkeringtim7999]

Salam Alaikum. I was really hoping you were going to go into the fact that these are the Gibbs-Heaviside equations, NOT Maxwell's equations. Maxwell's were 7 quaternion equations (and had more variables). The Gibbs-Heaviside version IS NOT mathematically equivalent to Maxwell's; it captures a certain subset which we've grown used to calling electromagnetic. Maxwell's original equations also cover U(1)×SU(2) AND SU(3) gauge fields. I have a degree in theoretical physics and have studied the history of maths and physics quite carefully. Let me know if you want to chat about it, maybe work on some content together.

[@mathman0101]

Fully agree.

[@pouet4608]

great. i will watch it a few time in loop, then come back to it after working the subject on my side. thank you! yes, a video about the wave equations would be great. thank you for your capsule!

[@albajasadur2694]

Thank you. Your explanation is intuitive and clear. The high math does stop many people from learning physics. You set an excellent example by explaining these Maxwell equations from an engineer's perspective. An audience having a basic knowledge of a few physics laws and a basic understanding of calculus representation is sufficient to understand the meaning of these equations. Well done. I'm expecting your next video on wave equations.

[@alithedazzling]

Glad it was helpful!

[@aaalrahi3445]

Hey man that was the best explanation of these laws I've come across in the internet so far, im so happy to finally have a grasp on how these equations work. May Allah bless you

[@alithedazzling]

Thank you, I'm glad you found it helpful!

[@jeffdorosch336]

Excellent! Perfect simplification of a cornerstone of physics and electrical engineering. You should teach advanced physics for highschool advanced students. Keep up the good work

[@alithedazzling]

Thanks, will do!

[@9jonisi9]

I'm sorry, that's great, but I'm not sure how this is an intuitive explanation. I've studied elec-eng, like the great man Einstein said, " if you can't explain it to a 6 year old, you don't understand it". Great effort. Cheers.

[@alanevery215]

How do you know the six year old got it, exactly?

[@abdesalem-i6y]

i got it :) ​@@alanevery215

[@jeffmackey529]

Good start! Nice to not get bogged down in the math too much! Next run through the integral forms!

[@rajeshvaid9044]

Very nicely & easily explained the concept of Electric & Magnetic field. Most of people get uncomfortable when they come across an equation & the person who converts such equation in a easy to understand language is a good teacher. Please make a video on wave equation...🙂🙂

[@cykratzer3463]

I've never even come close to understanding Maxwells laws. When I was a kid I had an interest in being a physicist until I ran into advanced maths. At 60 I'm making another attempt at becoming more mathematically literate. And Kathy has made me love physics again with her excitement and knowledge of "the lightning tamers". But your video is the first time I've viscerally had some idea of what the laws represent and not 'lost in the greek.'

[@alithedazzling]

very happy to hear!

[@postholedigger8726]

Your explanations are so clear it makes me wonder if the people who gave previous explanations fully understood it.

[@sciencedaemon]

In geometric calculus there is one equation for these four. How is his explanation so clear if he never tells you this. Does he even know it.

[@youlovealex]

"You dont understand Maxwell's equations" You're damn right! 😂 I'm in E&M 1 right now so I'm glad you posted this.

[@alithedazzling]

haha you'll get there!

[@arijkhan3706]

First time I understood what Maxwell’s Field Equations really meant, and how they related to the Physical concepts of Electric and Magnetic Field’s.

[@justinkane290]

I'm taking E&M right now and these videos are helping so much. All we do is math math math but, you're right I'm not getting an intuition for what's happening behind the curtains. Thanks for taking the the time to make these videos. I would like to see an explanation of the relativistic effects of a moving charge, I understand that the E contracts but the charge carrier drift velocity does not seem to be at relativistic speeds.

[@euanthomas3423]

The magnetic field produced by a moving charge is the relativistic effect of the charge. If you move along with the charge you then detect an electric field and the magnetic field disappears.

[@girish-zc8mw]

Thank you for finally opening my eyes on how to visualise and inagine these formulae !!!

[@halim_Ha]

I really think if you turn your content to engenniering courses. This channel would reach millions because you have great ability of delivering information beside the raising enthusiasm in engenniering fields.

[@alithedazzling]

can you tell me more?

[@Liberty4Ever]

I wish I could have watched this video when I was taking Fields & Waves as an EE student in the 1980s. On a related note, public education should be ashamed that its cost has consistently risen between two and three times the rate of inflation since the US federal Department of Education was founded in 1979 while academic performance remained flat or slightly declined, as the Information Age made teaching drastically easier.

[@arockiyalipson5730]

the 15 min changed my understanding of everything in the world , thanks for the explanation

[@alithedazzling]

Glad you enjoyed it!

[@davidnelson4960]

Exactly what we're looking for. An instructive channel.

[@Andrewlohbihler]

Those equations were always intimidating to look at. But your breakdown made it easier to understand. Now I would like you to derive that wave equation !!

[@someoneall]

bro I was literally studying this for college and u miraculously saved me posting this two days ago 😂✨

[@redalexandermadero7290]

Wave equation would be amazing, great video!

[@HardwareScience]

Yes, videos on optics please

[@AugustineAriola]

Nice video Sir. This same concept can also be described using integral function. If you use integral the explanation would be a bit different. Can you use integral to explain the same phenomena to have a holistic understanding of the maxwell equation. When you integrate the effect of the charges over an area in space what do you get? The best approach to explaining the Div of magnetic field is better when you treat the point in space where magnetic field is present as a point of "source" or "sink". If we take the div of magnetic field at any point is space, the more magnetic field enter the point is the more it leave the point hence the net magnetic field at that point is zero. This is so because the more the field leaves the north pole the more it enters the south pole hence no magnetic mono pole unlike electric charges that it's effect can be felt even at "infinity".

[@Ncosta1]

Just had this in my EE class. Great explanation and straight to the point. Thanks! 👍

[@shinymew1213]

I want to say thanks because your videos revolutionized the way i saw physics. instead of seeing it as rules that dictate the universe you familiarized it in a way that made me think of it in a cause and effect logic sort of way. It feels more physical to me now, not as mystical and I think I'm even more interested in physics than i previously was. all the cause effect logic I use in basically every other subject can be used in physics. any logical process or synthetization patter can be applied to physics to deepen my understanding of the world and the models we have for it. Thank you so much. I'm doing so much better and learning so much more from my physics class because of these videos. you also have a lot of good advice for engineering in general. I love your channel.

[@alithedazzling]

thats amazing!! this is exactly why I made this video, very happy to hear it delivered the result!

[@rwharrington87]

Welp, you just gave me the motivation to plow through the last 10 calculus 3 lectures that introduce vector fields and curl. Thanks!

[@Abhimanyukushwahamp2uo]

excellent, I never understood these equations so well when i was in my 12th standard and while preparing for my JEE examination. You have changed my perception about these beautiful equation, thankyou.🤩

[@alithedazzling]

That's awesome to hear!

[@Actor_bad24IK]

As a civil engineer,i do envy top electrical engineers like our guy Ali....E.E is full of maths...unlike civil

[@alguemporai3889]

I'm from Brazil, I started college in electrical engineering three months ago, straight into the 2nd semester, next year I'll be doing the 1st semester, I'm doing very well in derivatives, due to hard work. I wish you all the success, great channel, if you could give me some tips on efficient study methods I would appreciate it

[@tonyschofield4489]

I enjoyed it. I have a maths degree but never understood vector fields. Nabla cross product, dot product, curl etc, completely lost me. I like your layman's way of describing these equations. I would very much like you to take it to the next level where div, curl nabla dot and cross also permittivity and permeability are described in more detail. What they mean and why they describe different behaviors.

[@suleimanhussein6213]

Thank you so much, you simplify the concept and well detailed.

[@Emry11]

Great explanation 👍 Even being a professor myself I liked the way you explained these equations.

[@alithedazzling]

Thank you, I appreciate you coming from a professor's perspective!

[@jaggis4914]

Great explanation! Thanks! I wish there was KZbin when I was in college!

[@alreadyghosts7727]

Thank you for the terrific video! May I suggest that whenever you create a video, you post in the comments two additional resources. One would be a set of at least five textbook problems per concept for the curious to work through that you think would help to achieve a more thorough understanding (please be sure to include solutions). The other would be any lab experiments that you think really gave you a better feel for understanding the concepts. I know it is a big ask, but you seem to have a knack for actually being able to teach this stuff so I'd like to also see what problems and experiments you'd suggest to gain a greater mastery of this subject.

[@faramarzsoltani2564]

The best Maxwell eqn. Lecture I ve seen. thank you.

[@alithedazzling]

awesome!!!

[@Kenshin-uo7ue]

Hello Ali,what a video ! I loved it so much,I’m a French student and I’m studying physics in higher education and your videos help me a lot thanks you so much, I don’t know if it’s possible but I really want to see you make videos about thermodynamics phenomena and the laws about this theme,have a great day/night Ali !

[@smichels5117]

Thank you, Ali! Yes, please follow up with the wave equation video when you can. I appreciate you!

[@JonathanBrettMiller]

Outstanding work, dude.

[@EliasJackson-d5p]

I loved how you broke it down into pieces so that I could really understand the equations

[@alithedazzling]

the system is made of its components!! if you don't understand the components you will never understand the system :)))))))

[@ValleysOfNeptune2150]

fantastic video Mate! thanks so much Interested for a deeper understanding - & would love a video breaking down how to derive the wave equation -

[@anantasadiankhan]

Great video again, would love to see a video on computational engineering

[@alithedazzling]

that's a great idea!

[@anantasadiankhan]

@@alithedazzling Hey man thanks for the reply I am looking forward to your video as computational engineering is a career me and a lot my friends are considering and it is essential in a wide range of engineering and natural science disciplines.

[@alithedazzling]

note: I say 'e' instead of epsilon to describe permittivity because its visually and linguistically easier for my brain to remember English than Greek -- hope you enjoyed the video :)

[@Studystricted]

I also say same 😂

[@Yamahog]

Ali , if "e" = Coloumb's unit charge, ( 1.60217733 x10^-19 ..... ), Wouldn't "E" ,( Epsilon Major), be a better designation? Just wondering ...

[@balasubr2252]

@@Yamahoggood question 🙋

[@coltenhatch426]

I’ll k

[@robtroman7917]

The best explanation of Maxwells equations I’ve ever seen and I’ve seen a lot.

[@alithedazzling]

Great!!!

[@Crystalclear1304]

Yes, please make a separate video about wave equation in terms of Maxwell's equations. Thank you

[@sidstam]

I studied Elect Eng decades ago at uni. (I never proceeded with it in my professional career, sadly.) My lecturers were more for getting on with the maths, less so for intuition and imagination. I envy this internet generation who are exposed to intuitive understandings excellently explained such as this. Well done.

[@erikev]

It is actually quite simple and intuitive. To the point of beauty in its simplicity.

[@andremalki25]

I would love to see a video about the wave behavior!!! Please make it!

[@e.t.161]

This was really helpful - especially what the delta operator is. Now it is so easy to understand - what they actually describe. And to visualize what phenomenon the represent in practice.

[@smolcryingpepo]

love this series Ali, kep up the good work

[@markjohnston6146]

I love it. The equations are two sided, I never got the 4th one before either. You've made it understandable thank you so much.😊

[@FractalswithAbhi]

Nice Explanation! Excellent for a beginner. Kudos! Please give an intuitive explanation about "displacement current" in the 4th equation. Also, (1) put a vector sign on the nabla (del) operator and explain the cause-effect based on the concept of dot and cross product of two vectors and (2) use the del operator symbol and not the differentiation operator in the 3rd law. Finally, I think that electric and magnetic field are perpendicular to each other and not parallel. Sorry, if I am wrong.

[@wojciechjanecki9221]

Very good channel, I am subscribing.

[@alithedazzling]

Welcome!

[@andrew90501]

I have been in the field for years and this is the best presentation I have ever seen

[@Zephyrr25]

Thank you, i am studying GeneralPhysics for my Bachelor's, and i have heard about the maxwell equations a lot but didn't really understand them well , this year, we have a course called electromagnetic Theory that will dive deep into these equations , this video helped me understand the basics quite well .

[@kennethcrandall8131]

Maxwell added his term, not by empirical evidence, but for the beauty of symmetry and thereby deduce the wave equation. Very nice intuitive video! Do more, only a bit more mathematical if possible.

[@woled5318]

Great video! It was fun learning this from mechanical engineering point of view

[@phymo4135]

Bro this was amazing, please do one the wave equation. I am a highschool student prepping for engineering entrance exams and i knew these equations and how to solve questions on them but didnt know about the in this depth.

[@alithedazzling]

That's awesome to hear you're already thinking about this stuff!

[@stevew9945]

please do the wave equations, love your explanation was so clear !!!

[@sylvesterjonas9141]

I am inspired by your achievement as an engineer at NASA. wow.

[@ososonaso]

Thanks Ali for such an amazing way of delivering knowledge!

[@louisalfieri3187]

Really well done. Really well explained. Thank you 👍. You’re a good teacher

[@alithedazzling]

Thanks, I appreciate it!

[@ReyAmv]

Good explanation keep at it bro 👏🏻