Let There Be Light: Maxwell's Equation EXPLAINED for BEGINNERS

A set of 4 equations that describe Electromagnetism - in this video, I'll be covering just one of them. Because otherwise, I wouldn't be able to do it justice.
Don't worry, you don't need to know anything more than high school mathematics and physics in order to understand this video (assuming I've explained things correctly lol).
Hey everyone, I'm back from a fairly long break with a video on Maxwell's Equations! I asked you guys on Instagram a couple of weeks ago whether you wanted to see a video on Maxwell's Equations or whether you wanted a video on the model of the atom. Maxwell's Equations won out, so here we are.
Thank you so much if you voted in my poll, and if you don't already then follow me on Instagram (and Twitter) @parthvlogs
So, the Maxwell Equation I'm covering in this video states that the Divergence of a Magnetic Field is equal to Zero. In order to explain what this means and what it implies, I realised I had to describe what "divergence" meant, and in order to do that I had to describe what vector fields are.
So that's exactly what I've done. Firstly, we discuss vector fields and a few examples of vector fields, and then we discuss how to find the divergence of a vector field in a fairly intuitive and visual way (without going too much into the mathematical gore). Finally, we go on to looking at what this particular Maxwell Equation says about magnetic fields, and the implications of this - that there is no such thing as a magnetic monopole (single pole), and that there are no sources or sinks of magnetic field. This is why any magnet will always have a north AND a south pole - even when we cut a magnet into half, we get two smaller magnets which each have two poles. Thus, no evidence of a magnetic monopole exists to this day.
This video goes into quite a lot of detail, so if there's anything that isn't quite clear enough, then feel free to let me know in the comments.
Finally, thanks so much for watching. Feel free to drop this video a like, and subscribe to my channel if you haven't already. Hit that bell button if you want to be notified every time I upload - I make fun physics videos, though I don't have to try too hard because physics is already fun!

[@ParthGChannel]

Hey everyone, if you enjoyed this video, then there are 2 more videos on Maxwell's Equations in my playlist on this topic. I've just released the latest one, so go check them all out here, if you want to see more: kzbin.info/aero/PLOlz9q28K2e6aNgl1zt1xccyy4Ofl3YAk

[@ayeshasiddiqha2107]

Awesome....!! Thank you so much

[@anant_singh]

for sure bro !!!

[@sivasai394]

Quantum mechanics

[@fasilv843]

Amazing

[@anilsharma-ev2my]

Path Pathway. Kartavaya path Path padhana Pather Pather ki lakeer Path dena gobar Palothan for ata choon Roti path dena prompt is tawa Roti path lo ????

[@spwim]

I love how physics creates serious positive divergence of people in the bar when i start talking about it

[@sankarabharathisrinivasan9474]

😅😅😅😅

[@ekagranigam2813]

Too good 😂😂

[@BrikaEXE]

Bruuuuh me everytime i discuss about physics

[@p.rajpreethi7048]

😂😂😂

[@QuestionYourWorld]

I would love to get drunk and talk about the nature of the universe.... But I literally have no friends that are interested in any of my core interests.

[@farhannoor3935]

This...just this 10 minutes of my life is called happiness...vector fields..divergence..I get it...I finally get it....thank you...THANK YOU!!!!!!

[@farhannoor3935]

Omg Parth actually hearted my comment.....btw I am actually just 3 weeks away from starting undergrad Phys...finished high school this summer now just waiting for Jan..wish me luck man Much love, A follower

[@vipulgp9843]

Happyness

[@matthewocadiz7333]

Goodluck with ur physics undergrad! It can feel awfully like your not cut out for it at times but just remember, everyone feels that way at some point.

[@wamiqfarooq5030]

Same man

[@derinus]

5 minutes of happiness / 5 minutes of please follow me. Be honest.

[@alial-ameri444]

As an electrical engineering student who is studying these equations, i am very thankful this really makes it a lot more intuitive

[@Shahzaib.Haider]

Me

[@Don-tCareAboutNameStuff]

Umm, maybe it taught in engineering as well but we had to study it in XII standard.

[@Winters11]

The world needs teachers like you. Thank you!!!

[@XxPlayMakerxX131]

Finally some good content recommended

[@PRO3LEMS]

Olé

[@nirmalas1747]

Maxwell will be so happy how well someone explained his equation!

[@rashwonsingkai7955]

Let's Not forget that Maxwell just summarize all the major equations of electricity and magnetism and named those equations after him LOL

[@robertstEEEven]

@@rashwonsingkai7955 Poor Gauss!

[@robertstEEEven]

Although I would disagree with the notion that James Clerk Maxwell "just" summarized the equations.

[@MiltonSmith]

The equations attributed to Maxwell are the work of Oliver Heaviside. In Maxwell’s day they used a different style math, Hamiltonians. Parth does a great job on presenting difficult concepts while keeping everything interesting. Enjoy! Ref info: Oliver Heaviside: The Life, Work, and Times of an Electrical Genius of the Victorian Age, Nahin

[@berniemukonesi2684]

Almost five years of studying divergence and it only took me 10 minutes to understand the whole concept!

[@justlikethatnowadays8454]

Maybe you were not attending class. Otherwise it doesn’t make sense.

[@gabrielgranberg9154]

tbf, Uni proferors are usually pretty bad teachers. They are great researchers but a lot of them have a hard time teaching you complicated concepts if you are not as intelligent as they are.@@justlikethatnowadays8454

[@user-vl2wc3sm8i]

Trust me I never really write comments on you tube. But this is to tell you that you're knowledge and explaining them in the simplest way possible is amazing. I've never really thought of these ways to understand Maxwell equations. It feels like confidence. Thank You❤

[@oppanheimer]

The world needs brilliant teachers like you. Cheers.

[@kandaman304]

I'm a Physics major and enjoyed the bathtub analogy. That REALLY put Maxwell's first equation into perspective ANY layperson can understand. Brilliant!

[@Eztoez]

This is a phenomenal video. You are the teacher I wish I had at school. Im 49 years old and learning Gauss's Law for the first time. I can actually feel my brain learning. I hope you cover the other three laws just like this.

[@henrychen9707]

This is a good teacher. His words are easy to comprehend by a high school sophomore student.

[@Imnothere59]

Restore faith in KZbin algorithm, good recommendation

[@raduamarie]

Haha same here 😱😁

[@calogiga]

I have always said : when somebody is able to explain physics, this science is not difficult. You just need a normal brain, and everybody can understand the laws of nature... Thanks for this video, man.

[@SoumilSahu]

I disagree. Some concepts are inherently difficult to understand, quantum mechanics being the best example.

[@dhritimanroyghatak2408]

@@SoumilSahu Even maxwells equations will become challenging once u start digging deep into it. Maxwells equation have deep links with relativity and was actually the motivation for developing relativity.

[@dhritimanroyghatak2408]

I disagree, everybody can't understand these. All most of the people do is get some information about the topic. Thats what mostly happen in y-tube lectures. Most people think they understood because they are actually visualising only a tiny tip of the iceberg of the total complex nature of reality. Maxwells equation span way beyond classical field theory and goes on in relativity and Quantum field theory. The true interpretation of his equation lies in these theory but yeah a good intro to Maxwells equations no doubt about that.

[@SoumilSahu]

@@dhritimanroyghatak2408 I didn't make that connection since strangely enough, relativity isn't that non-intuitive to me.

[@dhritimanroyghatak2408]

@@SoumilSahu I know u didn't. All I'm saying is what people think as understanding a topic is merely getting some information on that topic. The deep relation of Maxwell's equation with relativity is the heart of the subject with this just being a tip of the iceberg.

[@the_m.a.d.d.y]

I never thought that this equation would ever get into my mind. I am smiling and my mind is just blown in these 10 minutes. Thank you for such a beautiful explanation.

[@bilaltq.]

Concise yet simultaneously detailed and a downright engaging way of teaching physics. We need more of this!

[@realmetatron]

About B: Maxwell just used the letters A through H for vectors in his Treatise on Electricity and Magnetism and some of them stuck and some of them didn’t. A is still used for vector potential, B for magnetic field (or magnetic induction or flux density, depending on who you ask), H for magnetic intensity, etc. Maxwell used C and G for other vectors that I don’t recall at the moment. They, for some reason, never stuck.

[@anthonyglover8516]

You must be electric, source but no sink... :)

[@sarrachouk4113]

it's B because of the word "bobine" in french, meaning reel.

[@vedsaga]

What I love about physics and astronomy is this, "It has been said that astronomy and physics is a humbling and character-building experience. There is perhaps no better demonstration of the folly of human conceits than this distant image of our tiny world. To me, it underscores our responsibility to deal more kindly with one another, and to preserve and cherish the pale blue dot, the only home we've ever known." -- Carl Sagan

[@silversurfer493]

Hi, I really like this video. You nailed it down to the essentials. Many textbooks just assume that the reader knows all the symbols and what is behind them, when in fact many people lacked the formalism and math behind these symbols. So , well done. Thank you!

[@gilernt]

crazy how it's been around 4 years since the first time i watched this video back in honors physics in my junior year of high school. i had no idea what i wanted to do in college, but now going into my junior year of a mechanical engineering degree with a robotics minor, i can confidently say that i picked the right field AND this video DEFINITELY influenced my passion for physics and the quantum realm. i just started reading vol.2 of feynman's lectures and i hope to get through quantum stuff vol.3 by the end of the year. so, thank you, parth!

[@catman8965]

You talk at the speed of light. However, you speak VERY CLEARLY. Love your video.

[@narentherans6945]

Can you please explain all the four maxwell'equatuions

[@P-B-G_YT]

The four equations are by Heaviside and Gibbs. Maxwell had 20 original equations.

[@twentypruno7774]

@@P-B-G_YT thank you

[@MirlitronOne]

@@P-B-G_YT (...plus the one cited in the video is Gauss's Law of magnetic flux.)

[@thebogg5how]

Paul Getson wOoooOOw u so smart look at u go

[@medexamtoolsdotcom]

That's easy. The one he mentioned is del dot B is 0, that's that there are no magnetic monopoles. Another one is del dot E is charge density divided by epsilon, which is the permittivity of free space, that says that the divergence of electric field equals the charge density. The next one is del cross E is -dB/dt, that is, the CURL of the electric field, which measures how much electric field circulates around in a circle, is equal to the (negative of, but it doesn't matter, if you defined north and south poles to be the other way around, or electric charge to be the other way around) time derivative of the magnetic flux at that point, that is, how much magnetic field changes over time. This is that whole deal where you can generate electricity with a moving magnet. And the last one is del cross B is I (current density) divided by mu + dE/dt divided by both mu and epsilon. mu is the permeability of free space, a measure of how easily it is magnetized, while permittivity is you could say, how good something makes as a capacitor. Magnetic materials artificially raise permeability, for instance iron, while insulators raise permittivity by a factor, and that is what their dielectric constant is, and raise the capacitance of a capacitor with that insulator as its dielectric. When you put these 4 equations together, you can get the wave equation in 3 dimensions, with a speed of the reciprocal of epsilon times mu, which is of course the speed of light. There's a common t-shirt you'll see in physics circles, it says "and god said" and then it lists Maxwell's equations, and then "and there was light". And now you get the joke, if it was ever a mystery to you. I got rid of mine since religious or new age nitwits would come up to me and think I was one of them and it's really not a very funny joke anyway.

[@EEShyama]

I was struggling with this topic for weeks even after watching many videos. This was the only video that made sense to me. Thank you so much!

[@Huppyhuppyhuppy]

Finally I understand this after jumping from video to video, most assume we know what they are saying, and brush off in a sentence or 2 everything you explained in this video. Here you break it down in detail. I will dig into your other videos now. Thank you

[@markdonovan1540]

Vector field: a good analogy of the wind on a weather map. Divergence: bathtub analogy works well. It's many years since I studied electromagnetism, so it's nice to have a fun refresh without all the mathematics. Although, the mathematical equations have powerful applications. A nice follow up subject would be to look at bubble theory, surface tension etc. That has amazing parallels with electromagnetism, yet it is something that everyone can visualise but few would know how or why the soap films behave in those mysterious ways.

[@pigsbishop99]

A lot of people don't seem to know that the vector equation presented here as Maxwell's was in fact formulated by Oliver Heaviside. Maxwell came up with the 12 equations which Heaviside vectorised and distilled down to 4.

[@AB-db1pz]

Correct! Maxwell did a great job, but without Heaviside to decipher Maxwell's mess, we would not have Maxwell's equations.

[@lomash_irl]

is it true that when maxwell considered and used the mathematical form of faraday's law in work and later sent it to sir faraday, he saw Maxwell's letter Michael Faraday cried

[@Zoahhh]

What amazes me the most is the fact that Heaviside was a self taught engineer and mathematician . "I remember my first look at the great treatise of Maxwell's when I was a young man... I saw that it was great, greater and greatest, with prodigious possibilities in its power... I was determined to master the book and set to work. I was very ignorant. I had no knowledge of mathematical analysis (having learned only school algebra and trigonometry which I had largely forgotten) and thus my work was laid out for me. It took me several years before I could understand as much as I possibly could. Then I set Maxwell aside and followed my own course. And I progressed much more quickly... It will be understood that I preach the gospel according to my interpretation of Maxwell."

[@michaelmounts1269]

there really are subtle profound implications in the originals…if you have a LOT of time on your hands…instructive to work thru…they actually all kind of fit together…

[@crisvamc83]

Ohh ... Thx for your input

[@jacomostert4413]

Thank you. Most amazing, best, fast paced (good thing), content rich, intuitive explanation I have seen, including my grad school EM course 34 years ago. Well done. Subscribed.

[@eptehal1]

I absolutely enjoyed this video, you have such an amazing way of teaching and sharing knowledge. Keep them videos coming

[@rom8428]

"a vector field is a field of vectors"

[@lietpi]

Yes the floor is made out of floor

[@ytbvdshrtnr]

Hmm this engine is made out of engine

[@avideosomeday3913]

Thats what happen when your comment only comments the video

[@colewalker2916]

Well no there isn’t much to it you can assign vectors with a magnitude(it’s length) and direction that’s just it

[@jooei2810]

Duh!

[@csaracho2009]

5:45 “Overall there is no flow into the circle or out of the circle”...I would say instead they are equal in size so there is no accumulation inside the circle. (Flows are in and out of the circle!)

[@sateeshprathapani4608]

I agree, divB at a point is zero means that the perticular point is neither a source nor a sink. I.e amount of filed lines coming in are equal to going out, i.e. a steady state. This logically concludes that B field lines are in loops with apparant visualization of starting at one pole and reaching the other. This video gives some glimse of div B.

[@HappyHappy-ej5lj]

I have almost seen every video on KZbin regarding divergence but didn't understood any of them but you finally made me understand this concept. A big Tank You and please never stop making physics videos

[@silviang.9428]

I like your way of explaining. It somehow shows how much you like not only explaining these things, but also somehow enjoy understanding it. This could inspire people to do the same.

[@ParthGChannel]

Hey guys! A lot of you seemed to enjoy this video and requested me to make another one... so I made a follow-up! It's a 20 minute thriller (or boring-er, who knows) on another one of Maxwell's Equations. Check it out here: kzbin.info/www/bejne/bHLEk2ahZ9Omhbs

[@bensonkwok951]

i love this video thank you!

[@P-B-G_YT]

There are 20 of Maxwell's equations. The four you're talking about are Heaviside's equations, which are not the same. I wish you'd do a video about Maxwell's actual equations, and how they work. I'll especially be looking forward to your explanation about quaternion math. Thank you.

[@ManinderKalsi]

Fantastic work! Keep it up!

[@SteveJobzz]

Please do one for all 4 of them!

[@jaidhanki]

Now I understand . Please make a video on 2nd Maxwell equation . Thank you.

[@codewithdevhindi9937]

wow! man i have subscribed the channel after seeing this video just because of the hard work that's put into it everyone is explaining all the theorys in probably a 11 minute video but you are the only person who has put the work into this and explained it sooooooo easy... Grand Salute

[@jyothish99]

Nice explanation man , I am a CSE student and yet i've completely understood what you said and had fun listening to it. All the best. We need more people like you in schools and colleges.

[@GuyusSeralius]

You explained that all so very well and even managed to keep it light and humorous! I was surprised that I was able to completely follow it all the way through thanks to your unique communication style. Well done!

[@landonschneide.r]

I’m an electrical engineer and I approve this message

[@erwinschrodinger9693]

How about we approximate sin(x)=x

[@aryaanarya8825]

@@erwinschrodinger9693 for x to very small , sin(x) comes out to be nearly x it can be proved by using the knowledge of limits that u can find out i.e. limit when x approaches 0 then sin(x)/x = x..that's it

[@Moreoverover]

@@aryaanarya8825 Or just Taylor series

[@danibaba7058]

Aryaan Arya woosh

[@handhdhd6522]

Erwin Schrödinger I hope you know that’s only an example of simple harmonic motion which is defined as small angle oscillation and that simplification is made a joke out of. In reality, using an approximation is much more rare that you think and some level of rigor is upheld, approximations are only used to find analytic solutions when it’s difficult to do otherwise.

[@suvrotica]

Absolutely marvelous. Really loved it, I'd love your charismatic energy and enthusiasm. Please do more videos on the other equations.

[@eyewaves...]

You are brilliant at explaining stuff - love the speed and every now and then witty remarks, and the accuracy of your explanations.... Super..

[@jorgewilbertgonzalezcruz4273]

Excelent video! 5 years in engineering and I just tunderstand now this. My favorite thing about physics is how they work together and perfect fit with math.

[@caigner]

You do a brilliant job in explaining really important abd fundamental things. For the first time this equation makes sense to me. Thanks!

[@MrAndreaCaso]

This is glorious! A couple of weeks ago my gf and I watched the episode of the Big Bang Theory you were referring to, and I told her why that expedition was hugely important. I'm not a physicist (my first degree is in engineering) but I told her about the equation and the magnetic monopole. She found it as fascinating as I did when I discovered this fact a few years ago. What an excellent job you did explaining this beautiful equation, Parth. Thank you so much! Keep up the great work. Andrea.

[@sofacritic]

Thank you soo much for such understandable explanations and examples! I've watched about 4-5 videos on the same topic and understood what is going on only after watching your video

[@TheAbhro]

Explained in a very simple and interesting manner, will stay in my mind forever now

[@srinuisnow]

Brilliant. A cogent and lucid explanation. Thank you, Parth.

[@sinanami9929]

I love the content. You are a great example of a good creator that wants to provide to its audience. You actually go throw all the details instead of refereng to us to go and watch other videos first inorder to keep up with this one. Like you explained the concept of divergence in every single video in these series so me as a new viewer don't haft to watch ten other videos before this one that I'm interested in. This I call an excellent content. You just got a new subscriber!

[@nilberthsouza]

You channel is the best thing that happened to me nowadays. I am learning a lot of useful things. Thanks, mate!

[@simon-pearce]

Keep going! These videos are great! Get that Cambridge physics knowledge and teaching skill shared whilst it’s fresh. I think lots of people will find this current series useful

[@sisis608]

it took me 4 years to clear this exam in college because I never understood the physical or real-life applications or meanings of these topics .. If only I had a teacher like this,, thank you for your amazing work!

[@harithalakmal3506]

I’m so jealous on you for how you are explaining those phenomenas from your simple examples.That’s the way how I’m always trying to teach my students also.I love your teaching.you are amazing ! ♥️ keep up the good work ♥️

[@suparnaprasad8187]

You are just downright amazing Parth! Thank you for these amazing and such easy-to-understand explanations!!!

[@asim-gandu-phenchod]

Respect and love for you man .... Never understood this equation before

[@donboser9673]

Great introduction to Maxwell’s Equations. In my mind you really described divergence well. Please try to cover all the equations and explain why there are differential and integral versions of the equations?

[@iasonkostellenos8341]

I really like your passion and way of explaining things! great content, keep it up!

[@ThefamousMrcroissant]

Wonderful explanation. Well spoken, well structured, analogies make sense in the context of the topic and you're an overall charismatic guy.

[@accidentalscientist9820]

That was a well done simple explanation Parth G. I give it 'a scientists A'.

[@zona8224]

Awesome man. I am glad yt recomanded this to me.

[@digitalarts8600]

VERY well spoken in English and clearly explained in basic layman's or ordinary language without using complex vocabulary. Wonderfully presented please don't stop doing this is great for all confusing high school and college or anybody who wants to learn advanced science and math in a simple way to start..😊

[@nishthasharma22]

You are amazing, brother The entire episode was crystal clear and I enjoyed learning with brilliant examples

[@mousumisarkar5679]

I love how physics makes me feel that I fit in and helps me accept my quirkiness

[@edsharman7037]

I am 64 years old and for some odd reason I have a ‘bucket list’ desire to understand Maxwell’s equations - odd and possibly rather sad I know. Anyway, after watching and reading many things on the subject I came upon your explanation, and all I can say is thank you very much I am now a step closer, the best explanation thus far in my view. Very nicely done and much appreciated 😀👍

[@cahammernolastname2815]

Just Maxwell’s Equations? I’m 74 years old and I also want to understand Quantum Field Theory.

[@8monocerus8]

@@cahammernolastname2815 Just Maxwells‘s Eqations and Quantum Field Theory? I am 101 years old and I also want to win a Nobel Prize in physics

[@petrmasek4506]

@@8monocerus8 What?! Wait, wait a minute there. Just to win a Nobel Prize in physics? I'm 121 and I've done it all.

[@leighb413]

I love how without physics, we probably wouldn't be here at all. I also love that you have explained Maxwell's Laws so that I could understand them in less than 30 minutes. I took a class that covered it and took a week to get the same content. Well done!

[@VehlaEngineer_]

This is what i was looking for. Thank a ton. Great work.

[@rachealthoi6546]

Am a medic student but I really enjoy this....lots of love from India😍

[@girirajkashyap2912]

Sorry,in which college u now . M also medico ☺️

[@supersomething3979]

I love Physics cuz it's so absolute, it's like a universe's guidebook

[@dakshrana5538]

every thing is relative....

[@shrirammaiya9867]

Quantum physics?

[@Kat-rj7wx]

I hate physics😭😭🙂

[@supersomething3979]

@@Kat-rj7wx u hate the frustration of not understanding,once u grasp a concept u will be amazed by the sheer elegance of a system..

[@Kat-rj7wx]

@@supersomething3979 ok

[@jabintv9651]

Superb explanation! This is the first time I got a grip on the Maxwells equations!!!!

[@BradLehmannArt]

I found this video in my feed. I really enjoyed it - your explanations are interesting and easy to understand!

[@deadhara3426]

Please explain the other maxwell equation. I love how you explain the equation!! Thank you

[@riccardocelori1101]

Totally agree. I would love to see another Maxwell equation video.

[@vanshika7754]

Standing ovation to you , truly osm 👏🏼

[@ne3o0]

I've just discovered your channel and I already love it! Congratulations for your work! I'm a Brazilian physics teacher, by the way.

[@nethmisathsarani1679]

Woow!!!What a explanation 😱 Finally found the video I was seeking for. Thank you!!

[@curtpiazza1688]

I love the bath tub analogy for divergence! 😂 I love seeing advanced mathematics applied to physics...not merely learning the math theories! Physics applications get you thinking about the math you just studied! 😊

[@DanielVijayk]

Maxwell just used the letters A through H for vectors in his Treatise on Electricity and Magnetism and some of them stuck and some of them didn’t. A is still used for vector potential, B for magnetic field (or magnetic induction or flux density, depending who you ask), H for magnetic intensity, etc.

[@tawsifdayan1386]

one of the best vids explaining i understand everything i love the whole of physics

[@claudefazio]

You managed to make one of Maxwell's equations fun while clearly explaining its meaning! Congratulations!

[@barrjohnm]

Can you relate Maxwell’s equations and E&M to Naiver-Stoke’s and Fluid Dynamics?

[@karthikeyanachari3556]

Physics is simple, when explained by one who really loves it😍😍😍

[@robertobomfin3787]

Very nice and intuitive explanations man... you did such a great job there... thanks!!!

[@A_Pyngrope]

I enjoy your videos alot. Being a physics student.. it motivates me more... Our teachers never teach us this way... That's why sometimes I find physics boring... Thank you again for making the subject so interesting

[@waynemcnab9496]

Facinating that we know so much about the house, while knowing so little about the geology its built on.

[@climbeverest]

One miss if I may call it that is that the water flow is also a div=0 because water inside the tap is flowing like inside the magnet, sorry for nitpicking, but the analogy makes sense!

[@MrNerdpwn]

There is no mistake in the explanation. The water leaving through the plug or sink does not come back to the tap or source through some external pipe (at least not mentioned in the video). The tap and plug situation is not like a magnet, it's like a pair of positive and negative electric charges, like electric field flowing from a positive to a negative charge. There is net divergence!

[@saileshraut7151]

You expain really well.Loved every bit of this video.

[@davidricardobarrerapinto3165]

Hi Parth, this is an amazing explanation, very glad had found your channel

[@knightwik]

Hey, great video! So I was just wondering what if the circle region you choose for divergence as the whole vector field, for example, the bathtub scenario you gave, what would be the divergence then? positive, negative or 0?

[@crisvamc83]

If source velocity and sink velocity match, then div is zero.

[@akilaava2490]

Great work! Finally Mystics of Maxwell revealed! My fav part of physics is Newton's law of physics It is much simpler than any other And also Einstein's theory of relativity It just breathtaking.

[@yogeshdangi3253]

Please keep going and make more of such videos... My favourite thing about physics is that it has no boundaries and you can enjoy your adventure endlessly throughout your life.

[@denveryahr8562]

Great job. Stumbled upon this. Very appreciated.

[@robertdelamaire1671]

When I was in physics class years ago, my instructor covered an equation that explained when a car is driving toward you honking its horn, how to tell how fast it was going. Could you cover that one? Thank you in advance, AWESOME VID BTW!

[@brb4903]

you are talking about doppler

[@vjankov]

H is Magnetic Field and B is Magnetic Flux Density or Magnetic Induction. There is difference between the two.

[@rogeronslow1498]

I'm glad someone eventually said it.

[@jamescollins4500]

vjankov, thanks I haven't thought about these things in decades, but I couldn't remember B being Magnetic Field

[@rogerharrison8355]

I think this guy is great. I've always had a love of physics and I like it's purity and honesty.

[@bernardogonzalezblanco5497]

Thank you thank you thank you very much for this information, no one ever explain this concepts this easy before!

[@anotherviewofthings]

Nice video. It's always good to revisit these complex models and relations. One critique: B stands for magnetic flux density or magnetic induction vector, not for magnetic field vector. These are related, but hey, why not using correct terms?

[@-danR]

It is largely a matter of preference and convention. See "The *magnetic field vector* B at any point can be defined as..." (B Field, Magnetic Field, Wikipedia.) And: "Alternative names for B: Magnetic flux density Magnetic induction Magnetic field (ambiguous)" ibid. This leeway is without dispute in the article's Talk page.

[@fwm146]

Mate please upload the rest of the series 😭 including integrals

[@AkamiChannel]

Integrals are just area under a curve! I wouldn't expect him to make a video of it. Lots of videos elsewhere online!

[@AkamiChannel]

The equations of integrals are just the opposite of the derivative. So, learn how to do derivatives, and then look up how to do integrals and u should be good!

[@charliewu4110]

@@AkamiChannel I think he meant to say the integral form of Maxwell's Equations...

[@lucasl.s.7831]

Wow that was amazing!! It would be awesome to have one video for each of the 4 laws!

[@Bruh-rj2so]

I like how everything is physics is actually linked if you go deep enough into trying to understand them. And in doing so look at more complex models that unify every topic in physics so very clearly!

[@rohankademani6406]

I wish you could teach in our class Anyone would pay to watch such a useful content I dont know how to thank u best explanation sir

[@graphicconception]

"An alleged scientific discovery has no merit unless it can be explained to a barmaid." Lord Rutherford.

[@michaelgraff6978]

I e met some barmaids who were astrophysicists.

[@crustyoldfart]

Kurt Vonnegut said something similar [ and I paraphrase ]: if you cannot explain what you are expounding to a seven-year-old, then you are probably a charlatan.

[@Bless-the-Name]

Isn't that the one he told his wife?

[@a.gabbey5569]

@@crustyoldfart Feynman said something of that nature too

[@abhijitborah]

Hi miss, did you know that your hair has a non-zero divergence? Ooh, and the doughnut you have served has a zero divergence.

[@robertklem2638]

Having my exams on electricity and magnetism tomorrow, although I studied it already it was very nice to get a bit of life and excitement for physics from this video. Thanks man, have a good one!

[@ths3100]

Excellent explanation of divergence of vector field. Thank you!