Let There Be Light: Maxwell's Equation EXPLAINED for BEGINNERS
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- เผยแพร่เมื่อ 26 มิ.ย. 2024
- 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!
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: th-cam.com/play/PLOlz9q28K2e6aNgl1zt1xccyy4Ofl3YAk.html
Awesome....!! Thank you so much
for sure bro !!!
Quantum mechanics
Amazing
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Roti path dena prompt is tawa
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I love how physics creates serious positive divergence of people in the bar when i start talking about it
😅😅😅😅
Too good 😂😂
Bruuuuh me everytime i discuss about physics
😂😂😂
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.
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!!!!!!
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
Happyness
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.
Same man
5 minutes of happiness / 5 minutes of please follow me.
Be honest.
As an electrical engineering student who is studying these equations, i am very thankful this really makes it a lot more intuitive
Me
Umm, maybe it taught in engineering as well but we had to study it in XII standard.
Almost five years of studying divergence and it only took me 10 minutes to understand the whole concept!
Maybe you were not attending class. Otherwise it doesn’t make sense.
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
Maxwell will be so happy how well someone explained his equation!
Let's Not forget that Maxwell just summarize all the major equations of electricity and magnetism and named those equations after him LOL
@@rashwonsingkai7955 Poor Gauss!
Although I would disagree with the notion that James Clerk Maxwell "just" summarized the equations.
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
Finally some good content recommended
Olé
The world needs teachers like you. Thank you!!!
This is a good teacher. His words are easy to comprehend by a high school sophomore student.
I'm a Physics major and enjoyed the bathtub analogy. That REALLY put Maxwell's first equation into perspective ANY layperson can understand. Brilliant!
The world needs brilliant teachers like you. Cheers.
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❤
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.
Restore faith in TH-cam algorithm, good recommendation
Haha same here 😱😁
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.
I disagree. Some concepts are inherently difficult to understand, quantum mechanics being the best example.
@@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.
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.
@@dhritimanroyghatak2408 I didn't make that connection since strangely enough, relativity isn't that non-intuitive to me.
@@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.
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.
Concise yet simultaneously detailed and a downright engaging way of teaching physics. We need more of this!
You talk at the speed of light. However, you speak VERY CLEARLY. Love your video.
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
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!
I absolutely enjoyed this video, you have such an amazing way of teaching and sharing knowledge. Keep them videos coming
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.
You must be electric, source but no sink... :)
it's B because of the word "bobine" in french, meaning reel.
"a vector field is a field of vectors"
Yes the floor is made out of floor
Hmm this engine is made out of engine
Thats what happen when your comment only comments the video
Well no there isn’t much to it you can assign vectors with a magnitude(it’s length) and direction that’s just it
Duh!
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!
I have almost seen every video on TH-cam 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
Can you please explain all the four maxwell'equatuions
The four equations are by Heaviside and Gibbs. Maxwell had 20 original equations.
@@P-B-G_YT thank you
@@P-B-G_YT (...plus the one cited in the video is Gauss's Law of magnetic flux.)
Paul Getson wOoooOOw u so smart look at u go
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.
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.
Correct! Maxwell did a great job, but without Heaviside to decipher Maxwell's mess, we would not have Maxwell's equations.
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
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."
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…
Ohh ... Thx for your input
I really like your passion and way of explaining things! great content, keep it up!
Absolutely marvelous. Really loved it, I'd love your charismatic energy and enthusiasm. Please do more videos on the other equations.
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.
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!)
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.
I love Physics cuz it's so absolute, it's like a universe's guidebook
every thing is relative....
Quantum physics?
I hate physics😭😭🙂
@@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..
@@supersomething3979 ok
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!
I’m an electrical engineer and I approve this message
How about we approximate sin(x)=x
@@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
@@aryaanarya8825 Or just Taylor series
Aryaan Arya woosh
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.
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
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.
Explained in a very simple and interesting manner, will stay in my mind forever now
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!
I love how physics makes me feel that I fit in and helps me accept my quirkiness
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.
Brilliant. A cogent and lucid explanation. Thank you, Parth.
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.
You are just downright amazing Parth! Thank you for these amazing and such easy-to-understand explanations!!!
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.
You do a brilliant job in explaining really important abd fundamental things. For the first time this equation makes sense to me. Thanks!
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: th-cam.com/video/6Aab3k2nsOY/w-d-xo.html
i love this video thank you!
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.
Fantastic work! Keep it up!
Please do one for all 4 of them!
Now I understand . Please make a video on 2nd Maxwell equation . Thank you.
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.
one of the best vids explaining i understand everything
i love the whole of physics
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!
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
Great job. Stumbled upon this. Very appreciated.
You expain really well.Loved every bit of this video.
Respect and love for you man .... Never understood this equation before
Am a medic student but I really enjoy this....lots of love from India😍
Sorry,in which college u now . M also medico ☺️
You are brilliant at explaining stuff - love the speed and every now and then witty remarks, and the accuracy of your explanations.... Super..
You managed to make one of Maxwell's equations fun while clearly explaining its meaning! Congratulations!
That was a well done simple explanation Parth G. I give it 'a scientists A'.
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 😀👍
Wish we had videos like these when we struggled to understand! Outstanding!
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 ♥️
Awesome man. I am glad yt recomanded this to me.
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?
You are amazing, brother
The entire episode was crystal clear and I enjoyed learning with brilliant examples
This is what i was looking for. Thank a ton. Great work.
Standing ovation to you , truly osm 👏🏼
Can you relate Maxwell’s equations and E&M to Naiver-Stoke’s and Fluid Dynamics?
Woow!!!What a explanation 😱 Finally found the video I was seeking for. Thank you!!
I've just discovered your channel and I already love it! Congratulations for your work! I'm a Brazilian physics teacher, by the way.
Please explain the other maxwell equation. I love how you explain the equation!! Thank you
Totally agree. I would love to see another Maxwell equation video.
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! 😊
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
Very nice and intuitive explanations man... you did such a great job there... thanks!!!
Facinating that we know so much about the house, while knowing so little about the geology its built on.
Physics is simple, when explained by one who really loves it😍😍😍
Superb explanation! This is the first time I got a grip on the Maxwells equations!!!!
Hi Parth, this is an amazing explanation, very glad had found your channel
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.
Mate please upload the rest of the series 😭 including integrals
Integrals are just area under a curve! I wouldn't expect him to make a video of it. Lots of videos elsewhere online!
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!
@@AkamiChannel I think he meant to say the integral form of Maxwell's Equations...
I found this video in my feed. I really enjoyed it - your explanations are interesting and easy to understand!
Excellent explanation of divergence of vector field. Thank you!
"An alleged scientific discovery has no merit unless it can be explained to a barmaid." Lord Rutherford.
I e met some barmaids who were astrophysicists.
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.
Isn't that the one he told his wife?
@@crustyoldfart Feynman said something of that nature too
Hi miss, did you know that your hair has a non-zero divergence? Ooh, and the doughnut you have served has a zero divergence.
H is Magnetic Field and B is Magnetic Flux Density or Magnetic Induction. There is difference between the two.
I'm glad someone eventually said it.
vjankov, thanks I haven't thought about these things in decades, but I couldn't remember B being Magnetic Field
Explanation is just flawless :) thanks
The way you explained is pretty amazing.
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?
If source velocity and sink velocity match, then div is zero.
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!
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!
Wow that was amazing!! It would be awesome to have one video for each of the 4 laws!
so nicely explained! Thanks a lot!
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!
you are talking about doppler
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
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..😊
Great video. Extremely well explained!
u think I'll share this video with my friends?? HELL nuh man this treasure is just for me
Favorite thing about physics is learning about the FUNdamental nature of the Universe. I specifically enjoy Astronomy and Astrophysics
what ever
Check out plasma cosmology, just for kicks.
amazing explanation! Love it, man!
This is such an amazing video!!! Thank you so much, everything was explained extremely well!
the upside down triangle has a name, its the 'nabla operator' also known as 'del' which is closely related to the derivative and gives you the divergence or gradient
Laplacian operator
It’s the gradient operatir
I think ...
Without dot-product it is gradient.
With dot-product it is divergence
I studied math in 1999. I only have vague memory.
@@crisvamc83 at least for physicists I know they use the nabla with the cross product too, it will give you the rotation of a vector field
@@TheYoshi1990 yes ... Curl
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.
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
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