LET THERE BE... Voltage? | Maxwell's Equation #2 Explained for Beginners
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- Опубликовано: 8 июн 2024
- The second Maxwell Equation made simple!
Hey you lot, I'm back with possibly my longest physics video yet - hopefully it's digestible haha! A lot of you enjoyed my previous video on one of Maxwell's Equations of Electromagnetism (check it out here: • Let There Be Light: Ma... ) and asked me to make a follow up. Therefore, here I am explaining another one of these equations (2 more to go!)
In this video, we're discussing the Maxwell Equation that links the contribution of an electric field around the perimeter of a surface to the rate of change of magnetic flux through that surface. In other words, this Maxwell equation is a very rigorous way of encoding the effects of electromagnetic induction. Some of you will be familiar with this concept, having learnt about how moving a magnet in and out of a coil of wire generates a voltage (or e.m.f.) across that wire. If the wire is a closed loop, this allows a current to pass through the wire.
Along the way, I explain all the symbols in this equation and what they mean. We briefly discuss the vector nature of electric and magnetic fields, as well as how these are relevant to the little vectors that we break up our surface, mentioned earlier, into. We also have a look at the meaning of the squiggly "S" symbols seen on either side of the equation - more commonly known as the integral symbols. Hopefully by the end of this video, you should be able to roughly understand what each symbol in the equation means, and how it relates to quantities that we can actually observe in real life and measure. As a young physics enthusiast, one thing I always found difficult was understanding these complicated equations and how they linked back to real life. How could this mathematics that looks so complicated (yet relatively simple considering it describes ALL of electromagnetism) be translated into a description of our reality? That's the question I'm trying to help answer here.
If there's anything that's unclear then do let me know in the comments and I'll try and clarify. Let me also know if I've made any errors!
If you enjoyed this video, then please consider hitting the thumbs up and subscribing to my channel. Also follow me on Instagram @parthvlogs for physicsy updates, and on Twitter @parthvlogs for some groan-inducing physics puns.
See you soon!
Hey everyone, thanks so much for watching! If you enjoyed this video then please do check out the other two Maxwell Equation videos I've made in my playlist here: ruclips.net/p/PLOlz9q28K2e6aNgl1zt1xccyy4Ofl3YAk
I'm a student in a french engineering school, and i can say you did great job
@@romaindec1717 hey i have a question. there is another notation to represent the same equation? and why is minus the change of the magnetig velocity through the surface. I enjoyed a lot you video.
Great work ! Would love to see more videos on electromagnetism !!
great video man, but i would suggest you to increase the amplitude of the sound wave that comes out of your mouth
Can you please translate these videos into Arabic?
The first ten minutes of this video are the most concise summary of calculus I've ever seen.
That was just an explanation of definite integrals and what are vector fields. So it's not all calculus.
While the explanation for definite integrals was good, that's not a summary, that's how it's explained and introduced to students in any textbook; it's actually a common explanation.
@@altuber99_athlete True, but still an incredibly concise recap! kudos
I love how you just casually described integral calculus as a precursor to talking about electrodynamics
Hands down the best videos explaining maxwells equations I’ve ever seen. Keep it up!
And calculus!
If I had these videos at Uni, I’d have dove do much better, especially early on. He has the clearest explanations I’ve ever heard.
Straight facts
Parth...just a suggestion. Put the light off to the side and we won't be distracted from your excellent presentation by the flickering reflections of the circular bulb in your glasses as you move your head back and forth.
Even better...get 2 lights, put them off to each side. Nice warm look...
True 🥺
Oddly enough from a totally stylistic position I actually think the circle effect being reflected is dope. 😁
I actually don´t care at all.
@@ParthGChannel YOU LOOK LIKE A VAMPIRE!!!
I know that's good advice, but for me the lighting the way it is is a small part of the charm of these videos.
As a senior electrical engineering major (4th year) I have been using Maxwell's Equations without a concrete understanding for 2 years now. In under an hour, I have learned more than EMAG ever taught me. Please Please Please continue this series (it earned my sub quick!) Thanks Parth!!!
If you already know integrals, you can skip to after 9:00
I should have looked for your comment before... That said, it was a cool explanation, hope it will be useful for many watchers.
Thanks
I know integrals, but still I devoured it cause I love his explanation so much.
@@muktamalakar5771 +1
@@muktamalakar5771 Well said!
Parth!
You are amazing!
Please do the rest of Maxwell's equation in all different forms.
Thank you so much! 👏👏👏
Just discovered his explanations and I believe he provides outstanding insight into difficult concepts.
He did a better job than my 3rd year electrical engineering profs. EM is hard to teach.
@@shaygahweh What's hard about electric charges being accelerated in electric fields?
Yes your explanations are excellent! Three years of physics in 20 minutes is a feat!
Being an electrical engineer I have reached heaven now
I was an electronics engineer and no professor in my clg has explained the concepts this good
I am a biologist. Your videos makes me want to go back to my undergrad math and physics textbooks to try to understand these things on a deep but now more intuitive level. That is a feat of *magic*!
Hey Parth, please upload other two Maxwell equations as well.
This was not just the best video explaining Maxwell's equations I've ever watched, but one of the best explanations of integration I've ever watched! Even though I'm pretty comfortable using calculus, I finally feel like I really "get" the notation on a conceptual level now. Thank you so much!
love this guy. For an old biochemist like me who struggled with Physics really illumination. I am a Scot like Maxwell so good to see him getting a mention
I am spell bound with the explanation. Being a Electrical Engineer I can say this is the best explanation of Maxwell's equation I had ever seen.
Ima be honest. I never really properly appreciated the line integral until i studied complex analysis.
Beautiful subject indeed. It has something that makes you appreciate mathematics by itself.
K
I cant believe this was all I needed to understand my electromagnetics class
You actually deserve order M of subscribers, not order k.
“Genius is making complex ideas simple, not making simple ideas complex.” Albert Einstein
Thank you for saving me endless frustrating hours of going through very thick textbooks.
This is excellent. I'm going to watch it a few more times.
i like how you make it so easily explanible with all of those complex phisicys while having a level of mathmatics included and having some kind of rigor and not simply saying like oh wow and explain stuff in calculas so easily even a child could understand it
The insight you probide is really rare.. i always wanted a bada bhai like you who would explain these amazing phenomenon...thank you for that.
I've just "discovered" this channel and I must say it's awesome! Being an engineer in telecommunication myself I already knew the subject, but I never heard before such a good explanation for beginners about an apparently complex topic. Good job Parth, and keep it up!!! I'm sure your videos will help tons of students!
Please make a video on 3rd and 4th equation of Maxwell. You are very good teacher.
Thank you
The cosine being called a "measure of alignment" is a beautiful explanation. Love your videos man!
I have a conference (I'm an attendee) on Maxwell's equations in an hour. Never seen them before, and you just saved my dignity :) take my sub, thank you.
Parth you are a great teacher.Plse do a vid on relativity.Kenya
You're simplifying intricate concepts in a pretty nice way
Thanks a lot !
I don't know how my teachers never had interest in knowing all these awesome stuff. Because if they would have known they could have been able to teach us in this way.
Thanks for feeding my curious mind with the beauty of these phenomena.
I'm so happy for the 1st time I am able to understand equations of physics.
Even the derivative and integration parts were not taught this way to me.
Thanks again 🙏
Wow ,you explained so easily,keep it up
So glad I discovered your channel, so underrated and demistifies some scary looking physics concepts
Man, you are amazing ! Please post the other two equations, finelly I'm getting it ! Congrats and tks
very explicit explanation. Felt like I was in my hostel room, studying the entire concept. Then, we didn't have internet facilities and Mr Parth's video would have surely made things easier. Thank you very much.
Definitely subscribed. Im going to dissect each one of your videos. Ive been studying your videos like my life depended on it.
The way you explain these equations helps me out so much. And you explain it in a way that even I can understand it.
Which means EVERYONE should be able to..lol
Great work! I'm looking forward to the next two videos. Thank you for your hard work!
Man that's great!!! If you were near me I'd have lifted you on my shoulders
Thanks for the presentation. As a chemistry major in college, I never got to study Maxwell's equations, but through teaching high school physics I became fascinated with electromagnetism (moving that bar magnet in and out of a wire coil) enough to study the phenomenon on my own. Your explanation of the equation put it all together for me.
Great stuff. Even after 45 years in the engineering field and a dozen years in higher ed, your explanation of all this is top notch; the best I've ever seen. Thanks.
Your vids are of incredible quality considering the amount of subscribers you have! You're gonna get big on here.
Another fantastic video, and explanation, I really like the "simplicity" of the "format"l.
And as far as the length is concerned the longer the better. So please don't ever let Yourself set "length constraints" so that You feel that You have to compromise on Your fantastic explanations. I personally would much rather see You "lengthen" something and split it in to "episodes" (if at all possible..) rather than even "shortening" it ever so slightly and thereby possibly "truncating" something. ((In short... Please take Your time when explaining :)
So thank You ever so much for sharing Your knowledge and committing the time and effort of making it such an easily understandable and relatable presentation.
Best regards
Bro we literally needmore teachers like you, pls don't stop teaching 🥺
Parth.. extraordinary explanation of Maxwell's equation!!! Really admire your ability to do it in such a short period of time. Please don't let the irrelevant criticism bother you, some people just are born whinners.
Awesome video, very helpful for a long term student trying to understand how to read the equations. I wouldn't have said anything if you didnt request it, but I think you could have included the relationship between the negative sign, and cross products used to represent areas as vectors, just a quick "b/c of the right hand rule, the vector representing an area is either positive or negative." Thanks again, now I read this equation as:the integral of an electric field around a wire (that is, the current around a wire) = the flux of the magnetic field (the magnetic field being integrated across the surface contained within the wire). So changing the magnetic field induces current. Current induces ... a change in magnetic field. Not a constant one? Oersted vs magnet through solenoid. Watching more videos now
This was so great, please upload another one
I think this is the best a living being ever explained maxwell eqns. Extremely diffifcult, but i think you did the best. Keep up mate
Goodness. This video packs so much of everything and unpacks them all! You deserve a subscription and more. Thank you!
My recommendations: Turn auto focus off (or at least train to your face), position soft lighting at an angle away from the camera aperture, and pause for maybe 1-2 seconds or so between lines. Great content, with better delivery and presentation it has the potential to be a great overall resource
This is a good comment. Pauses are imporant, they give time so our brains can digesting info. Talk very very slow and strong when something is really important, talk faster es something is less important. Don't talk too fast because most people won't follow, don't talk too slow cause we'll get bored., Think of it as a game of tension.
You have the gift to become an excellent teacher your art of making Complex . ..S I m p l e ! No 3 next please .
You are such a great teacher! The way you explain a hard subject in such a simple way is helping so many people understanding the topic
Loved the way you explained it step by step.
When you got to the part about -d/dt, I suddenly realized this was going towards electro-magnetic induction.
What a joy! Thanks heaps.
This is a great explanation for me and I appreciated untangling the equation in this way. Did you ever consider creating a video of the explanation in reverse, however, starting with the concept of moving (at different velocities) an area of magnetic force within a closed loop? This would set the stage with the intuition first, allowing you to work "backward" to the equation, much as Maxwell himself did when he wrote this generalized formula for the data he observed. Having the intuition in view first might help those who are not comfortable with all the integration and vector math.
Mark Bordelon That’s an excellent suggestion. I studied geometry in much the same way. Made so much more sense to me.
3:15 I think it would benefit learners to explain why anyone would ever need to find the area under a curve as it is often not thought well or at all in school.
Perhaps a simple example like the rate of water flowing into a container can be represented and we can find the amount of water in the container after x time using the area under the graph.
Thank you for existing and making these videos. You make it SO easy to understand, even for someone who doesn't have a background in this. Thanks!!! ✨️
Beautiful!!
One of the most perfectly concise and deliciously informative presentations I've seen anywhere on youtube.
Amazing work done. physics made easy and interesting. kindly do the other 2 equations as well please. thanks a lot.
Love the videos. Could you include an explanation of Lenz’s law?
I always have to think twice about that one
Well done! You provide enough detail for someone with a serious interest in physics, and a yearning for more depth of insight than a basic math education (US) permits. Thank you!
I cannot believe that what I have just seen is possible! A testament to the complexity of the human brain. Thanks.
Great explanation, but you should have explained more why the negative sign is there. I assume it’s because of Lenz’s law, which is a pretty important detail right?
I agree, I was going to comment exactly the same thing!
I think it is because of: electrical current generates magnetic field, changing magnetic field generates electrical field, this produces potencial difference which results in another electrical current(induction current), induction current is why the magnetic field is changed in the OPPOSITE direction(Lenz law)
You are very good at explaining complicated topics. Hopefully you are a teacher/professor somewhere, to some lucky students
Parth... thank you for these videos. I'm taking an electromagnetism course next semester and I've decided to start with the intuition before doing the math. Your channel is a goldmine for this, so thank you!
dude the 3rd eqt ?
u can't imagine how your videoes are important to me !
It's coming soon he said..
We owe you brother, Don't say thanks, I thank you for all this ❤️
Thanks! Just a suggestion: I would start with the coil & magnet example and then work your way through.
Agree
The dl is along the coil and ds inside the area of the coil
You explain it so beautifully. Loved it. Was never so interested in physics, but your videos are just amazing. Keep going.
You are just this great teacher I've never had. Thank you so much! You are doing physics like its piece of art which it is but only for a few people(people who love it and really see the beauty of this subject). I hope someday you will make a video for the other two equations.
Parth, i love your videos Brother... Hey can you do the whole series of Maxwell equations, thanks 'G'...
These videos are amazing! Can you explain the other two soon?!?!
An simplest explanation of Maxwell's equation. Gifted teacher building from known to unknown concepts...
Can't wait for the third and fourth Maxwell Equation!!! I learn it for fun and I love your explanation so much, simple and clear! Thank you so much!
I did bsc in math n physics but no one made me understand it so clearly
What does the circle on the integral sign on the L>H>S mean?
This means that the integral is applied to a closed loop, for example in this case a circle.
It's called 'Closed integral'.
Wow i am impressed once more by the explanation! It is really great! I swear if you stop your videos i will cry!
These explanations are so clear I would have understood them freshman year of high school. That's pretty amazing.
Parth, as an engineer with a lifelong interest in particle physics, I understood all this before I watched your video but still found it difficult to follow at times because of the speed of the delivery. You appear to have chopped out parts of the video whilst editing it in an attempt to shorten it, thus making it much more difficult, at least for me, to understand in one pass - although I am getting on a bit in years. In my opinion, which you are perfectly at liberty to ignore of course, it's probably better to allow your audience a little more time to have the excellent information you present to sink in, rather than force some people to have to re-watch the video several times or re-wind it when explaining a difficult concept. Nobody that's genuinely interested in the concept will be put off by a couple of extra minutes in length.
Otherwise these are great - I've enjoyed your explanation of Maxwell's Equations, which had my head spinning at university and I've subb'd. Thank you.
I somewhat agree. It's like listening to my fiancee speak Spanish and, since my Spanish is still a bit lacking, I'm a split second behind translating in my head. I suppose watching the video a few more times (repetition is the key to education, yes?) or slowing down the playback speed would be helpful.
An interesting science question: why do we see two circles of light in your glasses as a result of your lighting instrument, and why is one of them RED??
he used a circular white light to illuminate the video, and perhaps the coating on his eyeglasses reflected the red component of it
And his glasses are annoyingly tilted. But who’s watching that kind of detail anyway?
there are 2 (more than 2 because of the anti reflection coating but you cannot see those)) air to glass interfaces which reflect the light back to the camera. one on the front side which is diverging because of the curvature of the glass. and one converging because the curvature of the glass. one is red because it traveled 2 times trough the antireflection coating.
it is because of the red shift bro , one glass is far from the other and the light gets streched in that distance
@@wilfredswinkels Thank you Wilfred for your edifying input!
A pleasure to watch! Thank you so much for creating this. Perfect level for someone like me with good science background who's always been afraid of the Maxwell's equations. Thanks!!
How could one possibly dislike this awesome video??
Could you show how to plug some numbers in to the equation showing it doing something useful?
Well, only a few really neat examples could be used seeing that it is vector calculus. You can dodge a lot of calculus stuff if you make the wire loop a square but you have to be careful what you ask for since this stuff is hard to fully appreciate when you haven't done basic calculus.
@@nathandaniel5451 I've done basic calculas, just a bit foggy on how to apply it in the instance of invisible forces!
@@SteveGouldinSpain Ah, I see.
That's fair. If a video isn't made there is a book that might interest you. Griffith's introduction to electrodynamics.
It uses these integrals all throughout the book. All you need to understand it pretty well is probably basic mechanics and vector calc. (first year E&M would be good as well)
@@nathandaniel5451 thanks very much Todd - I will check that out!!
this was the most wholesome interaction I've ever witnessed on RUclips comments. brought a tear to my eye
Auto-focus doesn't seem to like what you're saying.
I just came across two of your videos explaining Maxwell's equation. I wish someone had explained these to me back in my college days. Loved watching both of your videos. Keep it up, man.
The best short explanation that I've ever seen on youtube, greetings from South America.
Why does the left hand integral have a circle on it?
It's called a cyclic integral if I remember correctly. It's used when the the curve your integrating over is closed.
@@raamanujan2113 and it's from 0 to 2pi usually
If you Google that exact question , here is what you find... It basically means you are integrating things over a loop. For e.g. a circle with an element dl if you do ∮dl it will give you circumference of the circle
Can you do videos on 10 and 11 th concepts.. I teach 6 th to 11 th graders those who aren't economically able to take tuitions for free.. So this would be really helpful..
I cant say I fully understand it yet but this definetly helped me very much, you have a talent putting important information in a compact dense form. If your carrier in what ever profession you are striving to take should fail, then you always can be a rapper.
The BEST Maxwell equation videos available! Your videos are amazing teaching guides, thank you so much for this!!!
*"Orientation"* is the proper interpretation for area vectors.
You tried very hard to explain the ds part.
What do you mean by "*orientation*"?
According to the international standard ISO 80000, "B" is named "Magnetic induction" or "magnetic flux density" and "H" is "Magnetic field". Please use the international standards.
Highschool, university, research; no matter where you are, you'll always be using the notation and attributed variables as he does in the video. I don't know what ISO 80000 is, but I know this is how you will learn things.
And despite... if you prefer r over B you can use that in your own calculations.. no one cares
Kevin Somenzi you are wrong. In research and in every field of science where is necessary to work with international countries, it’s mandatory to follow ISO standards. The fact that you don’t know what the ISO is (it is the International Standard Organization that involves almost all the countries in the world) is your problem.
Ok, so now you’ve got me excited about relearning everything I’ve forgotten. You do an excellent job of explaining things “simply.” Well, simply enough.
An "Automath", is, for Stella Baruk (French World Class Pedagogue of Mathematics), a said "Learner" who has been Trained to Only Remember Algorithms WITHOUT Understanding of Any Sort.
You, Mate, just do the Strict Opposite of the Usual School Teaching: You Truly// Bring UNDERSTANDING.
And by the way, I Do Join the Rest of the Commenters to say that your Explaination of the Integral is THE VERY BEST// I have Ever Seen Around! 👏👏👏👌👍👍👍
Thanks Parth. Very good attempt to explain complicated things in simple manner. Keep up the good work.
great video! it really does help to look at an equation as a story more then a mathematical tool to solve problems. Keep it up!
Never understood integration & maxwell equations so easily...Great Job!!!
This video is really great! Your explaination and visualizations are top notch! Thank you so much for making this video!
OMG Kudos to the best concise and meaningful explanation of the Maxwell-Faraday equation ever
The illustration at 12:37 is very helpful for me to understand what that integral is! I skipped my calculus lecture and it is so hard to catch up again...Thank you for such a good explanation!
Proudly subscribed! Thanks for the exceptional video
Awesome channel man, everything is understandable with a few pauses here and there~! Thanks