You don't know how important work your videos offer!!!! I spent days and hours with a piece of paper and a pencil trying to understand things in physics when i was a student in 80s. Your videos are precious for my students. Many thanks and greetings from Greece. We love you 👍🙏🌞🌹
Maybe one of these days, videos like this that use 3D animations shown on a 2D screen will be viewable in 3D on a stereoscopic viewer ! Not necessarily viewable from any angle the viewer wants to see but from angles the presenter (Eugene, etc.) would like the viewer to see for best explanation.
@@k7iq that would be a dream come true honestly. Imagine the insights and intuition it could offer curious students and the advancements it could lead to.
What would 90s kids give for these videos back in their school years. Todays kids have tons of high quality visual material about everything in the world for few clicks. Big thumbs up for this channel.
I know right this kind of stuff and Stanford lectures and MIT open courseware this is the potential of the internet being exploited to its fullest extent. Instead people want to watch cat videos.... I don't get it
The first time I realized, that curl phase-locks E and B. Also nice to see how two waves interfere and how circular polarization comes from shifted waves. So this video could act as a foundation to go further, as there are open questions. One is: How can the wave be expended in space, as curl is only locally defined and: while linearly polarized waves pack energy in space, circular polarized waves show constant energy density. And: when the electromagnetic field oscillates locally (at the antenna) E and B are out of phase. So there has to be a phase shift to radiate waves. This principle of localized energy: out of phase, moving energy: in phase, seems to hold in general.
Congratulations. for my 5 year electric collage course and 2 years, you are the first one make me able to get a grasp of 3rd and 4th maxwell equations.
This us really helpful. You are helping thousands of students who cant afford expensive education. This small small topic videos are way better to think in a research topic. Thank you
Very comprehensive and clear visual explanation of concepts. Thank you for sharing your knowledge and expertise. Please allow me to use this in my Physics lessons. Thank you and more power.
Thanks for the compliments. Once a video is on TH-cam, you are allowed to show it anywhere, including in front of a class, so long as you are playing it directly from the TH-cam channel of the video owner. Many teachers already show my videos in their classrooms in this way. Thanks.
I have literally been trying to understand this relationship for years because as you said, it’s counterintuitive when you look at Maxwell-Heaviside equations. Thanks so much for the informative video
This is an excellent video and very clearly explains the relationships without over burdening the mathematics on the student. Please continue with these wonderful explanations.
Whenever I feel depressed, ur videos turn me back to life. Learning is a free dopamine and the source of happiness... Thanks for the amazing medicine:)
I always come to your videos to truly understand a concept and continue to come back to these videos after. You have a gift, and I applaud your hard work on these videos.
Difficult concepts are explained beautifully in the animations. Videos of this channel are truly unique and exceptional. Please keep producing such gems which are a real treat to watch.
Genuinely good question answered in a very good way. I remember having the exact same question a few years ago and i believe today ive truly answered it!
It is useful to note that the presence of nonzero curl is not necessarily related to the presence of vortices (curved lines) in the vector field. Moreover, a vector field with vortices can have a zero curl.
I see! Great video. TY 1) When the magnetic field = 0, the neighbouring magnetic fields = max. 2) When the magnetic field = 0, the neighbouring magnetic fields point in opposite direction. 3) When the neighbouring fields point in opposite directions, the curl in the middle = max (due to 2:38) 4) When the curl = max, the rate of change of E = max. 5) Rate of change of E = max when E = 0 6) Thus, E = 0 when magnetic field = 0
I love your work, you provide the most information of any science TH-camr without literally being a college lecture. Please make more 30 minute videos!
@@EugeneKhutoryansky I studied particle physics in grad school and now work as an engineer for particle accelerator called "Protoon therapy system" to treat cancers. Really happy to find your videos. Will come frequently to make my physics base stronger :).
There is no more powerful method for conveying a message than graphic visualisation. At least for lesser mortals like me. So, this video is perfect for me. Oh, and the music seemed to alternate between a solo piano and rock! Love that too. So thank you.
To be honest, while I was looking at a representation of a photon, I thought "If one is creating the other, how are they both simultaneously at peak and at zero?", but I didn't think about it again until this video, but now it makes so much sense. Thank you a lot for this helpful video!
I never even knew I needed an answer to this quesion, I mostly just did the math and whatever came out was what I acknowledged. Thank you immensely for this beautiful visual and intuitive representation of why EM waves have their E and B fields in phase.
Wow, beautifully done. I needed to produce 5 video's covering the math basics and each equation taking ~3 hours in total. Then I added another half hour to derive the electromagnetic wave itself but completely missed the phase syncing which is a nice addition. Thank you for sharing.
This is like visualizing EM waves from Maxwell's brain. That is why my mind is blown away, cant handle so much of intelligence. Thank you guys for adding perspectives.
I'm very much thankful to you... I'm M.sc student but when I watch your videos I get actual visualisation of real subject....hope you cover as many topic as u can...😁🙌
This is beautiful. Now, the way that light wave is usually drawn makes perfect sense. Before watching this video, I never really understood why the light wave was drawn that way.
That is the partial derivative with respect to time, not the derivative with respect to space (not the slope). To understand why the picture in the video is correct, think of the yellow arrow as showing the direction in which each purple arrow will be changing once time starts to move forward in the animation.
@@EugeneKhutoryansky: I had this same question and your answer here explained it for me. Thanks!!! At 4:35, I was incorrectly looking at the E-field vectors from left-to-right and in so doing I mistook that the E-field vectors were changing from positive(+) to negative(-) which is opposite the positive(+) sign of the curl vectors. That puzzled me so I searched for similar comments to find your answer. And here it was! Now I understand my mistake, all thanks to your answer! Instead, I should be looking at the E-field vectors from right-to-left as that is how the E-field vectors are actually changing as time progresses. I was looking at the E-field vectors going backwards in time, from "future time" to "past time". While, in the correct way (right-to-left, which would be going forward in time), the E-field vectors are changing from negative to positive which matches the positive curl vectors. Thanks for explaining this!!! And thanks for answering so many of the questions and comments here; very helpful. I am very impressed!
Another canonical explanation from Eugene---the first explanation that should be given to every undergrad learning these equations for the first time. 👏👏👏
I can't come to terms with how ridiculous is the expectation that students could understand how EM waves work, by having them look at static pictures on a textbook. I did that, 25 years ago, and I always had this feeling like "ok but... this does not make complete sense". Especially the curl operator, I basically had no idea of what it really meant until now. I am also wondering whether even my physics teachers really knew what they were talking about. Thanks Eugene for these videos, this is gold.
@@EugeneKhutoryansky I love your videos, they are intuitive, sensitive. Bouddha : "Reality is an illusion. The Truth is that there exists only one thing : a vibration, the vibration of the universe." Do objects have colors..? Is the grass green..? No, of course... During the night, all objects are black, the grass is black.. and everyone knows that the light is composed by all colors.. The only thing we really see is the electromagnetic spectrum of the light. Reality is just an electric signal in our brain : reality is the perception of our 5 physical senses. And as the scientist your are, you understand that the only thing that exits is.. the electromagnetic spectrum... ... an infinite vibration.. ♉♉♉
Timing couldn't been better, I've been studing maxwells law lately and I wasn't understanding it in relation to the curl. Thank you so much for this. This is really cool illustrations.
This is absolutely amazing!!! One other question I have is since E= cB why is the Magnetic field always shown as the same size as the Electric field. It is clear B must be extremely small compared to the Electric field! I would be grateful for any input.
It depends on what units we use for E and B. Since we can select any units we want, the relative magnitudes of the E and B vectors can be anything we wish them to be.
I may be wrong, but at 4:01, the curl is maximum where the field is zero, not because neighbouring field are in opposite directions, but because rate of change of magnetic field vector is greater when it is zero (just like in sin or cos curve).
Yes, what you said is correct. The rate of change is greatest where the field is zero. And this is the only point where the neighboring fields are in opposite directions.
I have a request: Please never stop making videos on Physics and Mathematics. You are the best in this field on TH-cam.
Thanks for the compliment. More videos are on their way.
@@EugeneKhutoryansky Thank you very much.
Indeed. No one else comes close to explaining things the way this channel does.
@@EugeneKhutoryansky Thank You
@@redacted5052 True
You don't know how important work your videos offer!!!! I spent days and hours with a piece of paper and a pencil trying to understand things in physics when i was a student in 80s. Your videos are precious for my students. Many thanks and greetings from Greece. We love you 👍🙏🌞🌹
Thanks for the compliments. I am glad my videos are helpful.
Maybe one of these days, videos like this that use 3D animations shown on a 2D screen will be viewable in 3D on a stereoscopic viewer ! Not necessarily viewable from any angle the viewer wants to see but from angles the presenter (Eugene, etc.) would like the viewer to see for best explanation.
@@k7iq that would be a dream come true honestly. Imagine the insights and intuition it could offer curious students and the advancements it could lead to.
@@k7iq its very simply to produce 2d screen out of this and 'see' this in 3d if you have 3d glasses or can do the cross-eye method on 2 images
What would 90s kids give for these videos back in their school years. Todays kids have tons of high quality visual material about everything in the world for few clicks. Big thumbs up for this channel.
Thanks.
And yet most of them use internet for meme only.
I am a 90s kid and can feel your pain. We all struggled with our imaginations while studying electromagnetic theory! 😂
I know right this kind of stuff and Stanford lectures and MIT open courseware this is the potential of the internet being exploited to its fullest extent. Instead people want to watch cat videos....
I don't get it
God I wish I had this 3 years ago when I started studying this, now it all makes sense
I am glad my video was helpful. Thanks.
I knew this, when I was about 12 ;-;
A lot of things make more sense 3 years later haha
Your videos are more useful than a complete semester course
Thanks for the compliment about my videos. I am glad they are helpful.
True🔥
Hey guys I know the videos are amazing and beautiful but why do u guys always bully college in that?
that's true!!!
Electromagnetic waves, visual explanation, drums, epic guitar solos. Thank you
Glad you liked my video. Thanks.
The first time I realized, that curl phase-locks E and B. Also nice to see how two waves interfere and how circular polarization comes from shifted waves.
So this video could act as a foundation to go further, as there are open questions. One is: How can the wave be expended in space, as curl is only locally defined and: while linearly polarized waves pack energy in space, circular polarized waves show constant energy density. And: when the electromagnetic field oscillates locally (at the antenna) E and B are out of phase. So there has to be a phase shift to radiate waves. This principle of localized energy: out of phase, moving energy: in phase, seems to hold in general.
Congratulations. for my 5 year electric collage course and 2 years, you are the first one make me able to get a grasp of 3rd and 4th maxwell equations.
I am glad my videos have been helpful. Thanks.
This us really helpful. You are helping thousands of students who cant afford expensive education. This small small topic videos are way better to think in a research topic. Thank you
Thanks for the compliment. I am glad my videos are helpful.
Very comprehensive and clear visual explanation of concepts. Thank you for sharing your knowledge and expertise. Please allow me to use this in my Physics lessons. Thank you and more power.
Thanks for the compliments. Once a video is on TH-cam, you are allowed to show it anywhere, including in front of a class, so long as you are playing it directly from the TH-cam channel of the video owner. Many teachers already show my videos in their classrooms in this way. Thanks.
Fab. Watch for the beauty. Watch again to understand. Watch a 3rd time to properly understand. Best yet. Old UK duffer, enjoying the ride :)
I have literally been trying to understand this relationship for years because as you said, it’s counterintuitive when you look at Maxwell-Heaviside equations.
Thanks so much for the informative video
Thanks. I am glad my video was helpful.
This is how science will be taught in future. Amazing as always. Indeed you are the pioneer.
Thanks for the compliments.
I feel blessed Because i get these videos to watch exactly when I'm learning these things in my course. *TREMENDOUS THANKS, EUGENE!*
Thanks.
This is an excellent video and very clearly explains the relationships without over burdening the mathematics on the student. Please continue with these wonderful explanations.
Thanks for the compliment. Yes, going through a bunch of mathematics actually makes the phenomena less clear.
Your phyics videos are simply the best on TH-cam. I know all this stuff but it's still fun to watch your visualizations and clear explanations.
Thanks for the compliments.
Long time! You know what I have nothing in life except studies stuff like this is only what keeps me going
You obviously put a lot of work into these videos. You are an especially rare person that everyone needs these days.
Thanks for the compliment.
Whenever I feel depressed, ur videos turn me back to life.
Learning is a free dopamine and the source of happiness...
Thanks for the amazing medicine:)
I am glad you like my videos. Thanks.
I always come to your videos to truly understand a concept and continue to come back to these videos after. You have a gift, and I applaud your hard work on these videos.
Thanks for the compliments. I am glad my videos are helpful.
You have the best mechanism videos I have ever seen. PLEASE keep making these videos
Thanks for the compliments. More videos are on their way.
There is no reason for the background music to shred this hard
Great video Eugene! You're invaluable for visualizing these things.
Thanks for the compliments.
I'm a Indian engineering student and your videos are very helpful for me.
Thanks.....
I am glad my videos are helpful. Thanks.
You still make the best Physics videos on TH-cam! Period.
Thanks for the compliment.
Your Voice is just amazing.... you've changed my perspective towards science...
All my videos are narrated by my friend, Kira Vincent. Thanks for the compliment.
@@EugeneKhutoryansky convey regards to Kira as well....
@@EugeneKhutoryansky Kira is awesome.... And you too...
This channel deserves 10M subscribers
Thanks for the compliment.
Difficult concepts are explained beautifully in the animations. Videos of this channel are truly unique and exceptional. Please keep producing such gems which are a real treat to watch.
Thanks for the compliments.
Genuinely good question answered in a very good way. I remember having the exact same question a few years ago and i believe today ive truly answered it!
Could not have picked a better music progression. This really sets the proper tone for the subject. Well done.
Thanks.
Your work is incredible I am more than a fan of this channel I am a disciple
Thanks for the compliment. I am glad you like my videos.
This is your most beautiful video to me. Thank you so much for all your efforts. I wish things like this existed when I was in school.
Thanks. I am glad you liked my video.
4:30 Holy shit, this is insane. For me this moment is like a great scientific reveal!
I am glad my animation was helpful.
can u elaborate on that please
Sir ,Your visualising capability is insane level
Thanks.
I'm always so inspired after seeing your videos. Thank you for keeping me passionate about science!
Thanks.
I could not believe I could I ever see such explanation and a teacher like you existed out there 👌
Thanks for the compliment.
Please never stop making these perfect videos (by perfect I mean even the METAL SONGS IN IT)
More videos are on their way. Thanks for the compliment about my videos.
It is useful to note that the presence of nonzero curl is not necessarily related to the presence of vortices (curved lines) in the vector field. Moreover, a vector field with vortices can have a zero curl.
Once again a great graphical illustration of the laws of physics. Thank you, Eugene!
Thanks for the compliment.
Hats off to the brilliant animation
Thanks. I am glad you liked my animation.
I see! Great video. TY
1) When the magnetic field = 0, the neighbouring magnetic fields = max.
2) When the magnetic field = 0, the neighbouring magnetic fields point in opposite direction.
3) When the neighbouring fields point in opposite directions, the curl in the middle = max (due to 2:38)
4) When the curl = max, the rate of change of E = max.
5) Rate of change of E = max when E = 0
6) Thus, E = 0 when magnetic field = 0
Point #1 above is not correct.
@@EugeneKhutoryansky
How is it wrong?
neighbouring
field at positive maximum
↓
⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ _. .--------..._⋯ ⋯ ⋯
.- ' ' -.
when B = 0 ,- ' ' ,
↘ ╱ ╲
_____╲_________________________________╱__________________________
⠀⠀ ⠀⠀⠀╲ ⠀╱
╲ ╱
' , , '
_ _ _ _ _ _ _ _ _ ¯ - ﹍__﹍ -_¯_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __ _ __ _ _ _ _
↑
neighbouring
field at negative
maximum
Im, for the first time considering to use patreon, you are doing gods work mate
Thank you very much. I very much appreciate your support.
Wow awesome stuff mates!!! Congrats for this invaluable work of art
Thanks for the compliment.
I love your work, you provide the most information of any science TH-camr without literally being a college lecture. Please make more 30 minute videos!
Thanks for the compliments. The issue with 30 minute videos is that they take a lot longer to make.
@@EugeneKhutoryansky don't worry I've been watching you for years any content you make is appreciated!!!
Thank you for a beautiful video. Good to watch in the beautiful morning :)
Thanks for the compliment about my video. I am glad you liked it.
@@EugeneKhutoryansky I studied particle physics in grad school and now work as an engineer for particle accelerator called "Protoon therapy system" to treat cancers. Really happy to find your videos. Will come frequently to make my physics base stronger :).
Again, the simplicity of it....makes me want to keep learning!
Another top notch video!
Thanks.
There is no more powerful method for conveying a message than graphic visualisation. At least for lesser mortals like me. So, this video is perfect for me. Oh, and the music seemed to alternate between a solo piano and rock! Love that too. So thank you.
I am glad you liked my video. Thanks.
*Amazing animated explanation, thanks and Love from India 💕*
I am glad you liked my animation and my explanation. Thanks.
@@EugeneKhutoryansky*THANKS FOR YOUR KIND REPLY*
You guys explained such a complex concept in a very easy manner. Keep it up 👍
Thanks.
Your videos are so usefull. Great Job. Please continue. I like the choice of music in the middle of the video. 😁 🤘🎼 Good contrast to the piano melody.
Thanks.
Can anybody tell me what is a tittle of this piano melody? It is well known, but I can't track it.
@@E53061 Jincheng Zhang - Gentleman I Love You
Great information, useful for better understanding what’s happening with planetary magnetic fields, which I have been studying and creating videos on
Thanks.
Just a simple well put together video. Thank you for your work.
Thanks for the compliment. I am glad you liked my video.
I love your videos related to electronics like transistor ,op amps...they are simply amazing...I even like your videos related to electromagnetics
Thanks.
To be honest, while I was looking at a representation of a photon, I thought "If one is creating the other, how are they both simultaneously at peak and at zero?", but I didn't think about it again until this video, but now it makes so much sense. Thank you a lot for this helpful video!
Thanks. I am glad my video was helpful.
Allways wondered about this, and you explained it so clear and so simple. Just perfect. Understood it immediately. Great job👍. Thank you so much!
Thanks. I am glad you liked my explanation.
I never even knew I needed an answer to this quesion, I mostly just did the math and whatever came out was what I acknowledged. Thank you immensely for this beautiful visual and intuitive representation of why EM waves have their E and B fields in phase.
Thanks for the compliments about my video.
One of the best videos I've come on this topic. Thanks a lot.
Thanks for the compliment.
You are amazing ❤️❤️
I love your videos
Complex stuff made easy
Stay healthy ... Keep acknowledging us 🙏
Thanks!!!
Wow, beautifully done. I needed to produce 5 video's covering the math basics and each equation taking ~3 hours in total. Then I added another half hour to derive the electromagnetic wave itself but completely missed the phase syncing which is a nice addition. Thank you for sharing.
I am glad you liked my video. Thanks for the compliment.
Bravo ! well done !!! keep going sir ! Big Thanks from Tunisia
Thanks. I am glad you liked my video. More videos are on their way.
I had this point come up a few days ago. This is very timely and well done. Thank you :)
Thanks.
in what context? Not the dipole antenna...
Your videos helps us to understand physics very fluently
Thanks. I am glad my videos are helpful.
we, the audience should be generous enough to donate money to this channel for their passion of simplifying complex physical concepts.
Thanks!!! I very much appreciate your support.
What a choice of music, Eugene! Superb!
This is like visualizing EM waves from Maxwell's brain. That is why my mind is blown away, cant handle so much of intelligence. Thank you guys for adding perspectives.
Thanks.
holy shit, this is an amazing explanation. I feel like I understood what I haven't in years in uni.
I am glad you liked my explanation. Thanks.
Holy cow. The explanation, animation, music is all awesome. Thank you so much!
Thanks. I am glad you liked my video.
Keep the great job
Thanks.
I'm very much thankful to you... I'm M.sc student but when I watch your videos I get actual visualisation of real subject....hope you cover as many topic as u can...😁🙌
Thanks.
@@EugeneKhutoryansky my pleasure ☺️
Wow. For years I struggled to understand this. Thank you.
I am glad my video was helpful. Thanks.
An animation tells thousand words without talking relentlessly.
This is beautiful. Now, the way that light wave is usually drawn makes perfect sense. Before watching this video, I never really understood why the light wave was drawn that way.
Thanks for the compliment. I am glad my video was helpful.
4:35 Umm how exactly is that a derivative? Shouldn’t the yellow graph be flipped upside down for it to be the differential?
That is the partial derivative with respect to time, not the derivative with respect to space (not the slope). To understand why the picture in the video is correct, think of the yellow arrow as showing the direction in which each purple arrow will be changing once time starts to move forward in the animation.
@@EugeneKhutoryansky ohhhhhhh thanks a lot!! That made my understanding of this so much clearer! I LOVE visual learning 😅
Thanks.
@@EugeneKhutoryansky: I had this same question and your answer here explained it for me. Thanks!!! At 4:35, I was incorrectly looking at the E-field vectors from left-to-right and in so doing I mistook that the E-field vectors were changing from positive(+) to negative(-) which is opposite the positive(+) sign of the curl vectors. That puzzled me so I searched for similar comments to find your answer. And here it was!
Now I understand my mistake, all thanks to your answer! Instead, I should be looking at the E-field vectors from right-to-left as that is how the E-field vectors are actually changing as time progresses. I was looking at the E-field vectors going backwards in time, from "future time" to "past time". While, in the correct way (right-to-left, which would be going forward in time), the E-field vectors are changing from negative to positive which matches the positive curl vectors. Thanks for explaining this!!!
And thanks for answering so many of the questions and comments here; very helpful. I am very impressed!
Thank you for the very informative and practical vids.
I am glad my video was helpful. Thanks.
Another canonical explanation from Eugene---the first explanation that should be given to every undergrad learning these equations for the first time. 👏👏👏
Thanks for the compliment.
I can't come to terms with how ridiculous is the expectation that students could understand how EM waves work, by having them look at static pictures on a textbook. I did that, 25 years ago, and I always had this feeling like "ok but... this does not make complete sense". Especially the curl operator, I basically had no idea of what it really meant until now. I am also wondering whether even my physics teachers really knew what they were talking about. Thanks Eugene for these videos, this is gold.
Thanks for the compliment about my videos.
🤯 My mind blew up with all that information even though I'm an engineer.
I used to thought that the electric and magnetic fields were out of phase.
Where were you doing my electromagnetics course? This is stunning, thank you.
Thanks.
absolutely stunning :) i came here for exactly the same thing which you explained... simply awestruck !
Thanks.
This is exactly the question that was bugging me today for hours. And the funny thing is I have seen this video 1.5 years ago when it came out.😁
This stuff was confusing 30 years ago in Calculus III. Great video.
Hands down to this!!
Seriously, where have you been all these long??
Thanks man for making such beautiful explanation videos
Thanks for the compliment about my videos.
after failing my physics exams, I understand why they chose to give curl its own boss music
f
lmao
Lots of love for your channel and for your best contents for us!🥰🥰🥰
Thanks!
Physics Videos by Eugene Khutoryansky >>>>>>>> than any other physics explanation
Thanks for the compliment.
Your videos helped me to get through my online engineering college
I am glad my videos have been helpful.
Best video explanation ♥️
Thanks. I am glad you liked my explanation.
This is just derivated fonctions in mathematics....
Congratulations and thanks for your beautiful videos.
♉♉♉
Thanks.
@@EugeneKhutoryansky
I love your videos, they are intuitive, sensitive.
Bouddha : "Reality is an illusion. The Truth is that there exists only one thing : a vibration, the vibration of the universe."
Do objects have colors..?
Is the grass green..?
No, of course...
During the night, all objects are black, the grass is black.. and everyone knows that the light is composed by all colors..
The only thing we really see is the electromagnetic spectrum of the light.
Reality is just an electric signal in our brain : reality is the perception of our 5 physical senses.
And as the scientist your are, you understand that the only thing that exits is.. the electromagnetic spectrum...
... an infinite vibration..
♉♉♉
Yes! And the Poynting vector would change and it would go back and forth! Thanks for explaining this!
Timing couldn't been better, I've been studing maxwells law lately and I wasn't understanding it in relation to the curl. Thank you so much for this. This is really cool illustrations.
Thanks. By the way, I go into curl in much greater detail in my video "Divergence and Curl" at th-cam.com/video/qOcFJKQPZfo/w-d-xo.html
@@EugeneKhutoryansky I'll watch this as well. Thank you. A very interesting subject.
Wow I understand curl and Maxwell equation’s meaning! Very Thank you for making this video!🥰
Thanks. I am glad you liked my video.
Cool information
Your videos helped me in understanding physics ❤ from India
I am glad my videos are helpful. Thanks.
you are awesome like the moment we understand is the most satissfying feeling everrrrrrr!!!!!!!!
Thanks.
Soon 1 million bro
You are super duper in making videos on such complex topics
Thanks for the compliment.
This is absolutely amazing!!! One other question I have is since E= cB why is the Magnetic field always shown as the same size as the Electric field. It is clear B must be extremely small compared to the Electric field! I would be grateful for any input.
It depends on what units we use for E and B. Since we can select any units we want, the relative magnitudes of the E and B vectors can be anything we wish them to be.
@@EugeneKhutoryansky Could you give an example of the units we could use pls?
I may be wrong, but at 4:01, the curl is maximum where the field is zero, not because neighbouring field are in opposite directions, but because rate of change of magnetic field vector is greater when it is zero (just like in sin or cos curve).
Yes, what you said is correct. The rate of change is greatest where the field is zero. And this is the only point where the neighboring fields are in opposite directions.
Great video . I know the hard work done on animation. Keep it going :)
Your hard work for the facility of students are appreciable so much please make More video on modern physics and quantum physics
Thanks for the compliment. More videos are on their way.