To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available). --To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable. --To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video. --If you believe that the translation in the subtitles can be improved, please send me an email.
Although many of my videos already have Arabic subtitles available, many others still need them. If you would like to help provide Arabic subtitles, please send me an email. My email address is available in the "about" tab of my RUclips home page. I will email you the subtitle file in English (which includes the timings). You will then be able to edit the file to replace the English with the translation, and email the file back to me. I will then upload it to my channel. Thanks.
19:23 if inner 4 particles are rotating anticlockwiz then what will be the sum? 2+2+2+2+2+2+2+2=16 + inside 4= 20 or 2+2+2+2+2+2+2+2= 16 - inside 4= 12?
After nearly 40 years of pondering vector calculus,I think you have explained line integrals,volume integrals and surface integrals and how they are all tied together,thanks.
I have updated my RUclips User name and picture, to help people immediately recognize what this channel is about. As always, for each video that you like, you can help more people find it in their RUclips search engine by clicking the like button, and writing a comment. Lots more videos are coming very soon. Thanks.
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link: ruclips.net/user/timedtext_video?v=qOcFJKQPZfo&ref=share You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately. Details about adding translations is available at support.google.com/youtube/answer/6054623?hl=en Thanks.
The only way people can add a translation is by adding subtitles through the link above. Ifran, I just received subtitles in Urdu, which I assume are from you. Thank you very much. These subtitles are now available to people watching the video on my channel. People can see the subtitles by clicking on the gear symbol under the video, then clicking on "subtitles", then selecting the language.
Spend lots of time to understand actual meaning of divergence and curl and not succeeded , then found your video and understood in 25 minutes. Thanks you so much for these amazing videos. Best channel for Physics and mathematics.
Simple and elegant! Your videos are superb! I only wish that I would have come across them much sooner! Thank you for all your hard work Mr. Khutoryansky.
sincerely, I have just tangibly grasped the spatial meanings of the "rotational" vector and of the "divergence" scalar after having studied and manipulated them in math at the university, 45 years ago !! your videos are a blessing of rejuvenation !! I ❤️ them!
I can always go to a video involving the math of your topics following your newest video and follow it, thanks to how well you organize and present these. Thank you so much
Long ago, when I took a course on Electricity and Magnetism, the tracher didn't explain anything about curl, gradient or divergence. He only taught us the mathematical way they are calculated. Now, with this video I completely understood these terms. Thank you very much. Eugene Khutoryannky, for this and other axplanations you have given through your videos.
Thanks. I am glad that my videos are helpful. The reason your teacher didn't explain it is most likely because he didn't understand it himself, and he was just repeating it the way he himself was taught. This is a very common problem.
I said that before, but each time I see a new one, I am forced to repeat! You are the best physics/math illustrator on this entire planet earth (known to me)!
This video was unbelievably helpful. This has shown to me that I am 100% a visual learner and that I should seek videos like this for topics I have a hard time grasping. I very much appreciate the effort that went into this!
I am really grateful that I found your channel. I thank you very much for your efforts and I really really hope that you stays interested and motivated in keeping producing such videos.
These 25 minutes needed your hours of hardwork and it saved my hours of hard work to understand it so easily. I am studying engineering mathematics and wanted to understand physical meaning of Divergence and curl. Thank you, thank you, thank you. 😇
Hi Eugene Khutoryansky This video is amazing! Is it possible in future to cover topics like line and surface integrals and its applications???. Also green and stokes theorem.
these videos are the best to develop some real math/physics intuition, every equation comes alive after watching them in these simulations, thank you so much!
Another wonderful video! I am deeply impressed by how Eugene (and Kara!) can manage to explain so much math without (or, mostly without) using any formulas!
+Pär Johansson Thanks. What I am trying to do is give people an intuitive understanding of what the formulas mean by visualizing images of what they represent. Once someone has this visualization, they can derive the formulas from the images. However, it doesn't work it the reverse order. Knowing the formula doesn't necessarily mean that someone can derive the image of what it represents. This is why I believe that the images are far more important than the formulas, and the images also make the topic accessible to more people.
+Physics Videos by Eugene Khutoryansky This is perfect for me because I am a pure visual learner and I can't learn anything if I don't see it moving... it's kinda unfortunate, but thanks to people like you, I can learn. Forever grateful here.
After completing my 1st semester I was totally disappointed to opt engineering because my love 'Physics' was continuously going far to me but thanx for your electric , magnetic field to create an attractive force between me and the Physics. 😍
Just when I have a multi variable calculus exam in hours and this is precisely the topic in the exam. Thanks Mr Eugene for a great video, greetings from Mexico.
Thank you so much for this great video. I am very happy to study with this subtitled video. For non-native english learner student like me needs also subtitile. So I appreciate so much! and I hope you'll keep uploading these great videos! thanks!
just an appreciation post. your videos are one of the primary reasons of my interest sparking in physics keep up the amazing work and inspiring people! You should know what you're doing is changing people's outlooks kudos!
It's incredible how easy the video is to understand, even to those without a background in mathematics or physics. The timing is perfect as well as my multivariate calculus final is tomorrow. Thanks!
OMG, it makes so much more sense to capture the flowing particles using a box instead of a ball! This way, you can easily decompose them in the direction of xyz (and generalize to higher dimension)
Woah how about your grade? I just have my exam of multi variable calculus too in hours and the professor said in class "just study divergence and curl of a vectorial" and I found this
This video is amazing, i'm a visual kind of person. Explaining with animation helps me a lot to understand the concept! Thank you for making the great content! :)
Thanks again i think this is my favourite video! It really helped my in my understanding of Nabla notation and Green’s Theorem… explained vis curl and divergance… AMAZING! THANK YOU!
Thanks a lot, Eugene! Your video helped me a lot a lot a lot. I have been grappling with these concepts for a long time now! Subscribed! :) Rarely do I subscribe to a channel after watching just one video of theirs.
This was very useful to me..as i was unable to understand the physical interpretation of curl and divergence. Thank u so much for this useful information.
really thank you i v been trying to understand the curl for years and i couldnt but today finally i understood it after i watched this video really thank you
The world of physics is full of imagination. Thanks a lot for converting this imaginative world into real world 😊😊👌👌👏👏 The more is our imaginative power the more we can explore in physics. But unfortunately all are not blessed with this imaginative power. But if they watch these videos they can surely develop imaginative power.
You say it doesn't matter what the particles inside the loop are doing, (18:00), but what if they have a different magnitude, or their arrow is smaller/bigger/in a different direction?
Very lucid visual interpretation of Divergence and Curl with good animation and explanation. Lot of time and work is required for such animated videos, Kudos to you for making such videos. Hope you make videos on Maxwell's equations.
As always, an invaluable contribution for those wishing to learn about these topics. Thanks, Eugene Khutoryansky. Have you considered making an Android/iPhone app, in which these physics concepts can be used and tested?
![Seungmin "그렇게, 천천히, 우리(As we are)" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/kAzmhLHePqU/mqdefault.jpg)
To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available).
--To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable.
--To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video.
--If you believe that the translation in the subtitles can be improved, please send me an email.
Hello do you need Arabic translation? im a math and statistics student from Montreal and speak Arabic fluently
Although many of my videos already have Arabic subtitles available, many others still need them. If you would like to help provide Arabic subtitles, please send me an email. My email address is available in the "about" tab of my RUclips home page. I will email you the subtitle file in English (which includes the timings). You will then be able to edit the file to replace the English with the translation, and email the file back to me. I will then upload it to my channel. Thanks.
Please provide hindi subtitle.
19:23 if inner 4 particles are rotating anticlockwiz then what will be the sum?
2+2+2+2+2+2+2+2=16 + inside 4= 20 or 2+2+2+2+2+2+2+2= 16 - inside 4= 12?
After nearly 40 years of pondering vector calculus,I think you have explained line integrals,volume integrals and surface integrals and how they are all tied together,thanks.
I have updated my RUclips User name and picture, to help people immediately recognize what this channel is about. As always, for each video that you like, you can help more people find it in their RUclips search engine by clicking the like button, and writing a comment. Lots more videos are coming very soon. Thanks.
+Physics Videos by Eugene Khutoryansky
where's the puppy :(
+ヌリシルヴァン, The puppy can still be seen on my Patreon page. :)
Thanks :D
ɷɷɷɷ Heeyy Friendsssss I Have F0unddd Workingg Online Hacck visitttt : - t.co/bZI4TtjdlL
How old r u ? ,i am 14 years old
Best visual physics demonstration channel so far :)
Thanks for the compliment.
Physics Videos by Eugene Khutoryansky
Physics Videos by Eugene Khutoryansky
+Physics Videos by Eugene Khutoryansky we love you
Physics Videos by Eugene Khutoryansky
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link:
ruclips.net/user/timedtext_video?v=qOcFJKQPZfo&ref=share
You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately.
Details about adding translations is available at
support.google.com/youtube/answer/6054623?hl=en
Thanks.
I want to translate your voice into Urdu Language. Will you allow me to do so?
The only way people can add a translation is by adding subtitles through the link above. Ifran, I just received subtitles in Urdu, which I assume are from you. Thank you very much. These subtitles are now available to people watching the video on my channel. People can see the subtitles by clicking on the gear symbol under the video, then clicking on "subtitles", then selecting the language.
Spend lots of time to understand actual meaning of divergence and curl and not succeeded , then found your video and understood in 25 minutes. Thanks you so much for these amazing videos. Best channel for Physics and mathematics.
I am glad my video was helpful. Thanks for the compliments about my videos.
@@EugeneKhutoryansky 🔥 Make more and more videos , I can spend hours and hours learning from your channel.
Hours of misunderstandings cleared up in 25 minutes. Thank you!
+Nirmala Liyanaarachchi, glad I was able to help.
Remember you from a 3b1b vedio, if not I'm mistaken. Well, where are you now?
@@kakalimukherjee3297 non of your business goddamit
years* of misunderstandings
I'm always happy to stumble on your videos when I can't get a concept through my head. So much better explained than in my engineering classes.
Thanks.
Simple and elegant! Your videos are superb! I only wish that I would have come across them much sooner! Thank you for all your hard work Mr. Khutoryansky.
Thanks for the compliment. I am glad you like my videos.
One of the most beautiful and highly oriented educative video. The efforts given are worth praise. Thanks for the subtle visual explanation
Thanks for the compliment. I am glad you liked my video.
sincerely, I have just tangibly grasped the spatial meanings of the "rotational" vector and of the "divergence" scalar after having studied and manipulated them in math at the university, 45 years ago !! your videos are a blessing of rejuvenation !! I ❤️ them!
Thanks. I am glad you like my videos.
I can always go to a video involving the math of your topics following your newest video and follow it, thanks to how well you organize and present these. Thank you so much
Long ago, when I took a course on Electricity and Magnetism, the tracher didn't explain anything about curl, gradient or divergence. He only taught us the mathematical way they are calculated. Now, with this video I completely understood these terms. Thank you very much. Eugene Khutoryannky, for this and other axplanations you have given through your videos.
Thanks. I am glad that my videos are helpful. The reason your teacher didn't explain it is most likely because he didn't understand it himself, and he was just repeating it the way he himself was taught. This is a very common problem.
I said that before, but each time I see a new one, I am forced to repeat!
You are the best physics/math illustrator on this entire planet earth (known to me)!
+Fakher Halim, thanks for that really great compliment.
The only time that I feel I am a physicist is the time I watch your videos. Perpendicularly thanks
Thanks.
atleast it provides a ground for understanding,thumbs up for eugene and your team👍👍
Thanks.
Excellent work. Never seen such informational videos anywhere else. No words to express my gratitude to you. Thnk you so much.
Thanks for the compliment.
Excellent explanation and visual display. I've never really understood divergence and curl until now. Thanks much. You do a great service.
Thanks.
ur channel is amazing and it helps me visualizing the concepts i cant before. i m from pakistan n really a fan of urs.
+Cpalead Cpalead, thanks. I am glad you like my channel and that you have found it helpful.
You do amazing work! Please continue to produce these videos, they are an absolutely fantastic resource for understanding these concepts better.
+D C, Thanks for the compliment. Lots more videos are on their way.
This video was unbelievably helpful. This has shown to me that I am 100% a visual learner and that I should seek videos like this for topics I have a hard time grasping. I very much appreciate the effort that went into this!
Glad my video was helpful. Thanks.
I am really grateful that I found your channel. I thank you very much for your efforts and I really really hope that you stays interested and motivated in keeping producing such videos.
Thanks. I am glad you like my videos. More videos are on their way.
Simply amazing presentation.It is fantastic tool for understanding the terms of divergence and curl.!!
Thanks.
finally! i understand curl completely! and i now have extra intuition about divergence / flux ! thank you!
Thanks. I am glad my video was helpful.
yay
These 25 minutes needed your hours of hardwork and it saved my hours of hard work to understand it so easily.
I am studying engineering mathematics and wanted to understand physical meaning of Divergence and curl.
Thank you, thank you, thank you. 😇
Glad my video was helpful. Thanks.
Hi Eugene Khutoryansky
This video is amazing! Is it possible in future to cover topics like line and surface integrals and its applications???. Also green and stokes theorem.
+yoganand soundararajan For now try Khan Academy and Pauls online notes. Those are really good resources!
If you watch and think alittle that's exactly what the video goes thru,it's all there.
The orig Khan acad. video's on multivariate cal really suck,bad lots of errors,very poor,make more confusion than answer.
Helmholtz Theorem too please.
Holy Cow !! This is Blasphemy ,, back in my days , it took me weeks to imagine how a curl or divergence would look.
I finished an introdutory course of particle physics this semester. This video helped me a lot to visualize what I learned.
+Rodrigo Appendino, Glad to hear that my video was helpful. Thanks.
You mean, this video helped you visualize what you didn't learn. :P
and this year's Nobel peace prize (for enlightening the world) goes to..... . love your work,sir.
Thanks for the compliment.
these videos are the best to develop some real math/physics intuition, every equation comes alive after watching them in these simulations, thank you so much!
+Federico Vinelli Thanks for the compliment. I am glad that you like my videos that much.
This visualization explains Divergence and Stokes theorems in the best way one could imagine. ❤️
I love 3000 ..who is explaining such a nice explanation I have ever seen!
I like to watch your videos before learning more strict definitions, they help a lot.
Another wonderful video!
I am deeply impressed by how Eugene (and Kara!) can manage to explain so much math without (or, mostly without) using any formulas!
+Pär Johansson Thanks. What I am trying to do is give people an intuitive understanding of what the formulas mean by visualizing images of what they represent. Once someone has this visualization, they can derive the formulas from the images. However, it doesn't work it the reverse order. Knowing the formula doesn't necessarily mean that someone can derive the image of what it represents. This is why I believe that the images are far more important than the formulas, and the images also make the topic accessible to more people.
+Physics Videos by Eugene Khutoryansky This is perfect for me because I am a pure visual learner and I can't learn anything if I don't see it moving... it's kinda unfortunate, but thanks to people like you, I can learn. Forever grateful here.
After completing my 1st semester I was totally disappointed to opt engineering because my love 'Physics' was continuously going far to me but thanx for your electric , magnetic field to create an attractive force between me and the Physics. 😍
This is awesomely thorough and well-done. Good timing too: My multivariable calc final is on Thursday :)
+SHIFTKICK Thanks for the compliment, and I am glad to have this in time for your final.
1 year later, my multivariable calc final is tommorow. :)
SHIFTKICK oo
5 years later and mine is today!
@@carolinekouri8951 Wow...5 years. Good luck on your final!
Your videos are amazing! I hope you know how much you are going to help people. Thank you!
+Brian Jones, thanks for the compliment about my videos.
Just when I have a multi variable calculus exam in hours and this is precisely the topic in the exam.
Thanks Mr Eugene for a great video, greetings from Mexico.
Thanks. I am glad my video was helpful.
Magnificent! Best visualization I've seen for such difficult concepts. Many thanks
Thank you so much for this great video. I am very happy to study with this subtitled video. For non-native english learner student like me needs also subtitile. So I appreciate so much! and I hope you'll keep uploading these great videos! thanks!
Thanks. Glad you liked my video. More videos are on their way.
just an appreciation post.
your videos are one of the primary reasons of my interest sparking in physics
keep up the amazing work and inspiring people! You should know what you're doing is changing people's outlooks
kudos!
Thanks for the compliment about my videos. I am glad to hear that they are making a difference.
Beautifully explained the concept and purpose of the Divergence and Curl.
Thanks.
I just love you Eugene! Your truly the best physics teacher....your videos seriously help me a lot...
Thanks for the compliment.
It's incredible how easy the video is to understand, even to those without a background in mathematics or physics. The timing is perfect as well as my multivariate calculus final is tomorrow. Thanks!
+coustyx, I am glad that I managed to finish this video in time for your final. And thanks for the compliment.
This Channel is just more than amazing.
Thanks for the compliment.
this channel needs a noble prize
Thanks for the compliment.
OMG, it makes so much more sense to capture the flowing particles using a box instead of a ball! This way, you can easily decompose them in the direction of xyz (and generalize to higher dimension)
Это лучшее объяснение I ever seen. Очень недооцененное видео
This channel is truly worth it.
+DeltaAccel, thanks.
I love you you make this SO easy - I am sharing this will my ten year old son - because its so well done that he will get this too
+Charlie Bayliss, Thanks for the compliment, and I hope your son enjoys my video too.
This video is amazingly clear and informative. Thanks a bunch Eugene!!
Really really helpful your videos
Amazing work
Thank youuu so much for you and your team for such a great work
Keep going 👍🏾👊🏾💪🏾
This is a Masterpiece video.
I must say one of the best video I've ever watched and amazed
Thanks for the compliment about my video.
I'd donate to you soon as I get a job. Thanks a lot! Excellent visual representation.
Thanks. I am glad you liked my video that much.
You and 3b1b together make my life so simple :) lovingg these masterpieces
Thanks.
Best channel for studying physics.... plz keep it up
Thanks for the compliment. More videos are on their way.
Great teaching in 25 minutes than wasting 1 hour in classes
Yes😊
"Billion likes" Video , superb ...thanks for putting so much effort in it .
Oh damn.. just when I'm about to have my exam in multi variable calculus next Tuesday, you post this :D Gonna watch it for sure!
+xihai luo, I am glad that I had this video out just in time for your exam. :)
Woah how about your grade?
I just have my exam of multi variable calculus too in hours and the professor said in class "just study divergence and curl of a vectorial" and I found this
@@coria6231 I got 85. The final exam was pretty easy for the most part. Only question I messed up on was the last lol
@@huihui666 Bruh I finished my exam 30 mins ago and woah this wasn't the topic lol
@@coria6231 That's good because we definitely had 1 or 2 questions about divergence and curl
This video is amazing, i'm a visual kind of person. Explaining with animation helps me a lot to understand the concept! Thank you for making the great content! :)
Glad you liked my video. Thanks.
Thanks again i think this is my favourite video! It really helped my in my understanding of Nabla notation and Green’s Theorem… explained vis curl and divergance… AMAZING! THANK YOU!
Thanks!!!
This is an awesome way to picture what's happening in my E&M class right now
+tpespos, Glad my video was helpful. Thanks.
Gravity is not responsible for people falling in love. But this video is responsible for falling love with you😍
Thanks.
@conacal rubdur ; nope. In the souther parts of the USA Eugene is a female Name. Listen to the voice and you will hear IT
@conacal rubdur The narrator is Kira Vincent. She is a voice actress.
Great demonstration of fundamental concept regarding Electromagnetic Field Theory! Much thanks.
The music is the coolest part of this fun video.
Hail to the visual teachers!
Very nice visual explaination of difficult concepts...Thank you for making complicated things very easy to understand.
Hi Eugene Khutoryansky. Thanks for sharing you high quality visual physics demonstrations.😃
Thanks for the compliment.
Thanks a lot, Eugene! Your video helped me a lot a lot a lot. I have been grappling with these concepts for a long time now!
Subscribed! :) Rarely do I subscribe to a channel after watching just one video of theirs.
+Geet George, thanks. I am glad you found my video helpful, and I am glad to have you as a subscriber. I hope you enjoy all my other videos too.
This was very useful to me..as i was unable to understand the physical interpretation of curl and divergence. Thank u so much for this useful information.
really thank you i v been trying to understand the curl for years and i couldnt but today finally i understood it after i watched this video really thank you
I am glad to hear that my video was helpful.
This is awesomely brilliant. Thank you so much.
Thanks for the compliment. I am glad you liked my video.
This is the best explanation I had ever seen. Thank you!!
Thanks for the compliment about my explanation.
Best explanation that I had ever seen💯👌
Thanks for the compliment.
Best physics channel ever
Thanks for the compliment.
@@EugeneKhutoryansky please try to upload concepts upto graduate level or higher . 🙏🙏
Really amazing, you deserve Patreon support!
Thanks.
Amazing illustration, it makes mathematics a wonderful and fun! Wow!!
Thanks for the compliments.
Hello,your vedios are so helpfull to understand the depth of things .great job...thanks for making this vedio
Thanks. I am glad you liked my video.
I never quite visualized Ampere's Law well, you helped me a lot in this video!
incredible video to visualize vector analysis and particularly Stokes theorem, great thank you
Thanks for the compliment about my video.
The world of physics is full of imagination. Thanks a lot for converting this imaginative world into real world 😊😊👌👌👏👏 The more is our imaginative power the more we can explore in physics. But unfortunately all are not blessed with this imaginative power. But if they watch these videos they can surely develop imaginative power.
Thanks.
Thank you, I really like the combination of music and math and the super illustration of the sciences .
Thanks.
superb graphics, very informative and educational subjects, please keep up the terrific work, which I know is not easy
+Mystl2, thanks for the compliment. More videos are on their way.
You are doing a really amazing job....
Thanks.
This channel is so underrated !!!
Thanks for giving this wonderful video
Thanks.
Great job...effectively helping my understanding of difficult topics..
+rokandu, thanks. I am glad to hear that my video was helpful.
thanks for the explanation !!!
You made me visualize something i been using for years but didn't completly understand :o
+Santiago Agudelo Montoya, glad to hear that my explanations was helpful.
As always i love your videos! Awesome work and it really makes understanding it all a lot easier!
+Daniel Lassander, thanks. I am glad that you love my videos, and thanks for the compliment.
You say it doesn't matter what the particles inside the loop are doing, (18:00), but what if they have a different magnitude, or their arrow is smaller/bigger/in a different direction?
Very lucid visual interpretation of Divergence and Curl with good animation and explanation. Lot of time and work is required for such animated videos, Kudos to you for making such videos. Hope you make videos on Maxwell's equations.
Thanks for the compliment, and I already have a video on Maxwell's equations. It is at
ruclips.net/video/9Tm2c6NJH4Y/видео.html
oh thanks
Thank you, very good explanation helped me a lot. However it is kind of slow so that i recommend setting the speed of the video to 1.25 or 1.5.
As always, an invaluable contribution for those wishing to learn about these topics. Thanks, Eugene Khutoryansky.
Have you considered making an Android/iPhone app, in which these physics concepts can be used and tested?
Poetry in motion !
This video is awesome. I love u for this. So beautifully explained
Physics Videos by Eugene Khutoryansky Thanks for awesome lectures.
Which program do you use for animation ?
I make my 3D animations with "Poser."
Finaly I understand divergence and curl thanks a lot dear.....
this is amazing and awesome the subtitles helps so much thank you very much
I am glad you liked my video. Thanks.
ridiculously lucid! couldn't thank you enough!
At 19:22 why they turned to zero? The arrows were parallel and in same direction. Shouldn't they add up and give 2 instead?
Yes yes 🇮🇳🇮🇳
If the particles complete the loop, their motions would be contrary. One clockwise & other anticlockwise. Hence they would cancel out each other.