Calculus 3: Divergence and Curl (12 of 32) What is the Curl? Part 1

In this video I will explain how a curl of a vector field is a measure of how much a vector field “circulates” around a given point, part 1 of 3.

Next video in the series can be seen at:

[satyamkumar]

Sir You r too much better than my college teacher

[michaelmeuser]

Thank you for spending the time to share your knowledge. This is very helpful.

[simegnewtesfaye]

This channel is highly underated, but sir your videos are incomparable 👍

[moazsalem]

I like watching your lectures. as well as your smile *( Smile is the key that fits the lock of everyone's heart )*

[joeimbesi]

Fabulous and clear explanation of these

[curtpiazza]

Wow! I'm starting to understand this topic!

[cjchin]

For vector field with linear change, why do you write R as 1. Isnt the R = sqrt(2)?

[GaugeSymm]

Is curl physical or just imaginary? in the sense that, say induced electric field possess finite curl, does that mean, the electric field actually circulates? or its just a notation to get better understanding, such as flux?
if so, what is the real significance of curl? and why some fields posses this circulating property while other's don't ( static electric field)?

[aaronlandry]

I appreciate the linear algebra way to derive the formula for curl, because my professor did not show us that and it’s much easier to use the matrix than to just memorize another formula

[chamilasumathiratna]

amazing explanation! Advance Math simplified

[Vikingman]

thank you Michel for your truly outstanding lectures! Most of the lectures on the net are either hard to see the white board, heavy foreign accent (already have substantial hearing loss), spend forever describing things or going way to fast skipping things (typically university professors assuming students already know), sloppy hand writing and the worst is poor sound and video from older technology. Yours are concise, to the point with excellent discussion of what is going on and excellent sound and video, and of course your words are plain, clear and easily understood. Thank you very much!!!

[johnbingham]

For a simple visual understanding, I suppose that one could think of Ampere"s rule or that of the vortex in a whirlpool.

[hg]

Just wonder why just after the matrix at the top, is it better to have +j (d/dz(Fx) + d/dx(Fz) ) instead of having negative as in the video although both ways work the same.

[rameshjain]

Sir I'm in class 11, I'm interested in astrophysics! Do I have to do any special studies now so as to have a better career in future?

[mustaphaalkhafaaf]

you are amaizing .. lot of respect.. thank you

[abdulrahmanmohamed]

sir, does the magnitude of the curl of a vector field means how much the magnitude of vector change when moving in the (x AND y direction) or in the (x OR y direction only)???

[floralee]

Sir. Thank you for the video. I have a question that I get that the Curl is orthogonal direction of Field plane, but why? . Its how big is the circulation of the vector field, but I don't get why that should be orthogonal to the field.

[chiragjain]

Michael sir how can we become a scientists (which courses are helpful for me)please help me

[family-accountemail]

Should it be a plus not a negative between the i and j terms in the definition?