Differential elements dL, dS, dV in rectangular, cylindrical and spherical systems
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- čas přidán 28. 08. 2024
- This video is about how to visualize and how to find the differential elements such as small length dL, small area element dS and small volume element dV for Cartesian (rectangular), Cylindrical and Spherical Systems. This topic is important in the build up for Stokes Theorem , Divergence Theorem and other vector related topics and Engineering subjects like Electromagnetic field theory. This will prove helpful in engineering exams like GATE and IES.
Often students don't know what to do of dL, dS or dV elements they encounter in line integral, Surface (double) integral, volume (triple) integral.
This video takes a basic view and basic understanding of all the differential elements.
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This is just PERFECT. God bless you.
Just beautiful explanation
minimal time best explanation
Hats offf.........
Thanks a ton, keep watching brother
I bunked my math class and watched this. nice one
Haha you made my day with this comment!
Excellent explanation of the most fundamental topic🙂👏🏻👏🏻
Awesome! pleased to know this feedback!
Its a nice explanation for all differential elements... Awesome.
That is some encouraging comment! It will be great if you also tell us which topics could mean a lot more to students :) thanks a lot!
Amazing video, my man, thanks :)
Thank you sir for a very good explanation.
Pleasure is all ours!
Very well explained content👌
We are pleased to know that , it was helpful for you!
Thankyou sir
May God bless you sir🙏
Thanks a lot for your words monika! I ask the god the same for you!
I liked your Word of the Day concept
Thanks Amit! We will certainly keep it hanging in there! :)
Wow deva, very good job keep it up
Thanks a lot for your encouragement!
I think for cylindrical co-ordinate system at 9:53 dl = d(rho) + (rho)*d(phi) + d(z).
correct me if i am wrong. thanks
Hi Shihabul! You are absolutely correct. There has to be d(rho) instead of (rho) for the first term. Is that what you are referring to?
@@EdSharpener Yes. the first term should be d(rho) and the rest of the term is all ok. Thanks
Woah this is good !!!
Thanks a lot sir!!
Wonderful teaching sir
Thanks NIhgappa, Keep watching!
shouldnt dL for cylindrical coordinates not be d(rho) (rho hat) and not rho (rho hat)
yes taking rho to be r, the dL = dr (r hat)
Good job bro
Thanks so much Balsrang, it really inspires us!
10:57, shouldn't it be [rho+d(rho)][d(phi)] as the arc length?
We usually neglect small quantities like d(rho) d(phi) kind of products.