No video

Flux of a Vector Field Across a Surface // Vector Calculus

  Рет қаралды 62,129

Dr. Trefor Bazett

Dr. Trefor Bazett

Күн бұрын

in his video we derive the formula for the flux of a vector field across a surface. This is very analogous to our two dimensional story about the flux across a curve. We can describe surfaces either parametrically, explicitly, or implicitly and so we come up with formula for the flux across a surface for each description.
MY VECTOR CALCULUS PLAYLIST:
►VECTOR CALCULUS (Calc IV) • Calculus IV: Vector Ca...
OTHER COURSE PLAYLISTS:
►DISCRETE MATH: • Discrete Math (Full Co...
►LINEAR ALGEBRA: • Linear Algebra (Full C...
►CALCULUS I: • Calculus I (Limits, De...
► CALCULUS II: • Calculus II (Integrati...
►MULTIVARIABLE CALCULUS (Calc III): • Calculus III: Multivar...
►DIFFERENTIAL EQUATIONS: • How to solve ODEs with...
OTHER PLAYLISTS:
► Learning Math Series
• 5 Tips To Make Math Pr...
►Cool Math Series:
• Cool Math Series
BECOME A MEMBER:
►Join: / @drtrefor
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: www.amazon.com...
SOCIALS:
►Twitter (math based): / treforbazett
►Instagram (photography based): / treforphotography

Пікірлер: 35
@DrTrefor
@DrTrefor 3 жыл бұрын
At 5:57 I have a typo. I forget to change back from dudv which I was using parametrically to dxdy which is used when it is implicit over the xy-plane. So everything is dxdy after this.
@utsavdesai3451
@utsavdesai3451 3 жыл бұрын
Best Ever Playlists for Mathematics!!!!!
@BoZhaoengineering
@BoZhaoengineering 3 жыл бұрын
I enjoy this series more and more. I suddenly notice that the major conclusions in vector calculus are as remarkable as those derived from calculus 1, 2 and 3.
@DrTrefor
@DrTrefor 3 жыл бұрын
isn't that so cool!
@shubhamsatyaprakash54
@shubhamsatyaprakash54 3 жыл бұрын
You will reach 1 million soon. Thank you for your time and quality content..
@DrTrefor
@DrTrefor 3 жыл бұрын
I hope so!
@hrkalita159
@hrkalita159 3 жыл бұрын
Yaa bro
@willm6598
@willm6598 2 жыл бұрын
dude these videos are incredible
@Sasuke-Uchiha
@Sasuke-Uchiha 3 жыл бұрын
OH MY FUCKING GOD. I UNDERSTAND!!!! I'VE BEEN STRUGLING WITH LINE INTEGRALS THIS ENTIRE SEMESTER. THANK YOU
@hhhh-os4lz
@hhhh-os4lz Жыл бұрын
You helped us clear all our exams Thank you Professor
@canal_interpolo
@canal_interpolo 3 жыл бұрын
What software do you use for plotting functions in general? Multivariable functions, surfaces, tangent planes, vector fields, etc. Is it matlab? It would be really helpful if you made a video about that
@DrTrefor
@DrTrefor 3 жыл бұрын
It is! I might do so one of these days that is a good idea
@canal_interpolo
@canal_interpolo 3 жыл бұрын
@@DrTrefor omg please do it, I would love that! Thank you. Huge fan from Brazil
@qamarmoavia4031
@qamarmoavia4031 3 жыл бұрын
Thank u Dr. Trefor Bazett . Keep it up ..
@DrTrefor
@DrTrefor 3 жыл бұрын
Thank you, I will!
@j.o.5957
@j.o.5957 3 жыл бұрын
So we're essentially doing the same as earlier, finding the relationship between the unit normal and the F vector at that point, and then making it computational for both parameterized and implicit functions. Question to self: what would be the difference between the orientation of unit normal vectors being outwards vs inwards? Using right hand rule, I assume that would be the order or the cross product, meaning r_u X r_v or r_v X r_u for the parametric one. For the implicit one though, how would that be? The only variable there would be p_hat. I'm assuming that p_hat is the normal vector to the surface, so it couldn't be exactly i_hat, j_hat or k_hat, but some combination of the three? Computationally, my guess is it will look like p_hat = x*i_hat + y*j_hat + z*k_hat, where sqrt( these^2 ) = 1, but I'm not certain. We'll probably get to this in a later example.
@momen8839
@momen8839 3 жыл бұрын
I want to apply that on Gauss law in electrostatic and magnetostatic
@DrTrefor
@DrTrefor 3 жыл бұрын
There is going to be a video on just that coming up in about two weeks!
@sudiptaroyarts3861
@sudiptaroyarts3861 3 жыл бұрын
Sir you are awesome sir I am a physics undergrad student ❤❤❤
@DrTrefor
@DrTrefor 3 жыл бұрын
nice my undergrad was physics too!
@sarajann5493
@sarajann5493 Жыл бұрын
Thank you very much
@evdmalphysics
@evdmalphysics 2 жыл бұрын
Good day. Could I ask you, what programs do you use for drawing formulas, figures and animations in your content?
@momen8839
@momen8839 3 жыл бұрын
I have a question in the proof of Gauss law in all textbooks they prove it by integral of electric field of a charge on the area of spherical surface and the result will be of course, that integral [E.n.dA]=q/€ so why this result genarlized on all surface areas however they are sometimes not be spherical?
@DrTrefor
@DrTrefor 3 жыл бұрын
Ah yes, I'll be doing a whole video on that exact thing, but it comes a a property of the divergence theorem for fields with zero divergence that you can replace one surface with any other.
@shoshoshapan4982
@shoshoshapan4982 3 жыл бұрын
I like how you explain it, thank you so much that's help me a lot ^-^
@DrTrefor
@DrTrefor 3 жыл бұрын
Happy to help!
@bendavis2234
@bendavis2234 Жыл бұрын
Hey, great video! I have one question: when you use the vector p-hat, what is supposed to signify? Is it an arbitrary unit vector, or is it supposed to be identified as either i-hat, j-hat, or k-hat? And what's the purpose of it? Thanks a lot, your videos are a great supplement to the text I'm reading. They help a lot.
@sergiolucas38
@sergiolucas38 2 жыл бұрын
Good video :)
@peterhindes56
@peterhindes56 Жыл бұрын
what is the p vector
@user-lw9tn4pk3d
@user-lw9tn4pk3d 2 жыл бұрын
At the end of the video, what does the p vector represent?
@andyralph9495
@andyralph9495 3 жыл бұрын
which textbook can I refer to for practicing problems on vector calculus?
@PiniiXever
@PiniiXever 3 жыл бұрын
We use multivariable calculus Stewart 7th edition. Available online
@zakirhussain-js9ku
@zakirhussain-js9ku Жыл бұрын
I think a charge has electric flux around it. Electric field appears only when flux of one charge interacts with flux of other charge.
@jscruz685
@jscruz685 Жыл бұрын
What you just said makes absolutely no sense
@eddie-fu3zt
@eddie-fu3zt Жыл бұрын
this is so explanatory.... he even came up with this flux of a vector nonsense😂😂
Computing the Flux Across a Surface //  Vector Calculus
8:09
Dr. Trefor Bazett
Рет қаралды 87 М.
小丑把天使丢游泳池里#short #angel #clown
00:15
Super Beauty team
Рет қаралды 42 МЛН
OMG what happened??😳 filaretiki family✨ #social
01:00
Filaretiki
Рет қаралды 12 МЛН
Вы чего бл….🤣🤣🙏🏽🙏🏽🙏🏽
00:18
The Divergence of a Vector Field: Sources and Sinks
20:57
Steve Brunton
Рет қаралды 68 М.
ALL of calculus 3 in 8 minutes.
8:10
gregorian calendar
Рет қаралды 1,1 МЛН
Stokes' Theorem // Geometric Intuition & Statement  //  Vector Calculus
8:32
Dr. Trefor Bazett
Рет қаралды 169 М.
Evaluating Surface Integrals
12:24
Professor Dave Explains
Рет қаралды 340 М.
Surface Integrals
19:45
MIT's Experimental Study Group
Рет қаралды 257 М.
87 - Surface integrals of vector fields
29:01
הטכניון - מכון טכנולוגי לישראל
Рет қаралды 59 М.