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57m
asked Calculate the flux through a surface S and my approach using Divergence theorem
2h
comment Calculate the flux through a surface S from a field described by vectors
I made a comment-response. Can you have a look at it?
5h
revised Calculate the flux through a surface S from a field described by vectors
changed the order
5h
accepted Calculate the flux through a surface S from a field described by vectors
5h
comment Calculate the flux through a surface S from a field described by vectors
@michaelrccurtis Thank you for answering. I just want to clarify if "2. No" means "No, this normal vector is not supposed to be used here". And regarding the 1. - I still can't figure out how did you get that $div\vec{F}$ is $5r^{2}$ from $(x^2 + y^2 + z^2) (x,y,z)$ which for me is equal to $x^3+y^3+z^3$?
14h
comment Calculate the flux through a surface S from a field described by vectors
Please check my EDIT, I have added a solution and I don't know if it is correct.
14h
revised Calculate the flux through a surface S from a field described by vectors
I added a solution to ask if it is correct
1d
comment Calculate the flux through a surface S from a field described by vectors
Thank you. Why does it take the form of $(x^2+y^2+z^2)$ and not $(x^2,y^2,z^2)$ - I mean why do you add the vector components together? Ad. 3 I would have calculated it, but I wanted to make sure the $\vec{F}$ is correct.
1d
awarded  Commentator
1d
comment Calculate the flux through a surface S from a field described by vectors
Yes, you are right with the first, that it should be $\vec{F} \cdot \vec{ds}$. But regarding the second point - it should have a symbol of $\unicode{x222F}$ but I couldn't make it work.
1d
asked Calculate the flux through a surface S from a field described by vectors
1d
accepted Divergence theorem and applying cylindrical coordinates
1d
comment Divergence theorem and applying cylindrical coordinates
At first I substituted $x^2+y^2=1$. Thank you for your suggestion, but still the obtained answer is presumably incorrect. Please check my Edit.
1d
awarded  Editor
1d
revised Divergence theorem and applying cylindrical coordinates
added r^2
1d
comment Divergence theorem
As advised, I created a post with my question here - math.stackexchange.com/questions/1418983/…
1d
asked Divergence theorem and applying cylindrical coordinates
Aug
31
accepted Calculate the flux through a closed surface
Aug
31
comment Divergence theorem
Hello. I have trouble with your answer - can I change the $dxdydz$ to another coordinates? What would be the cylindrical coordinates and their range in this case?
Aug
31
comment Calculate the flux through a closed surface
@JakeLebovic Thank you. So apparently after calculating $P_{x}, Q_{y}, R_{z}$ the exercise is finished?