What Is the Role of Divergence in Vector Calculus?

[Physgeek64]

Got it. Thank you ;)

 

[BvU]

Hi there,

Looks a bit like homework, for which we have a nice template !

Is it allowed to simplify this exercise to a sphere with the origin at the center ? Because if it is about a cube with the origin way outside of the cube, things seem complicated to me...

In the simple case $\vec r$ goes to $\vec r'= {\rm \ ?}$ so that $\vec h = \vec r'- \vec r = {\rm \ ?}$ and that you can subject to the divergence operation (from its definition) , I should hope ?

 

[Physgeek64]

Hi there,

Looks a bit like homework, for which we have a nice template !

Is it allowed to simplify this exercise to a sphere with the origin at the center ? Because if it is about a cube with the origin way outside of the cube, things seem complicated to me...

In the simple case $\vec r$ goes to $\vec r'= {\rm \ ?}$ so that $\vec h = \vec r'- \vec r = {\rm \ ?}$ and that you can subject to the divergence operation (from its definition) , I should hope ?

Its okay, I have sorted out my queries. But thank you. I didn't know whether to post this in homework as it is not technically homework, as I am doing it a while in advance so I was hoping more for general background information than for specifics on how to do the question. :)

 

[BvU]

Please don't delete the original post -- it makes the thread incomprehensible !

Was your answer $3\alpha$ ?

What kind of background info did you have in mind ?

 

[Physgeek64]

Please don't delete the original post -- it makes the thread incomprehensible !

Was your answer $3\alpha$ ?

What kind of background info did you have in mind ?

ahh I am sorry- I just don't know how to delete the post.
Kind of- I got the volume increase to be 1+divh, which is the same thing?

 

[BvU]

ahh I am sorry- I just don't know how to delete the post.

Well, effectively you did by overwriting it. Perhaps you can restore the original ?

Kind of- I got the volume increase to be 1+divh, which is the same thing?

Relative, I assume. Sounds good. Can you underpin it ?