Vector Field: Showing Divergence & Curl A = 0

Click For Summary

Homework Help Overview

The discussion revolves around a vector field defined by A = f(r)r, specifically focusing on demonstrating that the divergence of A equals zero and that the curl of A is always zero. The subject area includes vector calculus, particularly in the context of spherical coordinates.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants inquire about the equations for divergence and curl in spherical coordinates, suggesting a need to apply these equations to the given vector field. There is also a mention of the representation of vector r in terms of spherical coordinates.

Discussion Status

The discussion is ongoing, with participants attempting to clarify the necessary equations and how to apply them to the problem. Some have expressed familiarity with the equations, while others are prompting further exploration of the setup.

Contextual Notes

There appears to be a focus on ensuring the correct application of spherical coordinates, with some participants questioning the assumptions regarding the vector field's representation.

danai_pa
Messages
29
Reaction score
0
A vector field is difined by A = f(r)r.

a) show that f(r) = constant/r^3 if divergence A equal to zero.

b) show that curl A is alway equal to zero
 
Physics news on Phys.org
Do you know the equations for divergence and curl in spherical coordinates?
 
StatusX said:
Do you know the equations for divergence and curl in spherical coordinates?

yes i known.
 
so plug it in...
 
StatusX said:
so plug it in...

i think you mean, find a divergence and curl in a spherical coordinates. vector r is represent r, theta and phe
 

Similar threads

Replies
3
Views
1K
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
13
Views
11K
  • · Replies 38 ·
2
Replies
38
Views
3K
Replies
6
Views
7K
  • · Replies 17 ·
Replies
17
Views
2K
Replies
3
Views
2K
Replies
2
Views
1K
Replies
1
Views
2K