Vector Field: Showing Divergence & Curl A = 0

AI Thread Summary
A vector field defined as A = f(r)r requires that f(r) be constant/r^3 for the divergence of A to equal zero. Additionally, it is established that the curl of A is always zero in this scenario. Participants confirm their familiarity with the equations for divergence and curl in spherical coordinates. The discussion emphasizes the need to apply these equations correctly to derive the required results. Understanding these concepts is crucial for analyzing vector fields in physics and engineering contexts.
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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
 
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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
 
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