Evaluate the divergence of the vector field

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SUMMARY

The discussion focuses on evaluating the divergence of three specific vector fields: A= XYUx + Y^2Uy - XZUz, B= ρZ^2Up + ρsin^2(phi)Uphi + 2ρZsin^2(phi)Uz, and C= rUr + rcos^2(theta)Uphi. A key point raised is the incorrect application of the divergence formula in polar coordinates, which differs from the Cartesian approach. The user corrected their understanding before submitting their homework, highlighting the importance of accurate mathematical expressions in vector calculus.

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  • Familiarity with polar and Cartesian coordinate systems
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Homework Statement


Evaluate the divergence of the following vector fields
(a) A= XYUx+Y^2Uy-XZUz
(b) B= ρZ^2Up+ρsin^2(phi)Uphi+2ρZsin^2(phi)Uz
(c) C= rUr+rcos^2(theta)Uphi


Homework Equations





The Attempt at a Solution


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Don't know if this post is still important to you since it's a little old, but your expression for the divergence in polar coordinates is incorrect, as there are extra factors in the formula (it's not the same as you would in Cartesian). Take another look at it.

See here https://www.physicsforums.com/showthread.php?t=257816
 
Ok thanks man yah I figured out some of that and fixed it before turning that homework in
 
Cool
 

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