Divergence in cylindrical coordinates

[phrygian]

Homework Statement

Calculate the divergence of the vector function f = a/s^2 (s hat) where s is the radial distance from the z axis, expressed in cylindrical coordinates.

Homework Equations

The Attempt at a Solution

Using the divergence theorem I relate the volume integral of the divergence to the surface integral f.da where da = (s dtheta dz). But I don't know what to set the bounds when integrating with respect to z, it seems like they could be anything? Am I taking the right approach?

Thanks for the help

 

[vela]

No, you're taking the wrong approach. You should find in your textbook or notes expressions for the divergence in various coordinate systems, like this:

http://hyperphysics.phy-astr.gsu.edu/hbase/diverg.html