- #1

EngageEngage

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## Homework Statement

Change to cylindrical coordinates and find the divergence

F = <x, y, 0>/(x^2 + y^2)

## Homework Equations

[tex]\nabla[/tex] . F = [tex]\frac{1}{\rho}[/tex][tex]\frac{\partial\rho F}{\partial\rho}[/tex]+[tex]\frac{1}{\rho}[/tex][tex]\frac{\partial F}{\partial\theta}[/tex]+[tex]\frac{\partial F}{\partial z}[/tex]

## The Attempt at a Solution

i changed into cylindrical by simply having x = [tex]\rho[/tex]cos[tex]\theta[/tex]

y =[tex]\rho[/tex]sin[tex]\theta[/tex] and x^2 +y^2 = [tex]\rho[/tex]^2. THen, using the above formula I get cos(theta)/rho^2. The answer is 0 however. Can someone please tell me what i could have messed up?