# Conservative field, need help!

#### rusicruc

I was tasked to determine whether the field is conservative. A force F is of the form (K/r^3) rhat in spherical coordinates, where K is constant. I will use the curl of the force F. Please help in setting it up using determinants.

#### studiot

Hint:

By symmetry from your parametric definition of F

$$\displaystyle \frac{{\partial F}}{{\partial \theta }} = \frac{{\partial F}}{{\partial \varphi }} = ?$$

topsquark
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