Question: Show that the force field expressed in spherical coordinates (mathbf{F}=f(r, theta) mathbf{r}) is conservative if and only if the function (f) is independent of (theta).

Show that the force field expressed in spherical coordinates $\mathbf{F}=f(r, \theta) \mathbf{r}$ is conservative if and only if the function $f$ is independent of $\theta$.

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To show that the force field mathbfF fr theta mathbfr expressed in spherical coordinates is conservative if and only if the function f is independent of theta we need to demonstrate both directions of ... View full answer

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