Show that the force field expressed in spherical coordinates (mathbf{F}=f(r, theta) mathbf{r}) is conservative if and only
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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 the full answer
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