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\textbf{Vector Fields}

\textit{\textbf{Scalar and Vector Fields}}
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\textbf{Question}

Determine the field lines of the following polar vector field.

$\un{F} = \un{\hat{r}} + r\un{\hat{\theta}}$


\textbf{Answer}

The field lines satisfy $dr = d\theta$.

So the field lines are the spirals $r = \theta + C$.

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