3D parametric vector plot question

[member 428835]

Hi PF!

Given a vector field $\vec f$ in spherical coordinates as a function of a single parameter $s$, shown here as

$$\vec f(s) = f_r(s) \hat r + f_\theta(s) \hat \theta + f_\phi(s) \hat\phi$$

where here subscripts do not denote partial derivatives, but instead are used to define components of $f$, does anyone know the easiest way to plot this vector field?

I googled it but I didn't find anything too helpful (maybe I'm a bad googler).

Edit: I would also be happy with a 2-D image too, say the x-z or y-z plane.

 

[Ssnow]

Hi, in mathematica there is a command: ParametricPlot3D that you can use in order to plot the vector field with $s$ as parameter, the precise notation is

ParametricPlot3D[{$f_{x},f_{y},f_{z}$},{$s,s_{min},s_{max}$}]

where $f_{x}(s),f_{y}(s),f_{z}(s)$ are the three components depending by $s$ in the range $[s_{min},s_{max}]$.

Details are in this documentation: http://reference.wolfram.com/language/ref/ParametricPlot3D.html

Ssnow

 

[member 428835]

Hi, in mathematica there is a command: ParametricPlot3D that you can use in order to plot the vector field with $s$ as parameter, the precise notation is

ParametricPlot3D[{$f_{x},f_{y},f_{z}$},{$s,s_{min},s_{max}$}]

where $f_{x}(s),f_{y}(s),f_{z}(s)$ are the three components depending by $s$ in the range $[s_{min},s_{max}]$.

Details are in this documentation: http://reference.wolfram.com/language/ref/ParametricPlot3D.html

Ssnow

Thanks! No clue how I missed this!