- #1
greswd
- 764
- 20
Let's say we have a vector field that looks similar to this. Assume that the above image is of the x-y plane.
The vector arrows circulate a central axis, you can think of them as tangents to circles.
The field does not depend on the height z.
The lengths of the arrows is a function of their radial distance from the center/axis, f(r).How do we write this vector field in terms of Cylindrical coordinates?
##A_\rho \hat{\boldsymbol \rho} + A_\varphi \hat{\boldsymbol \varphi} + A_z \hat{\mathbf z}##
How does one find ##A_\rho , A_\varphi## and ##A_z ## ?