- #1
sittingOnTheFloor
- 9
- 0
Homework Statement
I have been given a changing magnetic field in cylindrical coordinates. The equation is:
\begin{equation}
B(r,\phi,z) = - \frac {B_1} {2} r \hat{r} + (B_0 + B_1z)\hat{z}
\end{equation}
I need to be able to find the magnetic field as a function of x, y, and z.
Homework Equations
From wikipedia,
The Attempt at a Solution
I am really feeling kinda dumb here I can convert cylindrical coordinates to cartesian just fine I just don't know how to do it with a vector field. I am really struggling with how to turn the rhat term into x and y hats. I know that the theta term is zero so the field doesn't depend on theta, and the z term is easy cause its just z. I know that jacobians are sometimes useful when dealing with changing coordinate systems but i don't know how to use them