- #1

sittingOnTheFloor

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## 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