- #1

starrymirth

- 4

- 0

## Homework Statement

A certain field is given in spherical coordinates by

[itex] \vec{B} = \frac{4 sin\varphi}{r^{2}} \hat{r} + [sin\theta + \frac{cos^{2}\theta}{sin\theta}] \hat{\theta} - 4r sin\theta \hat{\varphi} [/itex] --(1)

Show that this is a possible magnetic induction.

## Homework Equations

[itex]\nabla \cdot \vec{B} = 0[/itex] --(2)

## The Attempt at a Solution

My question is,

**Are there any other conditions that must be met for (1) to be physically possible?**

__if equation (2) holds with the given B, is that sufficient?__The thing that threw me here - is that it's out of 21 marks (~3marks per line/equation/fact, so 7 lines of working), and div B in spherical coordinates is a little tricky, but not that tricky. We're even given div for spherical coordinates on our formula sheet, so it made me think I might be missing something.

Thanks!

Laura