- #1

Boltzman Oscillation

- 233

- 26

- Homework Statement:
- Find the magnetic field at a point due to a loop of wire.

- Relevant Equations:
- $$ db = \frac{\vec{I}\vec{dl} \times \vec{r}}{cr^3}$$

Hi all, my work is shown on the attached image. The boxed equation is what I get to but I do not understand how to go from there to what the book has. I am guessing that the problem arises when trying to solve the cross product. I understand that I will need to find the value of the sine of the angle between the arguments of the cross product but I do not see how I could do that, all I know is that the direction will be in the z axis. Any help is appreciated as always.