**Part A**

Magnetic field:

$\overline{){\mathbf{B}}{\mathbf{=}}\frac{{\mathbf{\mu}}_{\mathbf{0}}\mathbf{qvs}\mathbf{i}\mathbf{n}\mathbf{\theta}}{\mathbf{4}\mathbf{\pi}{\mathbf{r}}^{\mathbf{2}}}}$

From Pythagoras theorem, the separation between the electron and the proton is given by:

$\begin{array}{rcl}\mathbf{r}& \mathbf{=}& \sqrt{{{\mathbf{r}}_{\mathbf{e}}}^{\mathbf{2}}\mathbf{+}{{\mathbf{r}}_{\mathbf{p}}}^{\mathbf{2}}}\\ & \mathbf{=}& \sqrt{{\mathbf{(}\mathbf{5}\mathbf{.}\mathbf{00}\mathbf{\times}\mathbf{10}\mathbf{-}\mathbf{9}\mathbf{)}}^{\mathbf{2}}\mathbf{+}{\mathbf{(}\mathbf{4}\mathbf{.}\mathbf{00}\mathbf{\times}\mathbf{10}\mathbf{-}\mathbf{9}\mathbf{)}}^{\mathbf{2}}}\end{array}$

An electron and a proton are each moving at 795 km/s in perpendicular paths as shown in (Figure 1) .

**Part A**

Find the magnitude of the magnetic field the electron produces at the location of the proton.

**Part B**

Find the direction of the magnetic field the electron produces at the location of the proton.

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