The magnetic field at point P due to a finite wire carrying current:

$\overline{){\mathbf{B}}{\mathbf{=}}\frac{{\mathbf{\mu}}_{\mathbf{0}}\mathbf{i}}{\mathbf{4}\mathbf{\pi}\mathbf{r}}{\mathbf{(}}{\mathbf{sin}}{\mathbf{}}{{\mathbf{\varphi}}}_{{\mathbf{1}}}{\mathbf{+}}{\mathbf{sin}}{{\mathbf{\varphi}}}_{{\mathbf{2}}}{\mathbf{)}}}$

In this problem:

Φ_{1} = θ_{m}

Φ_{2} = θ_{m}

A steady current I is flowing through a straight wire of finite length.

Part A

Find B1, the magnitude of the magnetic field generated by this wire at a point P located a distance x from the center of the wire. Assume that at P the angle subtended from the midpoint of the wire to each end is θm as shown in the diagram (Figure 1).

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