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).

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Magnetic Field Produced by Straight Currents concept. You can view video lessons to learn Magnetic Field Produced by Straight Currents. Or if you need more Magnetic Field Produced by Straight Currents practice, you can also practice Magnetic Field Produced by Straight Currents practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Troha's class at SHU.