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} = 0

Φ_{2} = θ_{end}

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

Now find B_{2}, the magnetic field generated by this wire at a point P located a distance x from either end of the wire. Assume that at P the angle subtended from the end of the wire to the other end is θ_{end }as shown in the diagram.

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 Montalvo's class at RUTGERS.