In this problem, we're going to use Ampere's law, which is expressed as:

$\overline{){{\mathbf{\mu}}}_{{\mathbf{0}}}{\mathbf{i}}{\mathbf{=}}{\mathbf{B}}{\mathbf{L}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\theta}}}$, where **μ**_{0} is the permeability of free space, **i **is current, **B** is the magnetic field, **L** is the length of the segment, and **θ** is the angle between L and B.

From the figure in the problem, we see that the angle between the magnetic field and length with respect to the upper and lower segments is 35°.

The angle of the magnetic field with respect to the side is 90°.

The figure below shows a measured pattern of magnetic field in space.

How much current I passes through the shaded area? (Assume B_{1} = 7.00x10^{-5} T and B_{2} = 8.80x10^{-4} T.)

In what direction?

a. out of the page

b. into the page

c. downward

d. upward

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 Ampere's Law concept. If you need more Ampere's Law practice, you can also practice Ampere's Law practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Lopes' class at UNT.