Magnetic Force Between Parallel Currents Video Lessons

Concept

# Problem: a. What is the magnitude of the net force on the first wire in (Figure 1)?b. What is the magnitude of the net force on the second wire in (Figure 1)?c. What is the magnitude of the net force on the third wire in (Figure 1)?

###### FREE Expert Solution

The magnitude of magnetic force between parallel current-carrying wires is:

$\overline{){\mathbf{F}}{\mathbf{=}}\frac{{\mathbf{\mu }}_{\mathbf{0}}{\mathbf{i}}_{\mathbf{1}}{\mathbf{i}}_{\mathbf{2}}\mathbf{l}}{\mathbf{2}\mathbf{\pi r}}}$

a.

F1 = F12 - F13

$\begin{array}{rcl}{\mathbf{F}}_{\mathbf{1}}& \mathbf{=}& \frac{{\mathbf{\mu }}_{\mathbf{0}}{\mathbf{i}}_{\mathbf{1}}{\mathbf{i}}_{\mathbf{2}}\mathbf{l}}{\mathbf{2}{\mathbf{\pi r}}_{\mathbf{1}}}\mathbf{-}\frac{{\mathbf{\mu }}_{\mathbf{0}}{\mathbf{i}}_{\mathbf{1}}{\mathbf{i}}_{\mathbf{3}}\mathbf{l}}{\mathbf{2}{\mathbf{\pi r}}_{\mathbf{2}}}\\ & \mathbf{=}& \frac{\mathbf{\left(}\mathbf{4}\mathbf{\pi }\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{7}}\mathbf{\right)}\mathbf{\left(}\mathbf{10}\mathbf{\right)}\mathbf{\left(}\mathbf{10}\mathbf{\right)}\mathbf{\left(}\mathbf{50}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{2}}\mathbf{\right)}}{\mathbf{2}\mathbf{\pi }\mathbf{\left(}\mathbf{2}\mathbf{.}\mathbf{0}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{2}}\mathbf{\right)}}\mathbf{-}\frac{\mathbf{\left(}\mathbf{4}\mathbf{\pi }\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{7}}\mathbf{\right)}\mathbf{\left(}\mathbf{10}\mathbf{\right)}\mathbf{\left(}\mathbf{10}\mathbf{\right)}\mathbf{\left(}\mathbf{50}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{2}}\mathbf{\right)}}{\mathbf{2}\mathbf{\pi }\mathbf{\left(}\mathbf{4}\mathbf{.}\mathbf{0}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{2}}\mathbf{\right)}}\end{array}$

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###### Problem Details

a. What is the magnitude of the net force on the first wire in (Figure 1)?

b. What is the magnitude of the net force on the second wire in (Figure 1)?

c. What is the magnitude of the net force on the third wire in (Figure 1)?

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 Force Between Parallel Currents concept. You can view video lessons to learn Magnetic Force Between Parallel Currents. Or if you need more Magnetic Force Between Parallel Currents practice, you can also practice Magnetic Force Between Parallel Currents practice problems.

What professor is this problem relevant for?

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