Magnetic Force on Current-Carrying Wire Video Lessons

Concept

# Problem: Two long parallel wires are separated by a distance of 2.30 cm. The force per unit length that each wire exerts on the other is 4.90x10-5 N/m, and the wires repel each other. The current in one wire is 0.580 A.Part A. What is the current in the second wire?Part B. Are the two currents in the same direction or in opposite directions?a. in the same directionb. in the opposite direction

###### FREE Expert Solution

In terms of current, the force per unit length is expressed as:

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

Part A

From the boxed equation, we can solve for i2 as:

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###### Problem Details

Two long parallel wires are separated by a distance of 2.30 cm. The force per unit length that each wire exerts on the other is 4.90x10-5 N/m, and the wires repel each other. The current in one wire is 0.580 A.

Part A. What is the current in the second wire?
Part B. Are the two currents in the same direction or in opposite directions?
a. in the same direction
b. in the opposite direction