HW 7 Handout AS USUAL, BE SURE THAT YOUR SOLUTION IS CLEAR AND EASY TO FOLLOW! BE SURE TO SHOW ALL STEPS. 1) Consider a long, current-carrying wire placed on the x-axis, and another long, current- carrying wire lined up 0.21 m above the xy-plane (and so it runs parallel to the y-axis, at 0.21 m on the z-axis: A z 2= 3.1 A = 1.8 A And so the middle of the lower wire on the x-axis is at the origin, and the middle of the upper wire is at (0, 0, 0.21) m. Calculate the force/length that the center of the upper wire feels due to the lower wire

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# HW 7 Handout

### As usual, be sure that your solution is clear and easy to follow! Be sure to show all steps.

**1)** Consider a long, current-carrying wire placed on the x-axis, and another long, current-carrying wire lined up 0.21 m above the xy-plane (so it runs parallel to the y-axis), at 0.21 m on the z-axis:

Diagram:

- There are two wires depicted in a 3D coordinate system.
- The first wire lies along the x-axis with a current \( I_1 = 1.8 \, \text{A} \) directed along the negative x-axis.
- The second wire runs parallel to the y-axis at a point 0.21 m above the xy-plane on the z-axis, with a current \( I_2 = 3.1 \, \text{A} \) directed in the positive z-axis.

And so the middle of the lower wire on the x-axis is at the origin, and the middle of the upper wire is at (0, 0, 0.21) m.

Calculate the force/length that the center of the upper wire feels due to the lower wire.

**2)** Now let’s keep the 1.8 A current on the x-axis, but instead place the other wire’s center at (0, 0.34, 0) m. Now, what is the force/length that the 3.1 A wire feels?

Diagram:

- The first wire with current \( I_1 = 1.8 \, \text{A} \) is shown along the x-axis with direction indicated by an arrow.
- The second wire with current \( I_2 = 3.1 \, \text{A} \) is now placed parallel to the x-axis but displaced at a position (0, 0.34, 0) m from the origin. 

Be sure to show all calculations clearly in your solution.
Transcribed Image Text:# HW 7 Handout ### As usual, be sure that your solution is clear and easy to follow! Be sure to show all steps. **1)** Consider a long, current-carrying wire placed on the x-axis, and another long, current-carrying wire lined up 0.21 m above the xy-plane (so it runs parallel to the y-axis), at 0.21 m on the z-axis: Diagram: - There are two wires depicted in a 3D coordinate system. - The first wire lies along the x-axis with a current \( I_1 = 1.8 \, \text{A} \) directed along the negative x-axis. - The second wire runs parallel to the y-axis at a point 0.21 m above the xy-plane on the z-axis, with a current \( I_2 = 3.1 \, \text{A} \) directed in the positive z-axis. And so the middle of the lower wire on the x-axis is at the origin, and the middle of the upper wire is at (0, 0, 0.21) m. Calculate the force/length that the center of the upper wire feels due to the lower wire. **2)** Now let’s keep the 1.8 A current on the x-axis, but instead place the other wire’s center at (0, 0.34, 0) m. Now, what is the force/length that the 3.1 A wire feels? Diagram: - The first wire with current \( I_1 = 1.8 \, \text{A} \) is shown along the x-axis with direction indicated by an arrow. - The second wire with current \( I_2 = 3.1 \, \text{A} \) is now placed parallel to the x-axis but displaced at a position (0, 0.34, 0) m from the origin. Be sure to show all calculations clearly in your solution.
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