Separation distance between wires - Magnetic fields

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Homework Help Overview

The problem involves two long parallel wires carrying currents of 2.03 A and 8.83 A, with a specified force per unit length acting on each wire. The objective is to determine the separation distance between the wires, expressed in millimeters.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply a formula relating force, current, and distance but expresses uncertainty about the length variable. Some participants question the necessity of knowing the length in this context.

Discussion Status

Participants are exploring the implications of the formula and discussing the parameters involved. There is a suggestion that the length can be assumed to be 1, which one participant finds works for their calculations. However, another participant offers an alternative interpretation regarding the length, indicating that the discussion is still open to different understandings.

Contextual Notes

There is an emphasis on the given force per unit length, which may influence how participants approach the problem without needing to define the length explicitly.

SimonSays
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Homework Statement


http://i.imgur.com/mgIkS.png
Two long parallel wires carry currents of 2.03 A and 8.83 A. The magnitude of the force per unit length acting on each wire is 4.49*10^5 N/m. Find the separation distance of the wires expressed in millimeters.


Homework Equations


I'm not entirely sure.


The Attempt at a Solution


I thought that I would need to use the formula:
http://latex.codecogs.com/gif.latex?F_{21}=(\mu_0*I_1*I_2*L )/(2\pi d)
I don't have L however, so how do I solve for d?
 
Last edited by a moderator:
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Actually you have the right formula, just understand the parameters involved and relate to the given problem.

Hint: "The magnitude of the force per unit length acting on each wire is 4.49*10^5 N/m."
 
So are you suggesting that L=1?
Edit: I tried it with L=1 and it worked. Thanks!
 
Last edited:
We'll you can say that, but I can also say L=2 and my F = 2.245x105 N/m.

What I want you to understand is that you don't need to know L as you are readily given with F/L.
 

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