Find the magnitude of force per unit length exerted by one wire on the other

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Homework Help Overview

The problem involves two parallel wires carrying currents in the negative x direction, positioned at y = -8 cm and y = 8 cm. Participants are tasked with finding the force per unit length exerted by one wire on the other, using the provided formula and constants.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the formula for force per unit length but questions their calculation. Other participants inquire about the distance between the wires and suggest considering the absolute values of their positions.

Discussion Status

Participants are actively discussing the setup of the problem, particularly the distance between the wires. Some have provided guidance on interpreting the positions of the wires, and there is acknowledgment of differing approaches to the calculation.

Contextual Notes

There is a focus on the correct interpretation of the distance between the wires, with some participants expressing uncertainty about the calculations and assumptions made regarding the positions.

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Homework Statement



Two long straight wires in the xy plane are
parallel to the x axis. One wire is at y =
−8 cm and the other wire is at y = 8 cm. The
current in each wire is 24 A and the currents
are in the negative x direction.
The permeability of free space is 4 π ×
10−7 T · m/A.

Find the magnitude of the force per unit
length exerted by one wire on the other. An-
swer in units of μN/m.

Homework Equations



F/L= Uo*ia*ib/(2*pi*d)

The Attempt at a Solution



what i did is that i assumed that one of the wires is at point zero , so i used the equation aboove plugging in these values
F/L= (4*pi*10^-7*24*24)/(2*pi*.08) = i got 1440
which is wrong !

is there what I am doing wrong or is it just a calculation mistake

need your help !
 
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What's the distance between the two wires?
 
if i add both the (-8+ 8) i will get zero .. unless i take the magnitude of the of the first so that i get 16

im really not sure =S
 
i used the 16 and i got it right .. therefore thanks for your help DOC AL
 
One wire is at -8, the other is at +8. How far apart are they?
 

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