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

AI Thread Summary
The problem involves calculating the force per unit length between two parallel wires carrying equal currents in opposite directions. The correct formula for this calculation is F/L = (μ₀ * I₁ * I₂) / (2 * π * d), where d is the distance between the wires. The distance between the wires is 16 cm, derived from the positions at y = -8 cm and y = 8 cm. The initial calculation was incorrect due to confusion about the distance; using the correct distance yields the right answer. The final result should be expressed in microNewtons per meter (μN/m).
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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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