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

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SUMMARY

The discussion centers on calculating the force per unit length between two parallel wires carrying a current of 24 A each, positioned at y = -8 cm and y = 8 cm. The correct formula used is F/L = μ₀ * I₁ * I₂ / (2 * π * d), where μ₀ is the permeability of free space (4 π × 10⁻⁷ T·m/A) and d is the distance between the wires. The distance between the wires is 16 cm, leading to a correct calculation of F/L = 1440 μN/m when the values are properly substituted.

PREREQUISITES
  • Understanding of electromagnetic forces between parallel currents
  • Familiarity with the formula for force per unit length between two parallel wires
  • Knowledge of the permeability of free space (μ₀)
  • Basic algebra for manipulating equations and units
NEXT STEPS
  • Review the derivation of the force per unit length formula for parallel wires
  • Explore the effects of varying current magnitudes on the force between wires
  • Learn about the applications of Ampère's Law in electromagnetic theory
  • Investigate the implications of wire separation on magnetic interactions
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Physics students, electrical engineers, and anyone studying electromagnetic theory or working with current-carrying conductors.

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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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