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Force per unit length acting on four parallel wires

  • #1
1
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Homework Statement


An arrangement of four wires, in cross section, with θ=30° and u=5cm. Wire 2 and wire 4 carry the same magnitude of current (I2=I4=10mA) directed out of the page. Wire 3 carries current I3=25mA directed into the page.

If the resultant force per unit length on wire 1 is zero due to the other three wires, determine s, the distance between the origin and wire 3. Write your final answer in centimeters.
image.jpg

Homework Equations


F/L = (μoIaIb)/2πd

The Attempt at a Solution



I try to equate F2/L + F3/L + F4/L =0
but now whats makes me confusing is I don't have the value of I1, so how should I continue it?
 

Answers and Replies

  • #2
gneill
Mentor
20,781
2,759
Look at the magnetic fields rather than the forces. The force on any current in wire 1 is due to the external magnetic field at its location.
 

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