Forces between two hanging parallel wires

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SUMMARY

The discussion centers on calculating the current (I) in two hanging parallel wires influenced by their mutual magnetic force. The participant derived the equation for the vertical and horizontal forces acting on the second wire, ultimately calculating a current of 594A. The consensus confirms that for further calculations, the force can be determined using the equation F = ilB, without the sine component, as the current and magnetic field are perpendicular. Additionally, the magnetic field can be calculated using B = μo*I/(2*π*r), leveraging the known current in the other wire.

PREREQUISITES
  • Understanding of free body diagrams
  • Knowledge of magnetic forces between parallel wires
  • Familiarity with the Biot-Savart Law
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the derivation of the force between parallel wires carrying current
  • Learn about the Biot-Savart Law and its applications
  • Explore the concept of magnetic fields generated by current-carrying conductors
  • Investigate the significance of significant figures in physics calculations
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Physics students, electrical engineering students, and educators focusing on electromagnetism and forces in current-carrying conductors.

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Homework Statement



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Homework Equations



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The Attempt at a Solution



Is this the correct equation to find the current (I)? I setup a free body diagram for bar 2,

TCos(24)-(.036kg)(9.8m/s^2)=0 (for y)
-TSin(24)+ (Eqtn for force between two parallel wires but with the current squared) (for x)

Then I solved for I, which I got 594A. Once I get I, do I use F=ilBsin(24) for part C? Or do I use the equation for force between two wires but with only I (not I^2)?
 
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Your 594 A looks good. I got 596 but wasn't very careful with significant digits. You could use F=ilB but I don't think you want a sin(24) in it. The current and the magnetic field are perpendicular to each other. Or you could use B = μo*I/(2*π*r) since you know the I is the same in the other wire.
 

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