Calculating Repulsive Force Between Parallel Wires

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SUMMARY

The discussion focuses on calculating the repulsive force between parallel wires carrying opposite currents using the formula F = μ₀(I²L)/(2πr). The equilibrium condition at an angle of 6.00 degrees is analyzed, where the distance r is determined as sin(6.00 degrees) multiplied by 0.0400 m and then doubled. Participants emphasize the importance of resolving forces into their x and y components to solve the problem effectively.

PREREQUISITES
  • Understanding of electromagnetic force equations, specifically F = μ₀(I²L)/(2πr).
  • Knowledge of trigonometric functions, particularly sine for angle calculations.
  • Familiarity with force equilibrium concepts in physics.
  • Basic geometry skills for resolving forces into components.
NEXT STEPS
  • Study the derivation and applications of the formula for electromagnetic force between parallel wires.
  • Learn how to resolve forces into components using vector analysis.
  • Explore the implications of current direction on the force between wires.
  • Investigate the effects of varying distances between parallel wires on the repulsive force.
USEFUL FOR

Physics students, electrical engineers, and educators looking to deepen their understanding of electromagnetic forces and equilibrium in parallel current-carrying conductors.

cdotter
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Homework Statement



[PLAIN]http://img813.imageshack.us/img813/6592/36756643.png

Homework Equations



F=\mu_0\frac{II'L}{2\pi r}

The Attempt at a Solution



The wires have a weight \lambda Lg. They require an equal but opposite force to keep them at equilibrium at 6.00 degrees. This force comes from the repulsion between the oppositely flowing currents in the wires, given by
F=\mu_0\frac{I^2L}{2\pi r}. The distance r between the two wires is sin(6.00 degrees)*0.0400 m*2.

I'm stuck at the components of the forces. Could someone give me a hint? I'm terrible at geometry.
 
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hi cdotter! :smile:
cdotter said:
I'm stuck at the components of the forces. Could someone give me a hint? I'm terrible at geometry.

hint: call the tension in each string T,

and do components of forces in the y and x directions :wink:
 
tiny-tim said:
hi cdotter! :smile:


hint: call the tension in each string T,

and do components of forces in the y and x directions :wink:

Got it, thank you.
 

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