Magnetic repulsion between 2 wires?

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SUMMARY

The discussion centers on calculating the distance of separation between two parallel wires experiencing magnetic repulsion. The top wire, carrying a current of 30.0 A, is suspended above a second wire with a current of 90.0 A. The relevant equation used is F1 / L = mg / L = (4π x 10^-7) I2 / (2π x distance), which relates the magnetic force to the gravitational force acting on the top wire. Participants are encouraged to find the magnetic force per length and equate it to the gravitational force per mass to determine the required separation distance.

PREREQUISITES
  • Understanding of magnetic forces in parallel current-carrying wires
  • Familiarity with the equation for magnetic force per length
  • Basic knowledge of gravitational force and weight per unit length
  • Ability to manipulate algebraic equations for problem-solving
NEXT STEPS
  • Study the derivation of the magnetic force between parallel wires
  • Learn about the Biot-Savart Law and its applications
  • Explore the concept of magnetic fields generated by current-carrying conductors
  • Investigate the effects of varying current on magnetic repulsion
USEFUL FOR

Students in physics, electrical engineering majors, and anyone interested in electromagnetism and its applications in real-world scenarios.

taylor.simon
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Homework Statement



A wire with a weight per unit length of 0.040 N/m is suspended directly above a second wire. The top wire carries a current of 30.0 A and the bottom wire carries a current of 90.0 A. Find the distance of separation between the wires so that the top wire will be held in place by magnetic repulsion.

is this the right equation can can someone show me how to use it just leave the answer out please


Homework Equations



F1 / L = mg / L = (4pi x 10^-7) I2 / 2pi x distance )

The Attempt at a Solution

 
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hi taylor.simon! :smile:

(have a pi: π and try using the X2 icon just above the Reply box :wink:)

find the magnetic force per length, then the magnetic force per mass …

that has to equal the gravitational force per mass …

what do you get? :smile:
 

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