Determine the magnitude of the net force on the loop.

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SUMMARY

The net force on a rectangular loop wire placed next to a straight wire carrying a current of 3.5 A is calculated using the formula F = ((μ₀ * I₁ * I₂) / (2 * π * r)) * L. The correct magnitude of the net force is determined to be 5.1 x 10^-6 N. The discussion highlights the importance of understanding the direction of the forces acting on the loop, which is essential for accurate calculations in electromagnetic scenarios.

PREREQUISITES
  • Understanding of Ampère's Law
  • Familiarity with magnetic fields generated by current-carrying wires
  • Knowledge of the Biot-Savart Law
  • Basic proficiency in vector addition of forces
NEXT STEPS
  • Study the application of Ampère's Law in different geometries
  • Learn about the Biot-Savart Law and its implications for magnetic fields
  • Explore the concept of magnetic force on current-carrying conductors
  • Investigate the effects of varying current on the net force in electromagnetic systems
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Students studying electromagnetism, physics educators, and anyone involved in electrical engineering or related fields seeking to understand the interactions between current-carrying wires and magnetic fields.

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Homework Statement


A rectangular loop wire is placed next to a straight wire, as shown in the figure. There is a current of 3.5 A in both wire.

Figure: http://www.flickr.com/photos/65980314@N06/6020832477/


Homework Equations


F = ((mu(0)*I1*I2) / (2*pi*r)) * L
force in terms of current

The Attempt at a Solution



I broke it down to two forces F1 and F2 and then added them but I'm not getting the correct answer.
 
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IHave said:
I broke it down to two forces F1 and F2 and then added them but I'm not getting the correct answer.
In what direction does each force act?
 
oh okay, i guess I am still having trouble with determining the direction of the different fields. i was able to figure it out.

answer: F = 5.1x10^-6 N
 

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