Magnetic Fields and Current Loops

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SUMMARY

The discussion focuses on calculating the net force acting on a long, straight wire carrying a current of 14 A, adjacent to a square loop with a current of 2.5 A. The magnetic field generated by the wire is determined using the formula for a long, straight wire: B = (μ₀ * I) / (2π * r). The interaction between the wire and the loop results in an attractive force on the upper conductor of the loop and a repulsive force on the lower limb due to the opposing current direction. The net force is the sum of these two forces.

PREREQUISITES
  • Understanding of magnetic fields generated by current-carrying conductors
  • Familiarity with the Biot-Savart Law and Ampère's Law
  • Knowledge of the permeability of free space (μ₀)
  • Ability to apply the formula for force on a current-carrying conductor in a magnetic field
NEXT STEPS
  • Calculate the magnetic field at distances of 0.2 m and 1.2 m from the wire using B = (μ₀ * I) / (2π * r)
  • Learn about the Lorentz force law and its application to current loops
  • Explore the concept of magnetic field lines and their interaction with current-carrying conductors
  • Investigate the effects of varying current directions on the forces between conductors
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the interactions between magnetic fields and current-carrying conductors.

Brit412
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Homework Statement


A long, straight wire carries a current of 14 A. Next to the wire is a square loop with sides 1.0m in length. The loop carries a current of 2.5A in the same direction as the wire. Calculate the net force acting on the wire.


Homework Equations



Walker.22.60.jpg


Magnetic Field for long, straight wire: permeability of free space*I/ 2pi*radius


The Attempt at a Solution


I know that the net force is the two forces from the wire and the loop, but I don't understand how to calculate the 2 different magnetic fields.
 
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Find the magnetic field due to long , straight at a distance 0.2 m and 1.2 m.
In square loop, upper conductor carries a current parallel to the long wire. So the attract each other. Current in lower limb in anti parallel. So it will experience a repulsive force.
Find out the formula for the force on a current carrying conductor in a magnetic field.
 

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