Magnetic Fields and Current Loops

AI Thread Summary
A long, straight wire carrying a current of 14 A creates a magnetic field that affects a nearby square loop with a current of 2.5 A. The magnetic field generated by the wire can be calculated using the formula involving the permeability of free space and the distance from the wire. The loop's upper conductor experiences an attractive force due to the parallel currents, while the lower limb, carrying current in the opposite direction, experiences a repulsive force. To find the net force on the wire, both magnetic fields and their respective forces on the loop need to be calculated. Understanding these interactions is crucial for solving the problem effectively.
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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



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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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