Magentic Fields and Force Exerted

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The discussion centers on understanding why the force exerted by a magnetic field on a current-carrying wire is zero in a specific scenario. The equation F = BIL sin(x) is applied, revealing that the net flow of current is zero due to equal and opposite currents in the wire segments. Each segment experiences equal forces in opposite directions, resulting in a net force of zero. The participants clarify that the sine values for the angles involved confirm this cancellation of forces. Ultimately, the conclusion is that the resultant force is zero due to the symmetry of the current directions.
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Homework Statement


Ocw6PFW.png

2. Homework Equations [/B]
F = BIL sin(x)

The Attempt at a Solution



This isn't homework its a practice question so I have looked at the answer and its 0N however I do not understand why it is 0N. I have tried resolving the magnetic flux density so its perpendicular to the flux and I get my answer to be "B".

Thanks.
 

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At any cm section of the wire pair what is the net flow of current? Or you could take each part of the pair separately and note the directions of the forces and strength and note the resultant.
 
So the net flow of current is 0A as shown by the diagram there are two arrows in the opposite direction of magnitude 5.0A?
 
That is what the author intended you to note. What about the force on each segment ( incoming and outgoing)?
 
Through the equation F = BIL sin(x) since the current is the same on each side, the force incoming is the same as the force outgoing hence the resultant force will be zero?
 
Yes and you should also say they are in opposite directions . sin(30°) = - sin(150°)
 
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