Magnetic field and magnetic force

AI Thread Summary
The discussion centers on calculating the magnetic flux density between two parallel wires carrying current in opposite directions. The book states the flux density at the midpoint is (2)(ε0)/(πr), prompting a request for clarification. One participant suggests the result should be halved due to the repulsive nature of the forces. However, it is noted that the direction of the force does not affect the calculation of magnetic flux density. Understanding the equation for flux density from a single wire is crucial for resolving the confusion.
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Homework Statement


PHYSICS MAGNETIC FIELD
two long parallel straight wire are separated by a distance r in vacuum. an electric current flow through each wire in opposite direction, the magnetic flux density at the centre between 2 wires is (2)(ε0)/(πr) (ANS FROM BOOK) ... can someone explain why?

my ans would be 0.5x2x(ε0)/(πr)... because the resultant between 2 wires is repulsive force...


Homework Equations





The Attempt at a Solution

 
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The force between the wires being repulsive or attractive is irrelevant.
Do you know the equation for the flux density at different distances due to a single long wire?
 

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