Magnetic field and magnetic force

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SUMMARY

The discussion centers on the calculation of magnetic flux density between two long parallel wires carrying electric currents in opposite directions. The correct formula for the magnetic flux density at the midpoint between the wires is established as (2)(ε0)/(πr). The user incorrectly attempts to derive the result as 0.5x2x(ε0)/(πr), misunderstanding the nature of the magnetic forces involved. The repulsive or attractive nature of the forces between the wires does not affect the calculation of the magnetic flux density.

PREREQUISITES
  • Understanding of magnetic fields and forces
  • Familiarity with the concept of magnetic flux density
  • Knowledge of the equations governing long straight current-carrying wires
  • Basic grasp of electromagnetism principles
NEXT STEPS
  • Study the derivation of the magnetic flux density formula for a single long straight wire
  • Learn about the superposition principle in magnetic fields
  • Explore the effects of current direction on magnetic force between parallel wires
  • Investigate applications of magnetic fields in practical scenarios, such as in electromagnets
USEFUL FOR

Students of physics, educators teaching electromagnetism, and anyone interested in the principles of magnetic fields and forces in electrical engineering.

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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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