Finding magnitude of external field from two magnetic fields

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SUMMARY

The discussion focuses on calculating the magnitude of an external magnetic field required to cancel the magnetic fields produced by two parallel wires carrying equal currents of 20 amps in opposite directions. The relevant equations include the magnetic field formula B = (4π x 10^-7)(I) / (2πr) and the force equation F(magnetic) = (Current)(Length)(Magnetic field). The calculated magnetic field for one wire is 0.000210526 T, which is essential for determining the external field needed for cancellation.

PREREQUISITES
  • Understanding of magnetic fields and forces
  • Familiarity with Ampère's Law
  • Knowledge of the Biot-Savart Law
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the application of Ampère's Law in parallel wire configurations
  • Learn about the superposition principle in magnetic fields
  • Explore the effects of varying current on magnetic field strength
  • Investigate practical applications of magnetic field cancellation in engineering
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Physics students, electrical engineers, and anyone interested in electromagnetic theory and applications in circuit design.

rosstheboss23
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Homework Statement


I was wondering how would you determine the magnitude an external field needed to cancel two magnetic fields in two wires? In this instance the currents of the two wires are in opposite directions...so I know there is a repulsion force.
The currents in both wires are equal to 20 amps apiece
The wires are parallel to each other and are 0.019meters apart.


Homework Equations


Going about this problem I thought this would be useful F(magnetic)= (Current)(Length)(Magnetic field)
Also I thought this would be useful B= (4piE-7)(I) divided by (2pie X r)


The Attempt at a Solution


When I tried to plug in the values for B I got 0.000210526 for the magnetic field in one wire. If I double this I get 0.000421053 for the total force of repulsion. Would this be the correct way of approaching the problem.
 
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No, just go with the 0.00021. That's the magnetic field due to one wire, at the location of the other wire.
 
Thank you. I really appreciate your help.
 

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