Canceling Magnetic Field between two wires using an external force

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SUMMARY

The discussion centers on calculating the external magnetic field required to cancel the magnetic field between two parallel wires carrying equal currents of 20 A in opposite directions, separated by 0.019 m. The relevant equation used is B = (μ₀ * I) / (2 * π * r), where μ₀ is the permeability of free space (4π × 10-7 T·m/A). The initial calculation yielded an incorrect result of 0.084 Tesla, prompting further inquiry into the correct approach without a specified wire radius.

PREREQUISITES
  • Understanding of Ampère's Law and magnetic fields generated by current-carrying wires
  • Familiarity with the concept of permeability of free space
  • Basic knowledge of vector addition of magnetic fields
  • Ability to manipulate equations involving π and exponential notation
NEXT STEPS
  • Calculate the external magnetic field required to achieve cancellation using B = (μ₀ * I) / (2 * π * r)
  • Explore the effects of wire radius on magnetic field calculations
  • Investigate the principles of superposition in magnetic fields
  • Review practical applications of magnetic field cancellation in electrical engineering
USEFUL FOR

Physics students, electrical engineers, and anyone studying electromagnetic theory or working with current-carrying conductors.

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Homework Statement


Suppose that I1 = I2 = 20 A; currents are running opposite each other, and that the separation between the wires is 0.019 m. By applying an external magnetic field (created by a source other than the wires) it is possible to cancel the magnetic field at the position of each of the wires. This external field must point along the vertical direction. What is the magnitude of the external field?


Homework Equations


B= [(permeability of free space) times (current)]/ [(2 (pie) r)]
F(from wire 1 to 2)= I2 [(permeability of free space)I1]/[2 pie r] times L
Permeability of free space is 4 pie times 10-7 Ttimes m/A


The Attempt at a Solution

Working through this a plugged in current and separation between wires into the equation to find B. I got .084 Telsa. I found out this was the wrong answer and thought doubling it would get me the right answer, but it didn't. I wasn't given a radius for the wire so I don't know what to do. Can anyone help me?
 
Last edited:
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From what you wrote, I have no idea what the question is.

Please write out the problem statement exactly as it was given to you.
 
I have added the question by editing my initial information. If anyone can help me it would be greatly appreciated.
 

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