Net magnetic field due to two wires

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SUMMARY

The net magnetic field at a point midway between two parallel wires carrying currents of 5.58 A in opposite directions can be calculated using the formula B = (μ₀ * I) / (2 * π * r). Given the separation distance of 8.43 cm, the radius r for the midpoint is 0.04215 m. The calculated magnetic field of 5.286E-5 T was deemed incorrect, indicating a need for careful consideration of the direction of the magnetic fields produced by each wire and their resultant effect at the midpoint.

PREREQUISITES
  • Understanding of Ampère's Law
  • Familiarity with magnetic field calculations
  • Knowledge of the Biot-Savart Law
  • Basic proficiency in physics and vector addition
NEXT STEPS
  • Review the application of Ampère's Law in calculating magnetic fields
  • Study the Biot-Savart Law for magnetic field contributions from current-carrying wires
  • Learn about vector addition of magnetic fields from multiple sources
  • Explore the effects of current direction on magnetic field orientation
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Physics students, educators, and professionals involved in electromagnetism, particularly those studying magnetic fields generated by current-carrying conductors.

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Homework Statement


The two wires shown in the figure carry currents of I = 5.58 A in opposite directions and are separated by a distance of d0 = 8.43 cm.
Calculate the net magnetic field at a point midway between the wires. Use the direction out of the page as the positive direction and into the page as the negative direction in your answer.

http://tinypic.com/r/258ufyq/8

Homework Equations


2*u0*i / 2*pi*r

The Attempt at a Solution


2(4piE-7)(5.58) / 2(pi)(.04215) = 5.286E-5 THw system says it's incorrect, I don't know where to go from here :(
 
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Step 1 is to draw a diagram, and mark on it relevant information. Identify the point of interest.
Step 2 is to decide whether the fields will [tend to] add or cancel at the point of interest. (Should they exactly cancel then there is no further calculation to be done!)
Step 3 is to finish working it out. How will you approach this?
 

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