Calculating Magnetic Field Strength and Direction in a Two-Wire System

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SUMMARY

The discussion focuses on calculating the magnetic field strength and direction in a two-wire system, specifically at three points in a given diagram. The magnetic field strength at point 1 was calculated using the formula B = (μ₀ * I) / (2πr), resulting in 1 x 10⁻⁴ T, but the user expressed uncertainty about the correctness of this calculation. The magnetic field directions at points 1 and 2 were identified as out of the page and into the page, respectively. The user sought clarification on how to account for the contributions of both wires when determining the resultant magnetic field.

PREREQUISITES
  • Understanding of magnetic field calculations using the Biot-Savart Law
  • Familiarity with the permeability constant (μ₀) and its application
  • Knowledge of vector addition for magnetic fields
  • Basic principles of electromagnetism
NEXT STEPS
  • Review the Biot-Savart Law for calculating magnetic fields from multiple current-carrying wires
  • Study vector addition techniques specifically for magnetic fields
  • Explore the concept of superposition in electromagnetic fields
  • Practice problems involving magnetic field calculations in two-wire systems
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone involved in electrical engineering or related fields who need to understand magnetic field interactions in multi-wire systems.

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Homework Statement



I got 1/2 of this problem right, but I am not sure of the other part. I have attached the picture. The questions are as follows (with the answers that I am sure of) --

What is the magnetic field strength at point 1 in the figure?
What is the magnetic field direction at point 1 in the figure? (out of the page)
What is the magnetic field strength at point 2 in the figure?
What is the magnetic field direction at point 2 in the figure? (in to the page)
What is the magnetic field strength at point 3 in the figure?
What is the magnetic field direction at point 3 in the figure? (out of the page)

Homework Equations



B = permeability constant * I/ 2(pi)r


The Attempt at a Solution


Well, for the first one example, this is what I did.

(1.257*10e-6)*(10)/2(pi)(.02m) = 1*10e-4

This is not correct however? Can someone give me some instruction? And for the second and third ones, which wire am I calculating from?
 

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You calculated the field induced by one wires, but there are two wires in the diagram. You have to figure out what direction the field induced by each wire is and add or subtract accordingly.
 

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