How Does Current Direction Affect Magnetic Field Between Parallel Wires?

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SUMMARY

The discussion focuses on calculating the resultant magnetic field at point P due to two parallel conductors carrying equal currents of I1 = 3.00 A and I2 = 3.00 A directed into the page. Using the formula B = μI/(2πr), the magnetic fields generated by each conductor at point P were computed as B(I1) = 1.2 x 10^-5 T and B(I2) = 5 x 10^-6 T. The resultant magnetic field is determined to be 13.0 µT directed toward the bottom of the page, with the right-hand rule applied to ascertain the direction of the magnetic fields from each conductor.

PREREQUISITES
  • Understanding of Ampère's Law and magnetic fields generated by current-carrying conductors.
  • Familiarity with the right-hand rule for determining magnetic field direction.
  • Basic knowledge of magnetic permeability, specifically μ = 1.26 x 10^-6 T*m/A.
  • Ability to perform calculations involving the formula B = μI/(2πr).
NEXT STEPS
  • Study the application of Ampère's Law in different configurations of current-carrying conductors.
  • Learn about the superposition principle in magnetic fields.
  • Explore the effects of varying current magnitudes on the resultant magnetic field.
  • Investigate the implications of magnetic field direction in practical applications, such as electric motors.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in electromagnetism, particularly those studying the behavior of magnetic fields around parallel conductors.

cy19861126
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Homework Statement


Two long parallel conductors carry currents I1 = 3.00A and I2 = 3.00 A, both directed into the page as shown below. Determine the magnitude and direction of the resultant magnetic field at P.

Homework Equations


B = uI/(2*3.14*r)
u = 1.26*10^-6 T*m/A

The Attempt at a Solution


B(I1) = 1.26*10^-6 * 3.00/(2*3.14*0.05) = 1.2*10^-5T
B(I2) = 1.26*10^-6 * 3.00/(2*3.14*0.12) = 5*10^-6T
Now I am having trouble figuring out which direction it is going. Any help would be good. Thanks! I am familiar with the right hand rule, where if you point the thumb to where the current is going and curl the finger, the finger points toward the direction of the magnetic field. The answer for this question is 13.0uT toward the bottom of the page
 

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So, how about the field from I1, do you know which way it points at P?
 

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