Direction of magnetic field problem (Right Hand Rule)

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SUMMARY

The discussion centers on determining the direction of the magnetic field (B) using the Right Hand Rule in the context of two currents, I1 and I2. The magnetic field expression for the region R > F is given as (μ/2πR)(I2 - I1). To apply the Right Hand Rule correctly, the thumb should point in the direction of I1. The resultant direction of the magnetic field depends on the relative magnitudes of I1 and I2; if I2 is greater than I1, the direction of B will follow the chosen orientation, otherwise, it will reverse. Without specific values for the currents, the direction cannot be definitively determined.

PREREQUISITES
  • Understanding of magnetic fields and the Right Hand Rule
  • Familiarity with current flow in electrical circuits
  • Knowledge of the Biot-Savart Law for magnetic field calculations
  • Basic algebra for manipulating equations involving currents
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  • Study the Biot-Savart Law for calculating magnetic fields from current distributions
  • Learn about the superposition principle in electromagnetism
  • Explore the effects of varying current magnitudes on magnetic field direction
  • Investigate practical applications of the Right Hand Rule in circuit design
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Students of physics, electrical engineers, and anyone studying electromagnetism who needs to understand the behavior of magnetic fields in the presence of multiple currents.

Tomi Kolawole
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Homework Statement


media%2F1da%2F1da9e30f-97fb-4afe-95f0-187c5571206a%2FphpK1ophx.png


Homework Equations

The Attempt at a Solution


I have already solved for the magnetic fields everywhere AND THE magnetic field at R>F = (U/2*PI*R)*(I2-I1)

My only problem is i know i use the right hand rule to determine the direction of the magnetic field B as clockwise or counter clockwise, however there are 2 currents i2 and i1 so which current do i put my thumb to determine the direction of B at R>F?
 

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Tomi Kolawole said:
I have already solved for the magnetic fields everywhere AND THE magnetic field at R>F = (U/2*PI*R)*(I2-I1)
This is incorrect. Your expression in the region R > F is missing a denominator. Anyway, since your expression has (i2-i1), put your thumb in the direction of i1 and do the right hand rule thing. Ultimately, the direction the B-field will depend on which of the two currents is greater than the other. If your are given that i2 > i1, then the direction will be as you have chosen, else it will be the opposite direction.
 
They didnt say which is greater than the other in the question stated above, so how can i know?
 
You can't possibly know unless you have numbers or at least someone tells you which current is greater than the other.
 

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