Find the magnetic field at the origin

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SUMMARY

The discussion centers on calculating the magnetic field at the origin due to three currents using the equation B = μ0 * I / (2π * r). The participants correctly compute the magnetic field contributions from each current, identifying the components for I1, I2, and I3. The final magnetic field components are determined to be Bx = -2.48 x 10^-5 T in the i direction and By = -4.66 x 10^-5 T in the j direction. Participants emphasize the importance of correctly applying the right-hand rule and maintaining proper signs for vector components.

PREREQUISITES
  • Understanding of magnetic fields and the right-hand rule
  • Familiarity with the equation B = μ0 * I / (2π * r)
  • Knowledge of vector components and their signs
  • Ability to perform calculations involving trigonometric functions for angles
NEXT STEPS
  • Review the application of the right-hand rule in magnetic field calculations
  • Practice vector addition of magnetic field components
  • Explore the impact of varying current and distance on magnetic field strength
  • Learn to sketch magnetic field vectors for complex configurations
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone involved in electrical engineering or related fields seeking to deepen their understanding of magnetic fields and vector analysis.

  • #31
Closer, but no cigar (yet).
 
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  • #32
actually the -4.66x10^-5 is negative not positive i just edited it like 2 sec b4 ur reply i hope this was the mistake
 
  • #33
gkamal said:
actually the -4.66x10^-5 is negative not positive i just edited it like 2 sec b4 ur reply i hope this was the mistake
Yes, that was the mistake. So, your final answer is?
 
  • #34
-2.48x10^-5 T in the i direction and -4.66x10^-5 in the j direction
 
  • #35
I think that's it. Be sure to include units and whatever else is required.
 
  • #36
Yes it is right but just to make sure the B of I3 becomes positive because it's value is negative and it is point in the -x , thus it would be point in the +x with a positive value since 2 negatives cancel right?

btw thank you so much for your help
 
  • #37
gkamal said:
Yes it is right but just to make sure the B of I3 becomes positive because it's value is negative and it is point in the -x , thus it would be point in the +x with a positive value since 2 negatives cancel right?
That's not how I think about it. The field ##\vec{B}_3## produced by ##I_3## is a vector. So, I would not refer to it as being positive or negative. It has a magnitude that is positive. (All vectors have positive magnitude, by definition.) However, when I draw the direction of ##\vec{B}_3## in a sketch using the right hand rule for magnetic fields, I can see that it points to the right. So, the x-component is positive. [Edited]

btw thank you so much for your help
You are welcome. Glad I could be of some help.
 
Last edited:

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