Find the magnetic field at the origin

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Homework Help Overview

The discussion revolves around calculating the magnetic field at the origin due to multiple current-carrying wires. The relevant equation for the magnetic field is provided, and participants are attempting to find the components of the magnetic field generated by each current.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are calculating the magnetic field components using the provided equation and the right-hand rule. There are attempts to verify the values of the components for specific currents and discussions about the correct interpretation of the distance and angles involved in the calculations.

Discussion Status

There is ongoing dialogue about the correctness of the calculations and the signs of the components. Some participants have suggested checking the values and methods used to derive the components, while others are exploring the implications of their results and the potential for numerical errors.

Contextual Notes

Participants express confusion over the signs of the magnetic field components and the method of calculating them. There is mention of homework constraints that may affect how the problem is approached, including the need for clarity in presenting calculations.

  • #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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