Magnetic field due to electric wire

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Homework Help Overview

The discussion revolves around the magnetic field generated by two parallel electric wires and the interaction of their magnetic fields at a specific point, referred to as point P. Participants are exploring the principles of magnetism and vector addition in this context.

Discussion Character

  • Conceptual clarification, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to understand why the magnetic fields from the two wires do not cancel each other out, despite both being directed out of the paper. Questions are raised about the direction of the magnetic fields and the conditions under which cancellation occurs.

Discussion Status

There is an ongoing exploration of the concepts involved, with some participants providing insights about the direction of the magnetic fields and the conditions necessary for cancellation. Multiple interpretations of the situation are being discussed, particularly regarding the application of the right-hand rule and vector addition.

Contextual Notes

Some participants are referencing a visual representation that may not accurately reflect the problem setup, leading to confusion about the direction of the currents and their corresponding magnetic fields. There is also mention of external distractions affecting engagement with supplementary materials.

Silver2007
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Homework Statement
Find the magnetic field at point P.
Relevant Equations
B_P = 2B(R, pi/4)
46BD92F9-AEC0-43C2-A192-838CD6CB693A.jpeg


In my opinion, the magnetic field at point P should cancel each other, because the magnetic field caused by the two wires has the same direction, like this.

FD3D7469-842A-4ABD-8997-BE12F1FEB3FA.png


but the solution does not assume that the magnetic fields cancel each other out. I don't know where I'm wrong, please help me, thanks.
 
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Hello @Silver2007 ,
:welcome:

In your 'like this' picture the currents in the wires are parallel. But in your exercise they are not -- check for each of the two wires whether the B field points into or out of the paper

[edit] and your video continues with the case where one of the currents is in opposite direction. But I'm getting swamped with commercials, so I'm not going to look at it in deetail

##\ ##
 
BvU said:
Hello @Silver2007 ,
:welcome:

In your 'like this' picture the currents in the wires are parallel. But in your exercise they are not -- check for each of the two wires whether the B field points into or out of the paper

[edit] and your video continues with the case where one of the currents is in opposite direction. But I'm getting swamped with commercials, so I'm not going to look at it in deetail

##\ ##
I used the right hand rule and found that each wire's magnetic field points out of the paper. Thus, the superposition of magnetic fields at point P will have to cancel each other.
 
Silver2007 said:
I used the right hand rule and found that each wire's magnetic field points out of the paper. Thus, the superposition of magnetic fields at point P will have to cancel each other.
The magnetic field points out of the paper for each wire. That's correct. But no, they do not cancel.
 
SammyS said:
The magnetic field points out of the paper for each wire. That's correct. But no, they do not cancel.
Why don't they cancel each other out? Can you explain in more detail? Thanks.
 
Do you know how to add two vectors?
 
Silver2007 said:
Why don't they cancel each other out? Can you explain in more detail? Thanks.
If both vectors point out of the paper, then it is impossible for them to cancel. For there to be a cancellation one would have to point out of and the other into the paper.
 
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