Magnetic field due to electric wire

  • #1
Silver2007
3
0
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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  • #2
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

##\ ##
 
  • #3
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.
 
  • #4
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.
 
  • #5
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.
 
  • #6
Do you know how to add two vectors?
 
  • #7
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.
 
  • Like
Likes SammyS

Related to Magnetic field due to electric wire

1. How does an electric wire create a magnetic field?

When current flows through a wire, it generates a magnetic field around the wire. This is due to the movement of charged particles (electrons) within the wire, creating a circular magnetic field perpendicular to the direction of the current.

2. What factors affect the strength of the magnetic field produced by an electric wire?

The strength of the magnetic field produced by an electric wire is directly proportional to the current flowing through the wire. Additionally, the distance from the wire also affects the strength of the magnetic field, with closer distances resulting in stronger magnetic fields.

3. How is the direction of the magnetic field around an electric wire determined?

The direction of the magnetic field around an electric wire is determined by the right-hand rule. If you wrap your right hand around the wire with your thumb pointing in the direction of the current flow, your fingers will curl in the direction of the magnetic field lines.

4. Can the magnetic field around an electric wire be controlled?

Yes, the strength and direction of the magnetic field around an electric wire can be controlled by changing the amount of current flowing through the wire. By adjusting the current, you can manipulate the magnetic field to suit specific applications.

5. What are the practical applications of the magnetic field produced by an electric wire?

The magnetic field produced by an electric wire is used in various applications, such as electromagnets, electric motors, and transformers. These devices rely on the interaction between magnetic fields and current to perform specific functions in everyday technology.

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