Calculate magnetic field intensity

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The discussion revolves around calculating the magnetic field intensity (H) at two points due to two infinitely long parallel filaments. The calculations involve using Ampere's law and considering the correct distances and directions of the currents. Participants emphasize the importance of correctly determining the distances (Ry and Rz) and the direction of the magnetic field vectors at the origin and the second point (-1,2,2). The conversation highlights the significance of understanding the right-hand rule for determining the direction of the magnetic field. Ultimately, the participants work towards confirming the correct approach to solve the problem while clarifying misunderstandings about the geometry involved.
  • #31
I guess I used RHR wrong the second time would it be +Z again or is it on the Y-axis? Is there an easier way for me to see this?
 
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  • #32
would it be in the direction of the Y-axis?
 
  • #33
DODGEVIPER13 said:
would it be in the direction of the Y-axis?

Possibly. Which direction, +y or -y?
 
  • #34
+y heh I am just guessing based on RHR
 
  • #35
Well I think I found and appropriate equation setup for the into the page part H=I/2(pi)rho=(5/(pi)(4))k
 
  • #36
H2=10/(2(pi)(4))j
 
  • #37
DODGEVIPER13 said:
H2=10/(2(pi)(4))j

Good. We have part (a) done.
 
  • #38
sweet then H=(10/2(pi)4)j+(10/2(pi)4)k right?
 
  • #39
DODGEVIPER13 said:
sweet then H=(10/2(pi)4)j+(10/2(pi)4)k right?

Right.
 
  • #40
so that would be an acceptable answer then accept that I must add units A/m or should I get the magnitude and angle and put in phasor form
 
  • #41
whoops forgot about part b heh well assuming that it is worked the same then ry=sqrt((-1,2,2)-(0,4,0))=3 and rz=sqrt((-1,2,2)-(0,0,4))=3 and H=H1+H2=(10/(2(pi)3))k+(10/(2(pi)3))j
 
  • #42
DODGEVIPER13 said:
so that would be an acceptable answer then accept that I must add units A/m or should I get the magnitude and angle and put in phasor form

I would leave it in terms of i and j.

For part (b) it's different.

The first question you should ask yourself: does it matter what the x compoent of the observation point is?
 
  • #43
for the first part no because it is 0 howeverI sense that it is different for part b
 
  • #44
well I drew this thing on paper if I did it right the one that is into the page is on the x axis
 
  • #45
I believe the other is on the y but I am not sure?
 
  • #46
Both wires run parallel to the x axis.

Think again about the observation point. Does it matter where on the x-axis it lies?
 
  • #47
it would lie on the negative side of the x-axis right?
 
  • #48
I guess it doesn't matter as the two wires both have a 0 x component
 
  • #49
The point is the only thing that has an x component of -1
 
  • #50
DODGEVIPER13 said:
I guess it doesn't matter as the two wires both have a 0 x component

The two wires run from x = -∞ to x = + ∞.
So that's not the reason.


Think again: as you move along the x-axis a fixed distance away from either wire, does the H field change?
 
  • #51
If the distance from either wire is fixed then no
 
  • #52
DODGEVIPER13 said:
If the distance from either wire is fixed then no

OK, so how can we make life easier by altering the second observation point (-1,2,2) without changing H at any given (x,y,z)?
 
  • #53
Ok so what you are saying is that it does matter
 
  • #54
im really sorry man for dragging this out I am just trying to understand. That being said if you change positions of course you will change the strength, right?
 
  • #55
DODGEVIPER13 said:
im really sorry man for dragging this out I am just trying to understand. That being said if you change positions of course you will change the strength, right?

As x changes, does H change?
 
  • #56
I think so when I said no you said I was wrong?
 
  • #57
DODGEVIPER13 said:
I think so when I said no you said I was wrong?

Why would H change as you move along it, keeping the same perpendicular distance from it? The wire is infinitely long!
 
  • #58
ok so i was correct before and it doesn't change
 
  • #59
DODGEVIPER13 said:
ok so i was correct before and it doesn't change

Yes. I didn't feel youunderstood why. Just gussing right does not help you understand.

Anyway, OK, so how do we write (-1,2,2) if we want to put the observation point in the yz plane? This step is not really necessary but helps to visualize things.
 
  • #60
well your right I am not understanding. Do you have any tips on that? As to your question you should draw the x-axis line so that it is parallel to the two wires. One side of that line will lie in the yz plane which is where it should be marked
 

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