Calculate magnetic field intensity

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Discussion Overview

The discussion revolves around calculating the magnetic field intensity (H) generated by two infinitely long parallel filaments. Participants explore the application of Ampere's law and the geometric considerations necessary for determining H at specific points in space, particularly at the origin and at the coordinates (-1,2,2).

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant attempts to apply Ampere's law to find H at the origin and at (-1,2,2), using the equation H=H1+H2.
  • Another participant points out the need to consider the signs of the enclosed currents, which flow in opposite directions.
  • There is confusion regarding the correct computation of distances Ry and Rz, with multiple participants providing differing interpretations and corrections.
  • Participants discuss the direction of the magnetic field and the application of the right-hand rule (RHR) to determine the orientation of H at the origin.
  • One participant proposes that the H field should point in the same direction as the B field, leading to further discussion about the correct application of the RHR.
  • There is a suggestion to express the final answer in terms of unit vectors, and a participant questions whether to include units or present the answer in phasor form.
  • Another participant raises the question of whether the x-component of the observation point affects the calculation of H, leading to further exploration of the geometry involved.

Areas of Agreement / Disagreement

Participants express differing views on the correct computation of distances and the application of the right-hand rule. There is no consensus on the final answers for both parts of the problem, and the discussion remains unresolved regarding the implications of the x-component of the observation point.

Contextual Notes

Participants have noted limitations in their understanding of the geometry involved in calculating distances and the direction of the magnetic field. There are unresolved questions about the impact of the x-component on the magnetic field calculations.

  • #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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