Magnetic field at single point and straight line.

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Discussion Overview

The discussion revolves around determining the magnetic field generated by a linear conductor at a straight line parallel to it, exploring both theoretical and practical aspects of magnetic field calculations in different geometries.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant states that the magnetic field at a single point can be calculated using the formula B=(μ0I)(sinθ2-sinθ1)/4πd, but is uncertain how to extend this to a straight line parallel to the conductor.
  • Another participant suggests that the magnetic field can be determined for every point on the line, implying that the line consists of many points where the field can be calculated individually.
  • A later reply proposes that if the conductor is infinite, the magnetic field strength will be the same everywhere along the parallel line, indicating that integration may not be necessary in this case.
  • One participant questions how to approach the situation if the conductor is shaped differently, such as in a circular form, and whether the same principle applies regarding the magnetic field being uniform across the line.
  • Another participant asserts that different points will generally have different magnetic fields, suggesting that the magnetic field is not uniform in all configurations.

Areas of Agreement / Disagreement

Participants express differing views on whether the magnetic field can be considered uniform along a straight line parallel to an infinite conductor, with some asserting uniformity while others indicate variability depending on the configuration.

Contextual Notes

There are unresolved assumptions regarding the nature of the conductor (infinite vs. finite) and the implications for magnetic field calculations in different geometries, such as circular conductors.

cdummie
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Homework Statement



If i have a system with one linear conductor and point, it's not problem to determine magnetic field at point, nut what happens if i have to determine the magnetic field at the straight line parallel to the linear conductor.

Homework Equations

The Attempt at a Solution


For the linear conductor and point it's always B=(μ0I)(sinθ2-sinθ1)/4πd. But i don't know how to do it if i have a straight line and linear conductor.
 
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"The magnetic field" is always something you can determine at a single point - and the line just consists of many points. Determine the magnetic field for every point on the line and you are done.
 
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mfb said:
"The magnetic field" is always something you can determine at a single point - and the line just consists of many points. Determine the magnetic field for every point on the line and you are done.

So, it should go like this, when finding the magnetic field at the single point i integrate whole linear conductor i mean if it's very long, then i integrate from -π/2 to π/2 and when i do it, it's actually the magnetic field at the single point, and it looks like this B=(μ0I)/2πd, but what should i do next, how can i include whole line, not just this single point, should i integrate again or something?
 
What do you mean with "include whole line"? It's like asking "what is the temperature in the US?" - the answer will be "x here, y there, z over there, ...". It does not make sense to integrate over temperatures at various places.

Every point on the line has its own magnetic field strength, there is nothing to integrate over. If your conductor is an infinite line and your other line is parallel to it then the magnetic field strength will have the same value everywhere.
 
mfb said:
What do you mean with "include whole line"? It's like asking "what is the temperature in the US?" - the answer will be "x here, y there, z over there, ...". It does not make sense to integrate over temperatures at various places.

Every point on the line has its own magnetic field strength, there is nothing to integrate over. If your conductor is an infinite line and your other line is parallel to it then the magnetic field strength will have the same value everywhere.

Thanks a lot, that's what i was looking for, so basically i need to find magnetic field at one point and i found it in every place in case of a infinite line, but what would happen if i had different conductor, say, conductor shaped like circle, would it be the same, i mean i find the magnetic field for one point and that's the value for the whole line, and if it's so, then why? Sorry for bothering (i just want to make it clear) and thanks again.
 
In general, different points will have different magnetic fields.
 

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