Is the Flux Density 1 Tesla if a Wire Over 1 Square Meter Produces 1 Volt?

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Discussion Overview

The discussion revolves around the relationship between magnetic flux density and induced voltage in a wire moving through a magnetic field. Participants explore the conditions under which a wire passing over a specific area could produce a certain voltage, particularly focusing on the implications of a flux density of 1 Tesla.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant states that if a wire spans a 1 square meter area and produces 1 volt while moving at a constant speed, this implies a uniform magnetic field of 1 Tesla in that area.
  • Another participant questions the phrasing of the original question, suggesting that the statement "1 Wb/sec will produce 1 V" is not entirely accurate, particularly in the context of AC magnetic fields.
  • This participant elaborates that a sinusoidally varying magnetic field could also yield a 1V peak output under certain conditions, indicating that the relationship is not straightforward.
  • One participant expresses concern about the lack of responses to the question, wondering if it is too difficult or confusing, and seeks feedback on how to improve the clarity of their inquiry.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the phrasing and implications of the original question. There are differing views on the accuracy of the statements regarding magnetic flux and induced voltage, indicating that multiple interpretations exist.

Contextual Notes

Participants note that the question is posed in a non-standard way, which may contribute to the lack of responses. There are also unresolved aspects regarding the nature of the magnetic field and the conditions under which the voltage is induced.

magnetics
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Hi,

If by convention 1 Wb/sec will produce 1 V; and

1 Tesla is 1 Wb/m2

Assuming we had a large enough surface area of a uniform field B...

If we passed a wire over exactly 1 square meter and it produced exactly 1 volt would it be true that the flux density is 1 Tesla?
 
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So I am wondering why after 148 views of this question there has not been one response. Is this typical? Is the question too difficult, easy or confusing? Do I need to post some more background information?
Please let me know.

I studied physics in 1st year college many years ago and have recently become very interested in the workings, applications and theories of magnets.

The question and answer seems obvious to me and maybe to you but I just wanted to make sure I wasn't overlooking something.
 
If the "square meter" is a 1 meter by 1 meter square, and the wire spans that region parallel to one of the sides, and the wire moves at constant speed, and it takes 1 second to traverse the square meter, and you get a constant emf of 1 volt during that 1 second, then you have a uniform magnetic field of 1 tesla in that square-meter region.
 
magnetics said:
Hi,

If by convention 1 Wb/sec will produce 1 V; and

1 Tesla is 1 Wb/m2

Assuming we had a large enough surface area of a uniform field B...

If we passed a wire over exactly 1 square meter and it produced exactly 1 volt would it be true that the flux density is 1 Tesla?

It's not so much that it's a tough question, it's just posed in a sort of non-standard way.

When you say "1 Wb/sec will produce 1 V", that's not quite right. For an AC magnetic field with a value that is changing ar a rate of 1 Wb/sec, then that will produce the 1V EMF. You can get that with a sinusoidally varying field with a peak change rate of 1 Wb/s, in which case at the moments when the changing field is at that rate of change, you get the 1V peak output. You could also get the value with a ramping magnetic field, I suppose, but a sinusoidally varying field is more common in magnetic circuits.
 

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