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

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SUMMARY

The discussion centers on the relationship between magnetic flux density and induced electromotive force (emf) in a wire moving through a magnetic field. It establishes that if a wire moves over a 1 square meter area and generates 1 volt, the magnetic flux density is indeed 1 Tesla, given the conditions of uniformity and constant speed. The conversation clarifies that the statement "1 Wb/sec will produce 1 V" is more accurately applied to an alternating magnetic field, where the rate of change of the magnetic field induces the voltage. The discussion emphasizes the importance of understanding the nature of the magnetic field, particularly in AC scenarios.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the concept of magnetic flux and its units (Weber, Tesla)
  • Knowledge of how motion through a magnetic field induces voltage
  • Basic grasp of alternating current (AC) and its characteristics
NEXT STEPS
  • Study the principles of electromagnetic induction in detail
  • Learn about the mathematical relationship between magnetic flux and induced voltage
  • Explore the behavior of sinusoidal magnetic fields and their effects on induced emf
  • Investigate practical applications of magnetic fields in electrical engineering
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Physics students, electrical engineers, and anyone interested in the principles of electromagnetism and their applications in technology.

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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