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

[magnetics]

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?

 

[magnetics]

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.

 

[jtbell]

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.

 

[berkeman]

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.

 

[sardar]

This is a great question about the relationship between Weber and Tesla. To answer your question, yes, it would be true that the flux density is 1 Tesla if the wire produces exactly 1 volt over 1 square meter. This is because, as you stated, 1 Tesla is equal to 1 Wb/m2. Therefore, if the wire is producing 1 Wb and the area is 1 m2, the flux density would indeed be 1 Tesla.

However, it is important to note that this scenario assumes a perfectly uniform magnetic field and a perfect wire with no resistance. In reality, there may be variations in the magnetic field and the wire may have some resistance, which could affect the voltage produced. Additionally, the strength of the magnetic field may also affect the voltage produced, as it is directly proportional to the number of turns in the wire.

Overall, the relationship between Weber and Tesla is a crucial one in understanding the behavior of magnetic fields and their effects on conductors. Thank you for asking this thought-provoking question.