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Problem with calculating magnetic flux for a single coil of wire. 
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#1
May412, 02:55 PM

P: 86

1. The problem statement, all variables and given/known data
This is more of a general question about magnetic flux in a uniform magnetic field, but I think this is the correct place to post it. I understand that magnetic flux through an area A is the product of the magnetic flux density B and the projection of area A onto a surface perpendicular to the field. What I don't understand is the way it works for a coil of wire, say just one loop lying perpendicular to the field. I don't understand why you take the area as being the area of the physical circle created by the loop  i.e. pi*r^{2} where r is the radius of the circle created by the loop. Surely it should be just the area of the wire? 2. Relevant equations φ = BAcosθ (which becomes φ = BA for this example) 3. The attempt at a solution If you take a straight wire, the area you take would be the length of the wire times the diameter. So why is it that when you coil that wire around the flux changes because you apparantly take the area of the circle it describes? How does the empty space in the middle of the coil cut any of the field? Perhaps I am understanding magnetic flux wrong entirely? Any help would be appreciated. Confused Alevel student 


#2
May412, 06:15 PM

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Hi Zatman! Welcome to PF!
I think you're thinking of the square loop in this hyperphysics diagram. that's what flux is! study the links from that hyperphysics page 


#3
May512, 04:55 AM

P: 86

Thanks for the reply, tinytim.
I have read your links, but I still don't understand. I think my problem is more fundamental than that. So how would you calculate the flux for a straight conductor? As for the coil, my original post might not have been clear, so I made a quick diagram (attached). The ring represents a coil of wire. From what I understand about magnetic flux, the area used should be the blue shaded area  I don't see how the part inside matters because only the wire is cutting the field. I am sure this is simply because I don't understand what 'flux' really means, I doubt my textbook would make such a mistake. 


#4
May512, 05:07 AM

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Problem with calculating magnetic flux for a single coil of wire.
what flux? what is doing what? can you provide a link to an actual passage in your textbook that you don't understand? 


#5
May512, 05:49 AM

P: 86

What about the new case (attached). >is there a magnetic flux only when the coil is moved? (I think the answer is "no"?) >regardless of whether the coil needs to be moved or not, what area do you use? 


#6
May512, 06:10 AM

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flux is through an area, not a 1D line … a moving line sweeps out an area, so we can talk about the flux through that area (usually the rate of change of that flux per time) you use the whole inside area, and you multiply it by the field (that's assuming the field is constant … if not, the flux is ∫∫ field dxdy) 


#7
May512, 06:23 AM

P: 86

Good, that made perfect sense until:



#9
May512, 06:40 AM

P: 86

Thanks for your assistance, tinytim. Much appreciated. 


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