what is considered the area value when we consider the magnetic flux of a straight conductor? (1 Viewer)

C2H6O

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i understand the cases where its like a two dimensional plane, but how would it work for a straight conductor?
wild guess but say it was a rod or something i'd guess it's the cross sectional area when you slice the rod longways so you have a really long rectangle
 

justletmespeak123

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i understand the cases where its like a two dimensional plane, but how would it work for a straight conductor?
I think itd too conplex, like it has something to do with maxwell equations. Just remember thst moving straight conductor, the electrons go to one side, causing an emf. This is known as motional emf
 

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As in a single wire/rod moving in a magnetic field? For a single rod, Use right-hand palm rule to find where the positive charges in the rod go (there needs to be relative motion between the magnetic field and the conductor. I don't think there is significant use of the area in this case, but as said it may be the cross-sectional area however the nature and diameter of the coil must be given. It may also be more prudent to consider the separation of charges to be both EMF and Voltage
1742701648027.png
 

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i understand the cases where its like a two dimensional plane, but how would it work for a straight conductor?
The magnetic flux density around a long, straight conductor is circular and symmetric. It varies as outside the conductor, and within the conductor it varies linearly down to zero flux at the centre. It is a non-uniform field. To calculate the flux outside the conductor you use integral calculus. Select a differential slice of area of length and height that is normal to the circumferential flux, and integrate the flux density over that area from where a is the outside radius of the conductor.
Magnetic-field-around-a-long-straight-conductor.png
Beware - if you set the upper limit of integration to are going to get an infinite amount of flux in this calculation.
Now some of you reading this might be wondering, "How can a conductor create infinite flux?" The answer is "It can't". There is something fundamentally wrong with the model. You can't have a current that just heads off to infinity and never returns; there must be a return path to complete the circuit. That is consistent with Kirchhoff's Current Law. And as soon as you include a return current, the magnetic flux at large distance is reduced to zero.
 
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