Looking for equation/proof of b field in a solenoid

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LiftHeavy13
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Hi guys, I'm looking for an equation and/or proof of the magnetic field produced inside a solenoid with a finite length (hence, it shouldn't just be "muNOT n I." For some reason I can't find a simple proof anywhere. I have no idea where to start. ampere's law obviously doesn't work, and that other law didn't seem of much use...


Thanks in advanced!
 
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Do you want it only on the axis (fairly simple) or anywhere inside the solenoid (very messy)?
 

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