Looking for equation/proof of b field in a solenoid

AI Thread Summary
The discussion centers on finding an equation or proof for the magnetic field inside a finite-length solenoid, emphasizing that the standard formula "μ₀nI" is insufficient. The user expresses difficulty in locating a straightforward proof and notes that traditional methods like Ampere's Law are not applicable. There is a query about whether the magnetic field is needed only along the axis or throughout the entire solenoid, indicating the complexity of the latter. The conversation highlights the challenges in deriving the magnetic field in this specific context. Overall, the user seeks clarity on a complex topic in electromagnetism.
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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