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MIT 8.02 Electricity and Magnetism, Spring 2002
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is the formula for infinite solenoid \[\mu n i \] valid for solenoids of all cross sections
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Yes, it is valid for any cross section shape as long as it remains the same along the solenoid.
if it is an infinite solenoid ,then yes. this formula can also be used as an approximation when the cross-section is very small compared to its length
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