Proving turns per length on a solenoid

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SUMMARY

The discussion focuses on proving that the number of turns per length on a solenoid is equal to 1/(diameter of the wire). The participant initially calculated the number of coils per length as 1/(2π*radius) but expressed confusion regarding the presence of an extra π in their formula. Clarification was provided that the diameter referenced is specifically that of the wire, not the solenoid itself, which is crucial for accurate calculations.

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anonymousphys
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Homework Statement


Prove that the number of turns per length on a solenoid is equal to 1/(diameter).


Homework Equations


A= 2(pi)(R)


The Attempt at a Solution



number of turns= length/(2pi*radius)
number of coils per length=(length/(2pi*radius))/length
number of coils per length=1/(2pi*radius)

I'm not sure why I have an extra pi. Did I do something wrong?

Thanks for any help.
 
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In the problem the diameter is the diameter of the wire, not the diameter of the solenoid.
 

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