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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.