The number of protons in the nucleus of an atom determines an element's atomic number.
If you double the number of turns and double the length, the value N/L remains the same and hence the magnitude of the magnetic field stays the same.
A solenoid is a device comprised of a coil of wire, the housing and a moveable plunger (armature). When an electrical current is introduced, a magnetic field forms around the coil which draws the plunger in.
The magnitude of the magnetic field in an infinite (L>>R) solenoid, is proportional to:
I*N/L
Where
I = current
N = number of turns
L = length of wire
So, if you double the number of turns and double the length, the value N/L remains the same and hence the magnitude of the magnetic field stays the same.
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