Solenoids are simpler to build as they don't require insulated wire as in modern electrical cable because as the electromagnetic coils don't touch one another.
As such it is perhaps the reason why some early electromagnetism experiments were carried out with solenoids, which André-Marie Ampère named in 1823.
But the downside of this is that the magnetic field they can generate is less strong.
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A solenoid is a helical winding of conducting wire. For an ideal very long winding with turns per unit length and negligible pitch, Ampère's law gives a uniform axial magnetic field inside and zero field outside. Finite-length end fields and the pitch correction are excluded by this approximation. The self-inductance of a length and cross-sectional area is .
