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An infinite solenoid has infinite length but finite diameter. "Continuous" means that the solenoid is not formed by discrete finite-width coils but by many infinitely thin coils with no space between them; in this abstraction, the solenoid is often viewed as a cylindrical sheet of conductive material.
Consider an infinite solenoid (ideal solenoid) with n turns per length unit, through which a current () flows. The magnetic field inside the solenoid is, The magnetic field inside the solenoid is, B = μ n I ( t ) {\displaystyle \mathbf {B} =\mu nI(t)} (1)
The H-field strength inside a long solenoid wound with 79.58 turns per meter of a wire carrying 1 A is approximately 1 oersted. The preceding statement is exactly correct if the solenoid considered is infinite in length with the current evenly distributed over its surface.
Without power, the plunger extends for part of its length outside the coil; applying power pulls the plunger into the coil. Electromagnets with fixed cores are not considered solenoids. In simple terms, a solenoid converts electrical energy into mechanical work. Typically, it has a multiturn coil of magnet wire surrounded by a frame, which is ...
A solenoid is a one-dimensional homogeneous indecomposable continuum that has the structure of an abelian compact topological group. Solenoids were first introduced by Vietoris for the n i = 2 {\displaystyle n_{i}=2} case, [ 2 ] and by van Dantzig the n i = n {\displaystyle n_{i}=n} case, where n ≥ 2 {\displaystyle n\geq 2} is fixed. [ 3 ]
The length of is the largest length of any of its chains. If no such largest length exists, we say that M {\displaystyle M} has infinite length . Clearly, if the length of a chain equals the length of the module, one has M 0 = 0 {\displaystyle M_{0}=0} and M n = M . {\displaystyle M_{n}=M.}