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How does the Magnetic field and Magnetic flux through a multiple-layered solenoid depend on the number of layers?

Physics Asked by Derby Moose on October 11, 2020

Will the Magnetic flux through the solenoid be equal to 0 if the number of layers is even ( due to opposite direction of current of the adjacent layers)?

One Answer

The magnetic field inside an infinite (very long) solenoid depends of the current intensity and the density of wires of the solenoid:

$ B = mu_0nI$

for a solenoid in free space. $n$ is the density of wires. As you can see, $B$ is constant everywhere inside and the field is 0 outside the solenoid. So if you stack multiple solenoids, the fields adds up together and the resulting value will depend of where you look; if it is inside the central solenoid or between two consecutive solenoid. In either case, the field will only depend of solenoids external to this point since the field is 0 outside of a solenoid. When current flows in the other direction than another solenoid, the field takes up a negative value compared to the first solenoid so field can cancel up and it only take at least two solenoid to cancel a field (there can be more and it does not need to be an even number).

Answered by fgoudra on October 11, 2020

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