How Does an External Magnetic Field Impact Solenoid Performance?

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The performance of a solenoid is unaffected by a constant external magnetic field if the solenoid is fixed in place. However, if the external field varies or the solenoid is movable, the rate at which the magnetic field is established within the solenoid is altered, as described by Faraday's law. Additionally, when two identical air-core solenoids are connected in parallel with an alternating current, the current through each should remain identical. The inductance of this parallel circuit will differ from that of a single solenoid with double the length, raising questions about mutual inductance calculations. Understanding these concepts is crucial for accurate analysis of solenoid behavior in varying magnetic environments.
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I was wondering, are there significant effects on the performance of a solenoid when the solenoid is inside an external magnetic field? Does it affect the rate at which the magnetic field is established within the solenoid?
 
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Welcome NuclearUSA.
If the external field is constant & the solenoid is fixed , no effect will be observed.
If the external field varies with time or the solenoid is not fastened, the rate is clearly altered ; which can be calculated by Faraday's law. Read more about inductors.
 
I do have another question on a related note for which I have found no satisfactory answer in the reading I have done on the subject. Say we have two identical air-core solenoids that are placed face-to-face. The coils are then connected in parallel with an alternating current source. Since the coils are identical, the current flowing through them should be identical. How will the inductance of this circuit compare with a circuit composed of a single solenoid of equal dimensions to the previous set combined (2x the length of one of the original's and everything else the same).
 
I have done reading on mutual inductance, but the definitions and equations given are quite cryptic and I am not sure how to use them in calculations.
 
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
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