Inductance of Solenoid with Solid Metal Core With respect to frquency
Hi. Consider the Solenoid/Inductor Like one the Picture. There is Air gap between the coil and inserted solid metal.

Hi. Consider the Solenoid/Inductor Like one the Picture. There is Air gap between the coil and inserted solid metal. The solid metal is from Aluminum or Copper (Both have relative magnetic permeability , close to 1 regardless of temperature).

What will happen with inductance of the given Solenoid if we increase the frequency of the applied voltage.

 

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The inductancwe will not change, but the inductive reactance will increase in proportion to the frequency, because Inductive reactance=Xl=2 (pi) F L