A solenoid with N loops of wire tightly wrapped around an iron core is carrying an electric current. If the current through this solenoid is reduced to half, then what change would you expect in inductance L of solenoid?

The inductance L of a solenoid depends only on its geometry (number of loops, core material, etc.) and not on the current. Thus, reducing the current to half does not change the inductance of the solenoid.

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