$A$ solenoid is connected to a battery so that a steady current flows through it. If an iron core is inserted into the solenoid, will the current increase or decrease? Explain.

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(B) When an iron core is inserted into the solenoid, the magnetic permeability of the core increases significantly compared to air.
This leads to an increase in the magnetic field $(B)$ and consequently the magnetic flux $(\Phi)$ linked with the solenoid.
According to Lenz's law, the induced electromotive force $(emf)$ will oppose this change in magnetic flux.
To oppose the increase in magnetic flux, the solenoid induces a back $emf$ that acts against the battery voltage.
As a result, the net current flowing through the solenoid decreases.

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