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A solenoid is connected to a battery so ...

A solenoid is connected to a battery so that a steady current flows through it. If an iron core is inserted into the solenoid, then

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When the iro core is inserted in the current carrying solenoid, the magnetic field increases due to the magnetisation of iron core and consequently the flux increases. According to Lenz's law, the emf produced must oppose this increases in flux, which can be done by making decrease in current. So, the current will decrease.
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NCERT EXEMPLAR-ELECTROMAGNETIC INDUCTION -Electromagnetic Induction
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  8. Consider a closed loop C in a magnetic field, Fig. The flux passing th...

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  9. Find the current in the wire PQ for the configuration shown in Fig. Wi...

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