A solenoid of 1000 turns per metre has a core of material with relative permeability 400. The windings of the solenoid are insulated from the core and a current of 2 A is passed through the solenoid. Then the value of the magnetic intensity inside the solenoid is
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Be careful to distinguish between magnetic field $B$ (in Tesla) and magnetic intensity $H$ (in A/m). For a solenoid, $H = nI$ is independent of the core, while $B = \mu H = \mu_r \mu_0 H$ depends on the core material. Read the question carefully to see which quantity is asked for.