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(A) In a $DC$ circuit, the steady-state current $I$ is determined by Ohm's law, $I = V/R$, where $V$ is the battery voltage and $R$ is the resistance

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(A) In a $DC$ circuit, the steady-state current $I$ is determined by Ohm's law, $I = V/R$, where $V$ is the battery voltage and $R$ is the resistance of the solenoid coil.Inserting an iron core into the solenoid increases its self-inductance $L$. However, self-inductance only affects the circuit during the transient state (when the current is changing) by inducing a back $EMF$ $(e = -L(dI/dt))$.Once the current reaches a steady state, $dI/dt = 0$, so the back $EMF$ becomes zero.Since the resistance $R$ of the coil remains unchanged and the battery voltage $V$ is constant, the steady-state current remains the same.

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

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