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(A) In an inductor, the magnetic flux $\phi = LI$ cannot change instantaneously. Initially, the inductor has an iron core, so its inductance is $L_1 =

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(A) In an inductor, the magnetic flux $\phi = LI$ cannot change instantaneously. Initially, the inductor has an iron core, so its inductance is $L_1 = L_{core}$. The steady-state current is $I_1 = V/R$. The magnetic flux linked with the inductor is $\phi_1 = L_1 I_1$. When the iron core is removed, the inductance changes to $L_2$ (where $L_2 Since the flux cannot change instantaneously, the current $I_2$ immediately after removal must satisfy $\phi_1 = \phi_2$, which means $L_1 I_1 = L_2 I_2$. Since $L_2  I_1$. Therefore, the current flowing through the inductor increases immediately after the removal of the iron core.

An inductor with an iron core is connected in series with a resistor $R$ across an ideal $DC$ source. The circuit is in a steady state. If the iron core is removed, what happens to the current flowing through the inductor immediately after the removal of the core?

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