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An inductor of inductance L=400 mH and ...

An inductor of inductance `L=400 mH` and resistors of resistances `R_1=2Omega` and `R_2=2Omega` are connected to a battery of emf `E=12 V` as shown in the figure. The internal resistance of the battery is negligible. The switch S is closed at time `t=0`.

What is the potential dro across `L` s a function of time? After the steady state is reached, the switch is opened. What is the direction ad the magnitude of current throough `R_1` as a function of time?

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