2. An inductor with inductance L = 0.500 H and negligible resistance is connected to a battery, a switch S that is initially open, and two resistors, R1 = 12.0 E! and R2 = 18.0 9, as shown in the gure to the right. The battery has an emf of 96.0 V and negligible internal resistance. Part I: At time t = I}, you close the switch S. a) What is the current 353 (through the inductor L and the resistor R2) just after S is closed? Please explain. b) As such, what can you say about the relationship between the currents 1'1 (through the battery) and 1'), (through resistor R1)? Please calculate the value right after the switch S is closed. Part II: The switch S has now been closed for a long time. c) What is the current i3 (through the inductor L and the resistor R2) now that the switch S has been closed for a long time? Please explain. d) What is the current 1'; (through resistor R1) now that switch S has been closed for a long time? Has it changed from before? Why or why not? e) What is the current i1 (through the battery) now that switch S has been closed for a long time? Has it changed from before? Why or why not? f) What is another way you can nd i1