I'm working on the following homework problem. (Yes, this is homework. :p ) I'm supposed to find the current through L1 as a function of time.
Using current division I've identified the current at zero time.
$$ I_L (0) = 0.01(15/(47+15)) = 2.42mA$$
However, I'm a little confused on how to find the equivalent resistance (since the Time Constant = Inductance/Equivalent Resistance.) Are they in parallel with each other? I guess the reason I'm confused is that my textbook said to find the equivalent resistance from the view of the inductor.
Note: The empty wire parallel to the inductor had a switch that was closed at t=0.