An RL circuit consists of two inductors of self-inductance L1 8.00 H and L2 1.00 H connected in parallel to each other, and connected in series to a resistor of 5.00 ? and a battery of 5.00 V . Assume that the inductors have no mutual inductance. When the battery is suddenly connected what is the initial rate of change of the current in inductor L1? What is the initial rate of change of the current in L2?What is the final, steady current in L1? What is the final, steady current in L2?
In L1: Vs r i(t) + L1 di/dt di/dt Vs/L1 5/8 0.625 A/s In L2: di/dt Vs/L2 5 A/s Assuming R_inductors 0 steady current in L1: i1 (V/R)/2 0.5 A steady current in L2: i2 (V/R)/2 0.5 A
