The switches in the circuit shown below have been open (left switch) and closed (right switch) for a longtime. At time equal to zero this switches change as indicated in figure. a) Find the numerical expressionsfor iL(t) and vo(t) for t ≥ 0. b) Find the numerical values of vL(0+) and vo(0+). 6. The switches in the circuit shown below have been open (left switch) and closed (right switch) for a longtime. At time equal to zero this switches change as indicated in figure. a) Find the numerical expressionsfor iz(t) and vo(t) for t20. b) Find the numerical values of vL (0+) and v. (0+).30V (+130ww6mHiLmm ²+ UL +Vo9NΦΩt=0t=0x8A

For the RL circuit, we need to determineiL(t) and vo(t) for t≥0,vL(0+) and vo(0+).For time just before the movement of switches, the inductor is in steady-state, i.e., short-circuited, as shown below.The initial current through inductor isAt the movement of switches connects 8 A of current source with rest of the circuit.We know that the current through the inductor does not change suddenly. Hence, The current through resistor isThe initial voltage across resistor isThe initial voltage across the inductor using KVL isAt steady-state after the inductor acts as a short-circuit element. The steady-state inductor current is determined as:Nodal anlaysis at node 'A',The steady-state inductor current isThe equivalent resistance seen by the inductor isThe time-constant isThe inductor current equation isThe output voltage equation is