Signals and Systems

4.20 IMPULSE RESPONSE OF SERIES R–L CIRCUIT

Fig. 4.24 shows a series R–L circuit. The circuit is excited RL by an impulse function of magnitude E at time t = 0. Using KVL, we have,

 

 

Fig. 4.24 Series RL circuit with impulse input

 

 

The Laplace transform of Eq. (4.92) is given below.

 

E = RI(s)+ L [sI (s)– i (0–)]      (4.93a)

 

If the circuit is initially relaxed i.e, i (0−) = 0, Eq. (4.93) can be written as

 

 

The inverse Laplace transform ...