Signals and Systems

4.22 PULSE RESPONSE OF SERIES R–L CIRCUIT

A pulse e(t) shown in Fig. 4.26(a) is given by e(t) = u (t) – u(t – T). This pulse is applied to a series RL circuit shown in Fig. 4.26(b) by closing a switch K. Applying KVL in the loop of Fig. 4.26(b), it can be written as that,

 

 

Fig. 4.26 (a) Series R–L circuit with pulse input, (b) series R–L circuit

 

 

Taking Laplace transform of Eq. (4.99), it can be written as follows,

 

L [sI(s)– i (0–)]+ RI(s) = E(s)      (4.100)

 

 

Using Eq. (10.37) and putting i(0−) i.e., the circuit is initially ...