Electrical Engineering ⇒ Topic : Pulse Response

Gopal
 
PULSE RESPONSE A pulse E(t) shown in Figure 1 (a) is given by E(t) = E [u(t)  u(t  T)]. This pulse is applied to a series RL circuit shown in Figure 1 (b) by closing the switch. Applying KVL to the loop of Figure 1 (b), we can write .............. (1)
Figure (1) Series RL circuit: (a) pulse and (b) circuit diagram to which the pulse is applied. Taking the Laplace transform of Eq. (1), L [s I(s)  i(0)] + R I(s) = E(s) .............. (2) .............. (3) Using Eq. (2) and putting i(0 ) = 0, i.e. the circuit is initially relaxed, Eq. (3) can be written as ............. (4) Taking the inverse Laplace transform of Eq. (4), we get ............. (5)  
 
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