Figure 2.21: Periodic Response of a First Order System.
For a step input it takes a time for to reach within of the steady state. Here, is called the time constant of the system. For a periodic input, the first order system shows attenuation for increasing values of . For a time constant of 0.2 second, the attenuation factor is 0.04, when Hz, (=125.6 rad/s) and amplitude reduction by a factor of 25.
for 
to reach within 
of the steady state. Here, 
is called the time constant of the system. For a periodic input, the first order system shows attenuation for increasing values of 
. For a time constant of 0.2 second, the attenuation factor 
is 0.04, when 
Hz, (=125.6 rad/s) and amplitude reduction by a factor of 25. 
