
We had noted under a similar context (Sect. 10.9 in Chap. 10 on RL circuits) that
the number k can be interpreted as a comparison between the characteristic time – i.e.,
the period of the applied input and the characteristic time of the circuit – i.e., its time
constant. k can be expressed as 2
π
(
τ
/T), where T is the period of input. The value of T is
indicative of the rate of change involved in the waveform, i.e., the speed of the wave-
form. Time-constant is a measure of inertia in the system. Therefore, an input sinusoid
is too fast for a circuit to follow if its T is smaller than the time constant
τ
of the circuit.
Similarly, if input sinusoid ...