We take up the study of a zero-state response of series RLcircuit for exponential inputs and
sinusoidal inputs in this section. We do not worry about the zero-input response anymore
since we know that it is I
0
e
–t/
τ
, where I
0
is the initial current specified at t
0
–
. The total
response is found by adding zero-input response and zero-state response together.
We permit exponential inputs of the form e
st
u(t) in this section, where scan be a
complex number s
–
σ
j
ω
, where
σ
and
ω
are two real numbers. The reason for gener-
alising the exponential input in this manner will be clear soon. We put a negative sign ...
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