Environmental Engineering Reference
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impulse exists. This observation also suggests that the response of
circuits at the end of the step immediately after switching can be
written in the following general form
where is a constant, quantifying the strength of the impulse, and
is an impulse-free function, i.e. when
The subscripts “ici” specifies “inconsistent initial conditions”
whereas “ci” represents “consistent initial conditions”.
From the analytical results, we have
and
Clearly,
and
can not be used to obtain
and
and
on the other hand, provide the correct value of
and
when
The same holds for
and
as well.
If
and
are used to approximate
and
respectively, the error can be determined as follows :
Since
we have
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