Environmental Engineering Reference
In-Depth Information
It should, however, be noted that
in the time interval
usually differ from that in the time interval
due to the following
reasons :
Dirac impulses encountered at exist in the time interval
only and die out at the end of this time interval. In other words,
there will be no Dirac impulses in the backward step.
Circuit elements with memory at the onset of the backward step carry
initial conditions (capacitors have initial voltages and inductors have
initial currents). These initial conditions make their appearance in
in the backward step.
In the forward step, we have the step size
where the subscript
specifies that the expression of
is for the
network in the forward step, i.e.
only. In the backward step,
we have the step size
and the expression of
is given by
As an example, consider the circuit in Fig.5.4. We have shown in
Chapter 5 that the
response of the circuit in the forward step
is given by
Choose
we have
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