Environmental Engineering Reference
In-Depth Information
In what follows we use the circuit shown in Fig.5.5 to demonstrate
the usefulness of (5.17) in handling impulses encountered at switching
instants. The switch was initially at position A and changes its position
from node
A
to node
B
at
As a result, inductor
carries an initial
current of 2A whereas inductor
is initially at rest, i.e.
and
also,
The circuit in
is
depicted by
from which we obtain the time-domain response
It is seen that both
and
contain a Dirac impulse of strength
at
and
on the other hand, are impulse-free. Also
observed is that
and
and
are discontinuous at
3.1 Two-Forward-Step Algorithm
Because no input to the circuit for
we have
In the
step immediately after
Eq.(5.17) becomes
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