Environmental Engineering Reference
In-Depth Information
As a result,
Expressions for other types of dependent sources can be derived in a
similar manner and are left as an exercise to readers.
Ideal Switches
: Let there be a perturbation in the element values of
N
such that the voltage and current of an ideal switch vary from
and
respectively. If
the switch is
CLOSED
at
then,
and
Moreover, since its counterpart in
is also a
CLOSED
switch at
then
As a result
where and are the voltage and current of the switch in
respectively. Similarly, one can show that (11.43) also holds if the
switch is
OPEN.
Writing (11.43) in the phasor domain gives
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