38 Distribution networks
•
A
corporate ladder
network that combines 4
identical loads
Z
L
into a single equivalent input
impedance
Z
L
is shown in the margin.
•
In this network 6 di
ff
erent quarterwave trans
formers with arbitrary but identical characteris
tic impedances
Z
o
are utilized.
You should be able to compute the load volt
ages
V
L
in the network in terms of input volt
age
V
in
applied across the input port by using
the currentforcing formula for the quarterwave
transformer introduced earlier on.
Z
L
Z
L
Z
L
Z
L
Z
in
=
Z
L
Loads
Quarter
wave tx’s
Quarter
wave tx’s
All quarterwave
tx’s have the
same Z_o
Input impedance is the
same as load impedance
By symmetry, the loads absorb equal avg power,
a quarter of the input power each.
CORPORATE LADDER NETWORK
Input
port
•
If, in a
corporate ladder
network,
Z
L
=
Z
o
, then TL segment lengths
connected to each
Z
L
can be varied at will without a
ff
ecting the input
impedance
Z
L
=
Z
o
(why?).
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 Summer '10
 KUDEKI
 Impedance, Input impedance, Impedance matching, zo, Impedance bridging, ZL ZL ZL

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