ECE 329
Homework 11
Due: Tue, Nov 30, 2010, 5PM
1.
In the transmissionline circuit shown below all lines are lossless. Calculate the timeaverage
power dissipated at the two loads given that 2Z
01
= Z
02
= 100 Ohm and R
L1
= 50 Ohm and R
L2
= 50
Ohm.
2.
In the transmissionline circuit shown below the voltage at the load is
15 V
L
Vj
=
. The operating
frequency is 100 MHz. Given that the line is lossless of characteristic impedance of 75 Ohm with
wave velocity
8
21
0
×
m/s, calculate the following:
a.
The timeaverage power dissipated at the load;
b.
The timeaverage power delivered by the generator.
3.
In the transmissionline circuit shown below all lines are lossless with characteristic impedances
Z
01
= 2Z
02
= 100 Ohm. The voltage generator is given to be
10 0 V, Z
100
100 Ohm
gg
=
∠=
+
o
. If
the load impedance is
Z5
05
0
O
h
m
L
j
=+
, calculate the following:
a.
The timeaverage power dissipated at the load;
b.
The voltage and the current at the load.
4.
Smith Chart derivation
: Consider a complex variable
z
=
r
+
jx
, where
r
and
x
are real variables.
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 Spring '08
 Kim
 Complex number, Electrical impedance, Smith chart, Γi, transmissionline circuit

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