ELEE 4750U Microwave and RF Circuits
Assignments
Assignment 7:
1. A lossy transmission line has a noise figure of F0 at temperature T0 = 290 K. Calculate
the noise figure of this line as its physical temperature ranges from T = 0 K to 1000 K, for
F0 = 1 d

Elements Of Electromagnetics
Sadiku
1
Introduction (section 11
11.1)
1)
Transmission Line Parameters (section 11.2)
Transmission
i i Line
i Equations
i
(section
(
i 11.3)
11 3)
Input Impedance, Standing Wave Ratio, and
Power (section 11.4)
Introduction t

ELEE 4750U Microwave and RF Circuits
Assignments
Assignment 4:
Due date: Thur. Nov. 17, by 11:20am
1. Design a low-pass maximally flat lumped-element filter having a passband of 0 to 2
GHz and an attenuation of 20 dB at 3.4 GHz. The characteristic impedan

ELEE 4750U Microwave and RF Circuits
Assignments
Assignment 3:
Due date: Thursday Nov. 10, by 11:20am
1. A resonator is constructed from a 3.0 cm length of 100 air-filled coaxial line, shorted
at one end and terminated with a capacitor at the other end, a

Microwave and RF Circuits
Pozar
D. Pozar, Microwave Engineering, 3rd Edition, John Wiley & Sons, 2005
G. Gonzalez, Microwave Transistor Amplifier: Analysis and Design, 2nd
Edition, Prentice Hall, 1997.
Adel S. Sedra and Kenneth C. Smith, Microelectronic C

ELEE4750U Project
Design a microstrip filter: You will be assigned a center frequency f0 and bandwidth .
Assume R0=50 . The passband return loss is required to be better than 18 dB, i.e.
20log10|S11|> 18 dB over the passband. The insertion loss at f1 need

Microwave and RF Circuits
Pozar
1
Microwave Resonators
ENGR 4750U Microwave and RF Circuits - Y. Wang
Resonators
Applications: filters, oscillators, frequency meters,
amplifiers
Lumped element series and parallel resonant circuits
Transmission line res

Microwave and RF Circuits
Pozar
1
Microwave Resonators
ENGR 4750U Microwave and RF Circuits - Y. Wang
Resonators
Applications: filters, oscillators, frequency meters,
amplifiers
Lumped element series and parallel resonant circuits
Transmission line res

Microwave and RF Circuits
Pozar
1
Power Dividers and Directional Couplers
(sections 7.1, 7.2, 7.3 , 7.5 , 7.6 , 7.8)
ENGR 4750U Microwave and RF Circuits - Y. Wang
47
Power Dividers and Directional Couplers
Power division and combining.
(a) Power divisio

ELEE 4750U Microwave and RF Circuits
Assignments
Assignment 3:
1. Design two lossless L-section matching circuits to match the following load to a 100
generator at 3 GHz:
ZL = 20 j 90
2. Match a load ZL = 200 to a 100 line at 1 GHz, using single shunt-s

ELEE 4750U Final Exam Formula Sheet
Input impedance of terminated lossless transmission lines:
+
tan
=
+
tan
Relationship between load impedance and reflection coefficient:
1+
=
=
+
1
Conversion between dB and nepers:
1 neper = 8.686 dB
Impedance matr

Microwave and RF Circuits
Pozar
1
Transmission Lines and Waveguides
ENGR 4750U Microwave and RF Circuits - Y. Wang
11
Transmission Lines and Waveguides
Transmission lines consist of two or more conductors
may support transverse electromagnetic (TEM)
wave

ELEE 4750U Microwave and RF Circuits
Assignments
Assignment 6:
1. A directional coupler has the scattering matrix given below. Find the return loss,
coupling factor, directivity, and insertion loss. Assume that the ports are terminated in
matched loads.
0

ELEE 4750U Microwave and RF Circuits
Assignments
Assignment 1:
1. Use the Smith chart to find the shortest lengths of a short-circuited 75 line to give
the following input impedance:
(a) Zin=0
(b) Zin=
(c) Zin=j75
(d) Zin=-j50
(e) Zin=j10
2. A slotted-

ELEE 4750U Microwave and RF Circuits
Assignments
Assignment 5:
1. Design a low-pass maximally flat lumped-element filter having a passband of 0 to 2
GHz and an attenuation of 20 dB at 3.4 GHz. The characteristic impedance is 50 . Draw
the circuit, and fin

ELEE 4750U Microwave and RF Circuits
Assignments
Assignment 4:
1. A resonator is constructed from a 3.0 cm length of 100 air-filled coaxial line, shorted
at one end and terminated with a capacitor at the other end, as shown. (a) Determine the
capacitor va

Microwave and RF Circuits
Pozar
Transmission Line
(chapter 2)
1
Terminated Lossless Transmission Line
ENGR 4750U Microwave and RF Circuits
Y. Wang
A transmission line terminated
i a short
in
h circuit.
i i
ENGR 4750U Microwave and RF Circuits
Y. Wang
(a)

ELEE 4750U Microwave and RF Circuits
Assignments
Assignment 2:
1. Derive the [Y] matrix for the following two-port network:
2. Find the ABCD matrix for the following circuit by direct calculation using the
definition of the ABCD matrix, and compare with t

ELEE 4750U Midterm Formula Sheet
Input impedance of terminated lossless transmission lines:
+
tan
=
+
tan
Relationship between load impedance and reflection coefficient:
1+
=
=
+
1
Conversion between dB and nepers:
1 neper = 8.686 dB
Impedance matrix:
V1

Microwave and RF Circuits
D. Pozar, Microwave Engineering, 3rd Edition, John Wiley
& Sons, 2005
Jia-Shen Hong, and M. J. Lancaster, Microstrip Filters for
RF/Microwave Applications, Wiley-Interscience 2001.
Microwave Filters (sections 88.3
3 ~ 88.4)
4)
E