C HAPTER 9
Section 91: Transfer Function
Problem 9.1 Determine the resonant frequency of the circuit shown in Fig. P9.1,
given that R = 100 , L = 5 mH, and C = 1 F.
L
Zi
C
R
Figure P9.1: Circuit for Problem 9.1.
Solution:
Zi = R
1
j C
+ j L
=
R
j C
1
R +
Problem 9.28 For the circuit shown in Fig. P9.28:
(a) Obtain an expression for H( ) = Vo /Vi in standard form.
(b) Generate spectral plots for the magnitude and phase of H( ), given that
R = 10 , L = 1 mH, and C = 10 F.
(c) Determine the cutoff frequency
Section 82 and 83: Average and Complex Power
Problem 8.9 Determine the complex power, apparent power, average power
absorbed, reactive power, and power factor (including whether it is leading or
lagging) for a load circuit whose voltage and current at i
Problem 9.9 Circuit (b) in Fig. P9.9 is a scaled version of circuit (a). The scaling
process may have involved magnitude or frequency scaling, or both simultaneously.
If R1 = 1 k gets scaled to R = 10 k, supply the impedance values of the other
1
elements
Problem 9.36 Design an active lowpass lter with a gain of 4, a corner frequency
of 1 kHz, and a gain rolloff rate of 60 dB/decade.
Solution: The rolloff rate of 60 dB requires a threestage LP lter, similar in
design to that in Fig. 926. To secure posi
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ECE 113 Spring 2012
Homework 9 Solution
1) The impedance parameters for a twoport network are
V1 Z
= 11
V Z
2 21
Z12 I1
,
Z 22 I 2
V1
I1 I
=
V1
I2 I
0=
V2
I1 I
=
V2
I2 I
0=
Z11
where
2
Z 21
2
Z12
1
0
Z11
1
0
Therefore
V1
V
= Z L1 + Z R = j L
1 of 3 pages
University of Rochester
Department of Electrical and Computer Engineering
ECE113
Final Examination

51201
In this examination, you are permitted one (1) sheet of notes 8.5" 11" in size. You may also use
a handheld calculator. For partial
1 of 1 pages
University of Rochester
Department of Electrical & Computer Engineering
ECE113
Final Examination

51102
In this examination, you are permitted one (1) sheet of notes 8.5" 11" in size. You may also use a
handheld calculator. For partial cr
1 of 1 pages
University of Rochester
Department of Electrical & Computer Engineering
ECE113
Final Examination

51003
In this examination, you are permitted one (1) sheet of notes 8.5" 11" in size. You may also use a
handheld calculator. For partial cr
1 of 3 pages
O ld exam questions for ECE113 Midterm #1
1)
Consider an AC circuit consisting of parallel and seriesconnected
components, Y1, Y2 , and Z3, as shown in the figure below.
The input voltage is v(t) = 10 cos(t), with f = 60 Hz. The components
1 of 1 pages
University of Rochester
Department of Electrical & Computer Engineering
Examination #2
ECE113
41112
This is a closedbook examination, but you may use a handheld calculator. Absolutely no wireless
devices are permitted. Do all work in the