ELEC 300
Linear Circuits: II
Spring 2016
Dr. Jens Bornemann
ELEC 250 — Linear Circuit: I
 Sources, resistors, capacitors, inductors, coupled inductors and ideal
transformer
 Kirchhoff's voltage and current laws
 Series and parallel connections, stored energy, initial values
 Theorems — Linearity, superposition, Thevenin, Norton
 Circuit analysis and design techniques — Node and loop analysis
 Analysis and design of first- and second-order circuits using differential
equations
 Forced and natural responses
 Phasors, impedance, admittance and network theorems using phasors
 Series and parallel resonance
 RMS quantities, complex power, maximum power transfer
 Three-phase circuits, Y- and -loads
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ELEC 260 — Signal Analysis
 Continuous time signals and waveform calculations
 Fourier series in the analysis of periodic signals
 Impulse and other elementary functions
 Resolution of signals into impulse and unit step functions
 Fourier transform in spectral analysis
 Functions of a complex variable
 Analytic functions and partial fractions
 Laplace transform in the representation of signals
 Interrelation between the Fourier and Laplace transforms
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ELEC 300 — Course Website
Will be revealed in class
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Laboratory Manual
ELEC 300 Linear Circuits: II
Poman So and Adam Zielinski
Revised in January 2013
Experiments
Exp-1: Dependent Sources
Exp-2: Frequency Response of Linear Systems
Exp-3: Time-Domain Responses
Exp-4: Analysis and Applications of Active Networks
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Experiment-1

To introduce an ideal operational amplifier (op.amp.) and
methods of analyzing circuits with op-amp.

To construct and test simple dependent sources using an
operational amplifier.
Ro  0
vi
Ri  
vo  kvi
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VCVS
v
io
v
R2
vi
RL
vo
i2
R1
i1
R1  R2  1 k
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Experiment-2
 To investigate the frequency response (amplitude and phase) of
linear systems and its relationship with the pole-zero diagram.
 To introduce the logarithmic representation of frequency plots
(Bode plots), and their approximation.
 To design a simple network and investigate its properties in the
frequency domain.
ZR  R
X (s )
1
ZC 
sC
Y (s )
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Bode Plot
1
1
H  j 
2

o
 45
  j 
 90
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Straight-Line Bode Plot
Corner frequency
H  j  dB
0 dB
 3 dB
Slope = –20dB/dec
 20 dB
0.1 o
o
10 o

0
log-scale
 45
 90
  j 
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Experiment-3
 To familiarize students with an active realization of a second-order
system.
 To study its time-domain response to various excitations.
 To introduce a digital oscilloscope as a convenient device to
capture and display aperiodic signals.
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A Second-Order System
C1
+
R1
R2
+
x(t )
C2
–
Rb
Ra
G  1
Ra
Rb
y (t )
–
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Normalized Step Response of a Second-Order System
a ( )
a ( )
Ov : Overshoot
1

p 
o 
0

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Experiment-4
 To introduce the s-domain network analysis and to illustrate it on
several useful active circuits.
 Inverting Voltage Amplifier
 Inverting Adder
C
 Inverting Integrator
 Summing Integrator
R1
v1 (t )
v2 (t )
R2
vo (t )
(d) Summing Integrator : C  16 nF, R1  R2  10 k
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Laboratory Marking Scheme
 Attendance is compulsory, no show means 0% for the lab
 Preparation and Performance
20%
 Results
50%
 Clarity of the Report
30%
 Late Report Penalty
5% per day
Note: Failure to complete all laboratory requirements will
result in a grade of N being awarded for the course.
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Tutorials
 Informal
 Six hours total  four 1 ½ hour tutorials
 Two tutorials will be scheduled before the midterm test
 Two tutorials will be scheduled before the final exam
 Tutor: Mohammad Ghasemiahmadi
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