DEPARTMENT OF ELECTRICAL ENGINEERING
THIRD SEMESTER ,(EE/EEE)
SUBJECT:NETWORK THEORY
SUBJECT CODE-1303
SYLLABUS :NETWORK THEORY (3-1-0)
MODULE-I (10 HOURS)
Coupled Circuits: Self-inductance and Mutual inductance, Coefficient of coupling, dot convention, Ideal
Transformer, Analysis of multi-winding coupled circuits, Analysis of single tuned and double tuned
coupled circuits.
Transient study in RL, RC, and RLC networks by Laplace transform method with DC and AC excitation.
Response to step, impulse and ramp inputs.
Two Port networks: Two port parameters, short circuit admittance parameter, open circuit impedance
parameters, Transmission parameters, Image parameters and Hybrid parameters. Ideal two port devices,
ideal transformer. Tee and Pie circuit representation, Cascade and Parallel Connections.
MODULE-II (10 HOURS)
Network Functions & Responses: Concept of complex frequency, driving point and transfer functions for
one port and two port network, poles & zeros of network functions, Restriction on Pole and Zero
locations of network function. Impulse response and complete response.
Time domain behavior form pole-zero plot.
Three Phase Circuits: Analysis of unbalanced loads, Neutral shift, Symmetrical components, Analysis of
unbalanced system, power in terms of symmetrical components
MODULE-III (10 HOURS)
Network Synthesis: Realizability concept, Hurwitz property, positive realness, properties of positive real
functions, Synthesis of R-L, R-C and L-C driving point functions, Foster and Cauer forms
MODULE-IV (10 HOURS)
Graph theory: Introduction, Linear graph of a network, Tie-set and cut-set schedule, incidence matrix,
Analysis of resistive network using cut-set and tie-set, Dual of a network.
Filters: Classification of filters, Characteristics of ideal filters
BOOKS
[1]. Mac.E Van Valkenburg, “Network Analysis”,
[2]. Franklin Fa-Kun. Kuo, “Network Analysis & Synthesis”, John Wiley & Sons.
,[3]. M. L. Soni, J. C. Gupta, “A Course in Electrical Circuits and Analysis”,
[4]. Mac.E Van Valkenburg, “Network Synthesiss”,
[5]. Joseph A. Edminister, Mahmood Maqvi, “Theory and Problems of Electric Circuits”, Schaum's
Outline Series, TMH
, MODULE- I (10 hrs)
1.Magnetic coupled circuits. (Lecture -1)
1.1.Self inductance
When current changes in a circuit, the magnetic flux linking the same circuit changes and e.m.f
is induced in the circuit. This is due to the self inductance, denoted by L.
di
V L
dt
FIG.1
1.2.Mutual Inductance
The total magnetic flux linkage in a linear inductor made of a coil is proportional to the
current
passing through it; that is,
, Fig. 2
Li
. By Faraday‟s law, the voltage across the inductor is equal to the time derivative of the total
influx linkage; given by,
di d
L N
dt dt
1.3. Coupling Coefficient
A coil containing N turns with magnetic flux Ø_ linking each turn has total magnetic flux
linkage λ=NØ
. By Faraday‟s law, the induced emf (voltage) in the coil is
d d
e N
dt dt
. A negative sign is frequently included in this equation to signal that the voltage polarity is
established according to Lenz‟s law. By definition of self-inductance this voltage is also given by
Ldi=dtÞ; hence,
The unit of flux(Ø) being the weber, where 1 Wb = 1 V s, it follows from the above relation that
1 H = 1 Wb/A. Throughout this book it has been assumed that Ø and i are proportional to each
other, making
L = (NØ) /I = constant
Fig.3
In Fig.3 , the total flux resulting from current i1 through the turns N1 consists of leakage flux,
THIRD SEMESTER ,(EE/EEE)
SUBJECT:NETWORK THEORY
SUBJECT CODE-1303
SYLLABUS :NETWORK THEORY (3-1-0)
MODULE-I (10 HOURS)
Coupled Circuits: Self-inductance and Mutual inductance, Coefficient of coupling, dot convention, Ideal
Transformer, Analysis of multi-winding coupled circuits, Analysis of single tuned and double tuned
coupled circuits.
Transient study in RL, RC, and RLC networks by Laplace transform method with DC and AC excitation.
Response to step, impulse and ramp inputs.
Two Port networks: Two port parameters, short circuit admittance parameter, open circuit impedance
parameters, Transmission parameters, Image parameters and Hybrid parameters. Ideal two port devices,
ideal transformer. Tee and Pie circuit representation, Cascade and Parallel Connections.
MODULE-II (10 HOURS)
Network Functions & Responses: Concept of complex frequency, driving point and transfer functions for
one port and two port network, poles & zeros of network functions, Restriction on Pole and Zero
locations of network function. Impulse response and complete response.
Time domain behavior form pole-zero plot.
Three Phase Circuits: Analysis of unbalanced loads, Neutral shift, Symmetrical components, Analysis of
unbalanced system, power in terms of symmetrical components
MODULE-III (10 HOURS)
Network Synthesis: Realizability concept, Hurwitz property, positive realness, properties of positive real
functions, Synthesis of R-L, R-C and L-C driving point functions, Foster and Cauer forms
MODULE-IV (10 HOURS)
Graph theory: Introduction, Linear graph of a network, Tie-set and cut-set schedule, incidence matrix,
Analysis of resistive network using cut-set and tie-set, Dual of a network.
Filters: Classification of filters, Characteristics of ideal filters
BOOKS
[1]. Mac.E Van Valkenburg, “Network Analysis”,
[2]. Franklin Fa-Kun. Kuo, “Network Analysis & Synthesis”, John Wiley & Sons.
,[3]. M. L. Soni, J. C. Gupta, “A Course in Electrical Circuits and Analysis”,
[4]. Mac.E Van Valkenburg, “Network Synthesiss”,
[5]. Joseph A. Edminister, Mahmood Maqvi, “Theory and Problems of Electric Circuits”, Schaum's
Outline Series, TMH
, MODULE- I (10 hrs)
1.Magnetic coupled circuits. (Lecture -1)
1.1.Self inductance
When current changes in a circuit, the magnetic flux linking the same circuit changes and e.m.f
is induced in the circuit. This is due to the self inductance, denoted by L.
di
V L
dt
FIG.1
1.2.Mutual Inductance
The total magnetic flux linkage in a linear inductor made of a coil is proportional to the
current
passing through it; that is,
, Fig. 2
Li
. By Faraday‟s law, the voltage across the inductor is equal to the time derivative of the total
influx linkage; given by,
di d
L N
dt dt
1.3. Coupling Coefficient
A coil containing N turns with magnetic flux Ø_ linking each turn has total magnetic flux
linkage λ=NØ
. By Faraday‟s law, the induced emf (voltage) in the coil is
d d
e N
dt dt
. A negative sign is frequently included in this equation to signal that the voltage polarity is
established according to Lenz‟s law. By definition of self-inductance this voltage is also given by
Ldi=dtÞ; hence,
The unit of flux(Ø) being the weber, where 1 Wb = 1 V s, it follows from the above relation that
1 H = 1 Wb/A. Throughout this book it has been assumed that Ø and i are proportional to each
other, making
L = (NØ) /I = constant
Fig.3
In Fig.3 , the total flux resulting from current i1 through the turns N1 consists of leakage flux,
