all syllabus in single    Click here to download all in PDF

University of Mumbai

Class: S.E. Branch:Instrumentation Semester: III
Subject: Electrical Networks (abbreviated as EN)
Periods per Week(60 min. each)


*Practical 02
Hours Marks
Evaluation System


03 100
Practical and Oral



Term Work



03 150

* Only tutorials should be conducted.




1. Networks TheoremsAnalysis of networks with dependent & independent sources,mesh analysis, nodal analysis, source transformation technique, superposition theorem, Thevenin’s theorem, Norton’s theorem, maximum  power transfer theorem, solution of networks with AC  sources.  Analysis  of  coupled  circuits  (self  inductance, mutual inductance, and dot convention) 12
2. Graph TheoryIntroductory definition – Graph of a network, trees, co-trees, loops.   Incidence  matrix,  loop  matrix  and  cutest  matrix. Network equilibrium equations, Duality. 06
3. Time and Frequency response of circuitsVoltage/current relations for R, L, C & their equations in timedomain.  Initial  and  final  conditions, first  and  second  order differential   equations,  steady  state  and  transient  response. Analysis of transient and steady state responses using Classical technique  as  well  as  by  Laplace  transforms.  Steady  state response to step, ramp, impulse & sinusoidal input functions. 10
4. Network Functions & Two-Port NetworkNetwork functions- driving point and transfer functions. Poles and   zeros,   time   domain   behavior  from   pole   zero   plot. Concept  of  two  port  network.  Open  circuit  impedance  (Z) parameters,     Short        circuit      admittance(Y)      parameters, transmission     (ABCD) parameters, inverse            transmission parameters,   hybrid    parameters. Interrelation          of   different parameters.        Interconnection  of two port networks, T and  representation. Terminated two-port networks. 10


5.                    Fundamentals of Network Synthesis.                                           10

Casuality  and  stability,  Hurwitz  polynomials,  positive  real

functions, synthesis of one port networks with two kinds of elements.  Properties  & synthesis of  L-C, R-C,  R-L driving point impedances, synthesis of R-L-C functions.

Properties of transfer functions, zeros of transmission,

synthesis of Y21 and Z21 with a 1-Ohm termination, synthesis of constant – resistance networks.



Theory Examination:

1.         Question paper will consist of total 7 questions carrying 20 marks each.

2.         Only 5 questions need to be attempted.

3.         Q.1 will be compulsory and based on the entire syllabus.

4.         Remaining questions will be mixed in nature.

5.         In  question  paper  weightage  of  each  module  will  be  proportional  to  the number of respective lecture hours as mentioned in the syllabus.



Oral Examination:

The oral will be based on the entire subject.

Term work:

Term work consists of minimum ten tutorials properly recorded and graded as well as

assessed test paper(s). The distribution of the term work shall be as follows, Laboratory work (Tutorials)                                                                                :10 marks

Test (at least one)                                                                    :10 marks

Attendance (Tutorials and Theory)                                         :05 marks

The final certification and acceptance of term-work ensures the satisfactory performance of laboratory work and minimum passing in the term-work.



List of Tutorials:

1.  Examples indicating concept of super loop and super node.

2.  Examples of indicating the application of thevenin,s and Norton,s theorem in presence of dependent sources.

3.  The incidence, Cut-set, Tieset, F-Cutest and F-Tie-Set Matrices should be written for given graph.

4.  Examples on evaluating the transient and steady-state conditions for a R-L-C series or parallel  connections for different values of resistance. The concept of overdamped,       critically   damped,                        underdamped,            oscillatory   and                              unbounded response should become clear from this problems.

5.  Examples on evaluating the transient and steady-state conditions for a R-L, R-C

circuits for DC conditions.

6.  Evaluating the above examples using Laplace Transform.

7.  Examples on Hurwitz Polynomial. Necessary and sufficient condition for Positive real function.

8.  Examples on realization of R-L, R-C, L-C functions.

9.  Examples on synthesis of R-L-C function.

10. Examples on the synthesis of Y21 and Z21 with a 1 ohm termination.


Text Books:

1. Kuo Franklin F., Network analysis & synthesis, 1st  ed., Wiley International, 1962.

2. Van Valkenburg M.E., Network analysis, 3rd ed., Eastern Economy Edition, 1983.


Referance Books:

1. Roy Chaudhary D., Network & systems, Wiley Eastern Limited, 1991.

2. Hayt William, Kemmerly Jr.Jack E., Engineering circuit Analysis, 6th ed., Tata

McGraw Hill, New Delhi 2002.

3. Edminister Joseph A., Nahvi Mohmood, Electric Circuits, 3rd ed., Tata McGraw Hill

New Delhi 1999.

4. Shyammohan Sudhakar, Circuits & Networks Analysis & Synthesis, 13th reprint, Tata

McGraw Hill, 2000

5. Bruce Carsion A., Circuits, Brooks/Cole Thomson Learning, 2000.

6. Dav Artice M., Linear Circuits Analysis, PWS Publishing company, 1998.

7. Alexander Charlesk, Mathew N.O., Sadlku, Fundamentals of Electric Circuits, McGraw Hill, 2000.


all syllabus in single    Click here to download all in PDF