# NIT Calicut IV Sem Syllabus

**EE2005 CIRCUITS & NETWORKS**

**Pre-requisites: ZZ1001 Basic Electrical Sciences**

**EE1001 Introduction to Electrical Engineering**

Total Hours: 42 Hours

Module 1: – Circuit Analysis in Time-domain and s-domain (10 hours)

Time Domain Analysis of Circuits –

Solution of multi-mesh and multi-node circuits (containing RLCM and linear dependent sources) by differential

equation method – Determination of initial conditions – Obtaining step response and ramp response of circuits

from impulse response – Generalization of time-domain analysis technique for higher order circuits-

[Review of Laplace Transforms – Laplace Transform -Transform Pairs-Gate Functions-Shifting Theorem-

Solution of Differential Equations by Laplace Transforms – Initial and Final Value Theorems-Laplace

Transforms of periodic signals-Inversion of transforms by partial fractions-Convolution Theorem and

Convolution Integral. (Review to be done by students. No class hour will be spent for this review. Home

assignments will be given.)]

s-domain Analysis of Circuits – Transformed equivalent of inductance, capacitance and mutual inductance –

Impedance and admittance in the transform domain – concept of the transformed circuit in s-domain –

Node Analysis and Mesh Analysis of the transformed circuit – Nodal Admittance Matrix and Mesh Impedance

Matrix in the s-domain

Solution of transformed circuits with mutual inductance – step response of an ideal trnsformer – step response of

a non-ideal transformer – flux expulsion by short circuited winding –instantaneous change in current in coupled

coil systems.

Generalization of Circuit theorems –

Input and transfer immittance functions – Transfer functions – Impulse response and Transfer function – Poles

and Zeros – Pole Zero plots – Stability and poles

Module 2: – Sinusoidal Steady-State Frequency Response (12 hours)

Concept of sinusoidal steady-state and frequency response function – frequency response function as a complex

function of w as evaluated from phasor equivalent circuit – frequency response function from s-domain transfer

and immittance functions – explanation for substituting s = jw in s-domain transfer function to get frequency

response function – frequency response of first order circuits – concept of cut-off frequencies and bandwidth –

Series and parallel RC circuits as an averaging filter (for current signal and voltage signal), low-pass filter, highpass

filter, integrator, differentiator, signal coupling circuit, signal bypassing circuit etc. –

Graphical evaluation of frequency response function from pole-zero plots, introduction to filtering and

illustration of graphical evaluation of frequency response function from pole-zero plots in the case of standard

second order filter functions using Series RLC and Parallel RLC Circuits – frequency response specifications for

second order functions – correlation between time-domain specs and freq-domain specs in the case of first order

and second order circuits.

Frequency response and bandwidth of cascaded first order circuits with interaction between stages and without

interaction between stages.

Bode plot approximation – Transfer function from frequency response data –

Frequency response of an ideal and non-ideal two-winding transformer, tank circuits.

Steady-state analysis of three-phase balanced loads excited by three-phase unbalanced sources – symmetrical

transformation – sequence components – sequence impedances – sequence decoupling – power in sequence

components.

Module 3: – Fourier Analysis of Circuits (10 hours)

Fourier Series representation of non-sinusoidal periodic waveforms

[(revision) – Fourier Coefficients-Determination of Coefficients-Waveform Symmetry-Exponential Fourier

Series – Discrete Amplitude and Phase Spectra-(Review to be done by students. No class hour will be spent for

this review. Home assignments will be given.)]

Steady State Solution of Circuits with non-sinusoidal periodic inputs by Fourier Series and frequency response

function, power and rms value of non-sinusoidal waveforms, Discrete Power Spectrum, THD measure for

waveforms. – Application of tuned series LC and parallel LC structures in Power Systems – Application of

parallel RLC circuit in Communication circuits – Application of LC circuits in power supply filtering –

Application of RLC circuit in power supply decoupling.

Fourier Transforms

[(revision) – Aperiodic inputs – Fourier Transform from Fourier Series , properties of Fourier Transforms,

Fourier Spectra(Review to be done by students. No class hour will be spent for this review. Home assignments

will be given.)]

Energy spectral density of finite energy waveforms – Parseval’s theorem – energy spectral density of output

waveform of a circuit – Relation between impulse response and frequency response of a circuit – Frequency

response of Ideal filter functions – why ideal filters can not be realised – time-limited waveforms and continuous

nature of their Fourier transforms – band limited Fourier transforms and corresponding time-domain signals –

bandwidth measures for Fourier transforms – uncertainty principle in Fourier transforms –

Linear distortion in signal transmission context – amplitude and phase distortion – conditions for distortion-free

transmission – why such conditions can not be met in practice – Practical distortion criterion for pulse

transmission in terms of energy content of output.

Module 4: Two-port Networks and Passive Filters (10 hours)

Two Port Networks – Two port networks-characterization in terms of impedance, admittance, hybrid and

transmission parameters – inter relationships among parameter sets – Reciprocity Theorem-Interconnection of

Two port networks: Series, Parallel and Cascade – Input impedance, output impedance and gain of terminated

two-ports in terms of two-port parameters and termination impedance – Application of y, z, g and h parameters

in the analysis of negative feedback systems – Application of ABCD parameters in the power frequency analysis

of transmission lines – T and P models for a line.

Symmetrical Two Port Networks – T and P Equivalent of a two port network – T and P equivalents for Ladder

networks, transmission lines, amplifiers etc., iterative impedance and image transfer constant, image impedance

– determination of image parameters from open circuit and short circuit impedance measurements –

characteristic impedance and propagation constant of a symmetrical two port network – properties of a

symmetrical two port network.

Symmetrical Two Port Reactive Networks as Filters – Filter fundamentals-pass and stop bands-behaviour of

iterative impedance-Constant-k low pass filter-Constant-k high pass filter- m-derived T and P sections and their

applications for infinite attenuation and filter terminations-constant-k band pass and band elimination filters.

Text/Reference Books :

1. K.S. Suresh Kumar, ‘Electric Circuits and Networks’ , Pearson Education, New Delhi, 2009

2. M.E. Van Valkenburg, ‘Network Analysis’, Prentice-Hall India, 3rd Edn, 2010

3. William H. Hayt, Jack E. Kemmerly, ‘Engineering Circuit Analysis’, McGraw-Hill,6th Edn

4. John D. Ryder, ‘Networks, Lines and Fields’ , 2nd Edn, Prentice-Hall India, 1989

5. K. V. V. Murthy, M.S. Kamath, ‘Basic Circuit Anaysis’,Tata McGraw-Hill, 1989

6. Charles A. Desoer, Ernest S. Kuh, ‘Basic Circuit Theory’, McGraw-Hill, New York, 1969

EE2006 APPLIED ELECTROMAGNETICS

Pre-requisites : Nil

L T P C

3 0 0 3

Total Hours : 42 Hours

Module 1: (12 Hrs)

The Co-ordinate Systems; Rectangular, Cylindrical, and Spherical Co-ordinate System. Co-ordinate

transformation. Gradient of a Scalar field, Divergence of a Vector field and Curl of a Vector field. Their Physical

interpretation. The Laplacian. Divergence Theorem, Stokes’ Theorem. Useful Vector identifies

Electrostatics : The experimental law of Coulomb, Electric field intensity. Field due to a line charge, Sheet

Charge and Continuous Volume Charge distribution. Electric Flux and Flux Density; Gauss’s law.

Application of Gauss’s law. Energy and Potential . The Potential Gradient. The Electric dipole. The

Equipotential surfaces. Energy stored in an electrostatic field. Boundary Conditions. Capacitors and

Capacitances. Poisson’s and Laplace’s equations. Solutions of Simple Boundary value problems. Method of

Images.

Module 2: (10 Hrs)

Steady Electric Currents: Current densities , Resistance of a Conductor; The Equation of Continuity . Joules law.

Boundary Conditions for Current densities. The EMF. Magnetostatics : The Biot-Savart law. Amperes’ Force

Law . Torque exerted on a current carrying loop by a magnetic field. Gauss’s law for magnetic fields. Magnetic

Vector Potential . Magnetic Field Intensity and Ampere’s Circuital law. Boundary conditions. Magnetic

Materials . Energy in magnetic field . Magnetic circuits. Application to cathode Ray Oscilloscope.

Module 3: (10 Hrs)

Faraday’s Law of Induction; Self and Mutual inductance . Maxwell’s Equations from Ampere’s and Gauss’s

Laws. Maxwell’s Equations in Differential and Integral forms; Equation of Continuity. Concept of Displacement

Current, Electromagnetic Boundary Conditions.

Poynting’s Theorem , Time – Harmonic EM Fields . Application to Transformer. Plane wave Propagation :

Helmholtz wave Equation. Plane wave solution. Plane wave propagation in lossless and lossy dielectric medium

and conducting medium . Plane wave in good conductor, surface resistance , depth of penetration. Polarization of

EM wave – Linear, Circular and Elliptical polarization. Normal and Oblique incidence of linearly Polarized wave

at the plane boundary of a perfect conductor, Dielectric – Dielectric Interface . Reflection and Transmission Coefficient

for parallel and perpendicular polarizations , Brewstr angle.

Module 4: (10Hrs)

The TEM wave and the transmission line limit – Transmission Lines: The high-frequency circuit. Time domain

reflectometry. LCR ladder model for transmission lines. The transmission line equation. Analogy with wave

equation. Solution for lossless lines. Wave velocity and wave impedence. Reflection and Transmission

coeffcients at junctions. VSWR. Introduction to electromagnetic interference and compatibility

Text/Reference Books:

1. Nannapaneni Narayana Rao, “Elements of Engineering Electromagnetics”, Prentice Hall of India.

2. Elements of Electromagnetic by Mathew N. O. Sadiku, Publisher Oxford University Press.

3. Fields and Wave Electromagnetics, By David K. Cheng, 2nd Edition , Publisher : Pearson

Education.

4. Electromagnetics By John D Kraus , (Mcgraw-Hill )