SYLLABUS. osmania university CHAPTER - 1 : TRANSIENT RESPONSE CHAPTER - 2 : LAPLACE TRANSFORM OF SIGNALS

Transcription

1 i SYLLABUS osmania university UNIT - I CHAPTER - 1 : TRANSIENT RESPONSE Initial Conditions in Zero-Input Response of RC, RL and RLC Networks, Definitions of Unit Impulse, Unit Step and Ramp Functions, Zero State Response with Impulse and Step Inputs. Complete Response of Circuits with Initial Conditions and Forcing Functions such as Step, Exponential and Sinusoidal Functions. UNIT - II CHAPTER - 2 : LAPLACE TRANSFORM OF SIGNALS Laplace Transform Pair, Evaluation of Laplace Transforms of Common Time Functions in Particular Delta, Unit Step, Ramp, Sinusoids and Exponential Functions and Building of Laplace Transform Tables, Laplace Transform Theorems Relating Time Shifting Differentiation, Integration and Convolution of Time Functions, Initial and Final Value Theorems, Waveform Synthesis, Partial Fraction Expansion Method of Obtaining Inverse Transforms. UNIT - III CHAPTER - 3 : APPLICATION OF LAPLACE TRANSFORM FOR CIRCUIT ANALYSIS Application of Laplace Transform for Circuit Analysis, Concept of Transfer Function, Pole, Zero Plots. UNIT - IV CHAPTER - 4 : FOURIER SERIES Fourier Series Representation of Periodic Functions using both Trigonometric and Exponential Functions, Symmetry Conditions.

2 iii electrical circuits ii ii FOR b.e. (o.u) Ii year ii semester (ELECTRICAL AND ELECTRONICS ENGINEERING) CONTENTS UNIT - I [CH. H. - 1] ] [TRANSIENT RESPONSE] INTRODUCTION... METHODS OF TRANSIENT ANALYSIS YSIS....1 Finding the Solution of Differential Equations Solution for a First Order System with DC Input.... Solution for a First Order System with AC Input Solution for a Second Order System with AC (or) DC Input INITIAL CONDITIONS Initial Conditions in Elements Final Steady State Conditions Procedure for Finding the Initial Conditions Solved Problems DC TRANSIENTS Transient Response of Series RL Circuit for DC Excitation Transient Response of Driven Series RL Circuit Transient Response of Undriven Series RL Circuit Solved Problems

3 v Rectangular Pulse Unit Area Triangular Function Exponential Function Sinusoidal Signals Exponential Damped Sinusoidal Signal Signum Function Relation Between u(t) and sgn(t) Sinc Function ZERO STATE TE RESPONSE WITH IMPULSE FUNCTION RL Circuit RC Circuit RLC Circuit COMPLETE RESPONSE OF CIRCUITS WITH INITIAL CONDITIONS AND STEP FORCING FUNCTION COMPLETE RESPONSE OF CIRCUITS WITH INITIAL CONDITIONS AND EXPONENTIAL FORCING FUNCTION COMPLETE RESPONSE OF CIRCUIT WITH CONDITIONS AND SINUSOIDAL FORCING FUNCTIONS Short Questions and Answers Expected University Questions with Answers UNIT - II [CH. - 2] ] [LAPLACE TRANSFORM OF SIGNALS] INTRODUCTION DEFINITION OF LAPLACE TRANSFORM Existence of Laplace Transform Concept of Region of Convergence (ROC) for Laplace Transforms Properties of ROC Advantages of Laplace Transform Disadvantages of Laplace Transform

4 vii Periodicity Property roperty First Shifting Theorem Second Shifting Theorem Solved Problems using Properties of Laplace Transform ransform LAPLACE TRANSFORM TABLE WAVEFORM SYNTHESIS PARTIAL FRACTION EXPANSION METHOD OF OBTAINING INVERSE LAPLACE TRANSFORM Simple and Real Roots Multiple Roots Complex Roots Solved Problems Short Questions and Answers Expected University Questions with Answers UNIT - III [CH.. - 3] ] [APPLICA APPLICATION OF LAPLACE TRANSFORM FOR CIRCUIT ANALYSIS YSIS] INTRODUCTION CONCEPT OF COMPLEX FREQUENCY APPLICATION OF LAPLACE CE TRANSFORM TO O ELECTRIC NETWORKS Transforms of Basic R, L and C Components Transforms of RL,, RC and RLC Networks RL Circuit RC Circuit RLC Circuit Solved Problems

5 ix 4.5 RELATION BETWEEN TRIGONOMETRIC AND EXPONENTIAL FOURIER SERIES SYMMETRY CONDITIONS Even Symmetry Odd Symmetry Half-Wave ave Symmetry Quarter-Wave ave Symmetry Summary of Waveform Symmetry PROPERTIES OF CONTINUOUS TIME FOURIER SERIES Linearity Time Shifting Frequency Shifting Time Scaling Time Reversal Time-Differentiation Time-Integration Multiplication in Time-Domain Conjugation and Conjugate Symmetry Parseval s Theorem COMPLETE RESPONSE TO O PERIODIC FORCING FUNCTIONS Solved Problems Short Questions and Answers Expected University Questions with Answers UNIT - IV [CH. - 5] ] [FOURIER TRANSFORM] INTRODUCTION DERIVING FOURIER TRANSFORM FROM FOURIER SERIES Definition of Fourier Transform Existence of Fourier Transform

6 xi 5.5 FOURIER TRANSFORM REPRESENTATION TION OF PERIODIC SIGNAL SPECTRAL CONTENT OF A SIGNAL AMPLITUDE AND PHASE SPECTRA ENERGY DENSITY SPECTRUM Parseval s Theorem for Energy Signals Energy Spectral Density (ESD) Energy Spectral Densities of Input and Output Properties of Energy Spectral Density BANDWIDTH OF A SIGNAL POWER DENSITY SPECTRUM Parseval s Theorem for Power Signals Power Spectral Density (PSD) Properties of PSD SYSTEM FUNCTION AND ITS APPLICATION IN DETERMINING STEADY-ST STATE TE RESPONSE Solved Problem Short Questions and Answers Expected University Questions with Answers UNIT - V [CH. - 6] ] [NETWORK SYNTHESIS] INTRODUCTION HURWITZ POLYNOMIAL Properties of Hurwitz Polynomial olynomial Routh-Hurwitz Method (or) Routh outh s Criterion Solved Problems POSITIVE REAL FUNCTIONS Proof for Z(s) to be Positive Real Function unction Properties of Positive Real Functions

7 xiii 6.7 SYNTHESIS OF DRIVING POINT IMMITTANCE FUNCTION OF RL NETWORK Properties of RL Driving Point Immittance Function unction Realization of Immittance Functions of RL Networks Foster I Form Foster II Form Cauer I Form Cauer II Form Solved Problems Short Questions and Answers Expected University Questions with Answers LATEST UNIVERSITY QUESTION PAPER WITH ANSWERS [April/May ] [New] [Main]... QP.1 - QP.8