Wiley Acing The Gate: Electrical Engineering, 2ed (Combo)

Dr.Debashis Chatterjee

ISBN: 9788126570669

2116 pages

INR 1510

Description

Wiley’s Acing the GATE Examination in Electrical Engineering is intended to be the complete book for those aspiring to compete in the Graduate Aptitude Test in Engineering (GATE) in Electrical Engineering discipline. It comprehensively covers all the topics as prescribed in the latest GATE syllabus in terms of study material, quick reference material and an extensive question bank, complete with solutions. The book offers a number of useful features and the approach is logical concept building rather than only formula based, as offered by the other books generally published in this domain.



Wiley Acing the GATE: Engineering Mathematics and General Aptitude is intended to be the complete book for those aspiring to compete in the Graduate Aptitude Test in Engineering (GATE) in various engineering disciplines, including Electronics and Communication, Electrical, Mechanical, Computer Science, Civil, Chemical and Instrumentation, comprehensively covering all topics as prescribed in the syllabus in terms of study material and an elaborate question bank. The book presents the subjects of Engineering Mathematics and General Aptitude in a systematic, structured and precise manner.


Preface
About the Authors
Acing the GATE 2018
Syllabus for Electrical Engineering (EE)

Section 1:  Electric Circuits
1.  Electric Circuits
Circuit Concepts and Laws
Circuit Analysis Techniques
Topology
Network Theorems
Laplace Transform
Transient Response to DC and AC Networks
Sinusoidal Steady State Analyses Using Phasors
Magnetically Coupled Circuits
Resonance
Filters
Three-Phase Circuits
AC Power Analysis
Two-Port Network

Section 2:  Electromagnetic Fields
2 Electromagnetic Fields
Coulomb’s Law
Electric Field Intensity
Electric Flux Density
Divergence and Curl
Divergence and Stokes’ Theorems
Gauss’ Law
Electric Field and Potential
Capacitance
Magnetic Flux and Magnetic Field
Biot—Savart Law
Ampere’s Law
Faraday’s Law and Lenz’s Law of Electromagnetic Induction
Lorentz Force
Maxwell’s Equations
Poynting Vector
Inductance
Self and Mutual Inductance for Simple Configurations
Magnetic Circuit and Magnetomotive Force
Important Formulas
Solved Examples
Practice Exercises
Answers to Practice Exercises
Solved GATE Previous Years’ Questions

Section 3:  Signals and Systems
3 Signals and Systems
Elementary Signals
Classification of Signals
System
Time Domain Representation of Linear Time Invariant System
Continuous-Time Fourier Series
Discrete-Time Fourier Series
Continuous-Time Fourier Transform
Discrete-Time Fourier Transform
Discrete Fourier ­Transform (DFT) and Fast Fourier ­Transform (FFT)
Sampling Theorem for Continuous-Time Signal
Laplace Transform
Z-Transform and its Application to the Analysis of LTI System

Section 4:  Electrical Machines
4 Electrical Machines
Transformer
DC Machines
Three Phase Induction Machines
Single-Phase Induction Motor
Synchronous Machines
Stepper and Servo Motors
    
Section 5:  Power Systems
5 Power Systems
Power Generation Concepts
Transmission Line Parameters
Transmission Lines
AC and DC Transmission Concepts
Insulated Cables
Electric Line Insulators
Distribution Systems
PU (Per Unit System)
Bus Admittance Matrix
Voltage Control
Frequency Control
Power System Stability Concepts
Power Factor Correction
Symmetrical Components
Faults
Relays
Protection
Circuit Breakers
High Voltage Direct Current Transmission

Section 6:  Control Systems
6 Control Systems
Fundamentals
Time-Response Analysis
Stability of Control Systems
Root Locus Technique
Frequency Response Analysis
Bode Plots
Compensators
State Space Representation

Section 7:  Electrical and Electronic Measurements
7 Electrical and Electronic Measurements
Classification of Measuring Instruments
Types of Indicating Instruments
Bridges and Potentiometers
Measurement of Current and Voltage
Measurement of Power and Energy
Instrument Transformers
Digital Voltmeters and Multimeters
Cathode Ray Oscilloscope
Q-Meter
Transducers
Error Analysis

Section 8A:  Analog Electronics
8 Analog Electronics
Semiconductor Physics
Semiconductor Diodes
Transistors
Field-Effect Transistor (JFET and MOSFET)
Simple Diode Circuits
Stability and Biasing
Amplifiers
Frequency Response
Active Filters
Oscillators
Multivibrators

Section 8B:  Digital Electronics
9  Digital Electronics
Number Systems
Boolean Algebra
Logic Gates
Logic Families
Combinational Logic Circuits
Memory
Sequential Logic Circuits
D/A and A/D Converters
Microprocessors
8085 Microprocessors
Memory Interfacing

Section 9:  Power Electronics
10 Power Electronics
Power Semiconductor Devices
Bipolar Junction Transistor
Thyristors
TRIAC
Gate Turn-OFF Thyristor (GTO)
Power Metal Oxide Semiconductor Field Effect Transistors (MOSFETS)
Insulated Gate Bipolar Transistor (IGBT)
Performance Parameters
Converters: AC-DC Rectifiers
DC to DC Conversion
Important Formulas
Solved Examples
Practice Exercises
Answers to Practice Exercises
Solved GATE Previous Years’ Questions

Index


Preface

Engineering Mathematics
1 Linear Algebra
Matrix
Determinants
Solutions of Simultaneous Linear Equations
Augmented Matrix
Gauss Elimination Method
Cayley—Hamilton Theorem
Eigenvalues and Eigenvectors

2 Calculus
Limits
Properties of Limits
Continuity and Discontinuity
Differentiability
Mean Value Theorems
Fundamental Theorem of Calculus
Differentiation
Applications of Derivatives
Partial Derivatives
Integration
Methods of Integration
Definite Integrals
Improper Integrals
Double Integration
Change of Order of Integration
Triple Integrals
Applications of Integrals
Fourier Series
Vectors  
Line Integrals
Surface Integrals
Stokes’ Theorem
Green’s Theorem
Gauss Divergence Theorem
Solved Examples
Practice Exercise
Answers
Explanations and Hints
Solved GATE Previous Years’ Questions

3 Differential Equations
Introduction
Solution of a Differential Equation
Linear Differential Equation
Particular Integrals
Homogeneous Linear Equation
Bernoulli’s Equation
Euler—Cauchy Equations
Solving Differential Equations Using Laplace Transforms
Variation of Parameters Method
Separation of Variables Method
One-Dimensional Diffusion (Heat Flow) Equation
Second Order One-Dimensional Wave Equation
Two-Dimensional Laplace Equation
Solved Examples
Practice Exercises
Answers
Explanations and Hints
Solved GATE Previous Years’ Questions  
 
4 Complex Variables
Introduction
Complex Functions
Exponential Function of Complex Variables
Circular Function of Complex Variables
Hyperbolic Functions of Complex Variables
Logarithmic Function of Complex Variables
Limit and Continuity of Complex Functions
Derivative of Complex Variables
Cauchy—Riemann Equations
Integration of Complex Variables
Cauchy’s Theorem
Cauchy’s Integral Formula
Taylor’s Series of Complex Variables
Laurent’s Series of Complex Variables
Zeros and Poles of an Analytic Function
Residues
Residue Theorem
Calculation of Residues
Solved Examples
Practice Exercise
Answers
Explanations and Hints
Solved GATE Previous Years’ Questions

5 Probability and Statistics
 Fundamentals of Probability
 Types of Events
 Approaches to Probability
 Axioms of Probability
 Conditional Probability
 Geometric Probability
 Rules of Probability
 Statistics
 Arithmetic Mean
 Median
 Mode
 Relation between Mean, Median and Mode
 Geometric Mean
 Harmonic Mean
 Range
 Mean Deviation
 Standard Deviation
 Coefficient of Variation
 Probability Distributions
 Random Variable
 Properties of Discrete Distribution
Properties of Continuous Distribution  
Types of Discrete Distribution  
Types of Continuous Distribution  
Correlation and Regression Analyses  
Correlation  
Lines of Regression  
Hypothesis Testing  
Hypothesis Testing Procedures for Some Common Statistical Problems  
Hypothesis Testing of a Proportion  
Hypothesis Testing of a Mean  
Hypothesis Testing of Difference Between Proportions  
Hypothesis Testing of Difference Between Means  
Bayes’ Theorem  
Solved Examples  
Practice Exercise  
Answers  
Explanations and Hints  
Solved GATE Previous Years’ Questions  

6 Numerical Methods  
Introduction  
Numerical Solution of System of Linear Equations  
Gauss Elimination Method  
Matrix Decomposition Methods (LU Decomposition Method)  
Gauss—Jordan Method  
Iterative Methods of Solution  
Numerical Solution of Algebraic and Transcendental Equations  
Bisection Method  
Regula—Falsi Method (Method of False Position Method)  
Newton—Raphson Method  
Secant Method  
Jacobian  
Numerical Integration  
Newton—Cotes Formulas (General Quadrature)  
Rectangular Rule  
Trapezoidal Rule  
Simpson’s Rule  
Numerical Solution of Ordinary Differential Equation (O.D.E.)  
Picard’s Method  
Euler’s Method  
Runge—Kutta Method  
Euler’s Predictor—Corrector Method  
Accuracy and Precision  
Classification of Errors  
Significant Figures  
Measuring Error  
Propagation of Errors  
Method of Least Square Approximation
Lagrange Polynomials
Numerical Differentiation
Newton’s Forward Formula
Newton’s Backward Formula
Stirling’s or Bessel’s Formula
Solved Examples
Practice Exercise
Answers
Explanations and Hints
Solved GATE Previous Years’ Questions

7 Mathematical Logic
Introduction
Statements
Atomic Statements
Molecular Statements
Truth Table
Truth Values
Connectives
Types of Connectives
Well-Formed Formulas
Duality Law
Equivalent Well-Formed Formula
Logical Identities
Normal Form
Disjunction Normal Form
Conjunctive Normal Form
Propositional Calculus
Rules of Inference
Predicate Calculus
Predicates
Quantifier
Solved Examples
Practice Exercise
Answers
Explanations and Hints
Solved GATE Previous Years’ Questions

8 Set Theory and Algebra
Introduction to Set Theory
Subsets and Supersets
Equal Sets
Comparable Sets
Universal Set
Power Set
Types of Sets
Operations on Sets  
Important Laws and Theorems  
Venn Diagrams  
Operations on Sets Using Venn Diagrams  
Application of Sets  
Cartesian product of Sets  
Relations  
Types of Relations  
Properties of Relation  
Functions  
Types of Functions  
Compositions of Functions  
Introduction to Algebra  
Semigroups  
Some Important Theorems  
Group  
Some Important Theorems  
Residue Classes  
Residue Class Addition  
Residual Class Multiplication  
Partial Ordering  
Hasse Diagram  
Lattice  
Sublattice  
Bounds  
Boolean algebra of Lattices  
Solved Examples  
Practice Exercise  
Answers  
Explanations and Hints  
Solved GATE Previous Years’ Questions  

9 Combinatory  
Introduction  
Counting  
Fundamental Principle of Addition  
Fundamental Principle of Multiplication  
Permutations  
Conditional Permutations  
Permutations when all Objects are not Distinct  
Circular Permutations  
Combinations  
Properties of Combinations  
Conditional Combinations  
Generating Functions  
Ordinary Generating Function  
Exponential Generating Function
Poisson Generating Function
Recurrence Relation
Logistic Map
Fibonacci Numbers
Binomial Coefficients
Summation
Asymptotic Analysis
Solved Examples
Practice Exercise
Answers
Explanations and Hints
Solved GATE Previous Years’ Questions

10 Graph Theory
Introduction
Fundamental Concepts of Graph
Common Terminologies
Degree of a Vertex
Multigraph
Walks, Paths and Connectivity
Subgraph
Types of Graphs
Complete Graph
Regular Graph
Bipartite Graph
Tree Graph
Trivial Graph
Cycle
Operations on Graphs
Matrix Representation of Graphs
Adjacent Matrix
Incidence Matrix
Cuts
Spanning Trees and Algorithms
Kruskal’s Algorithm
Prim’s Algorithm
Binary Trees
Euler Tours
Konigsberg Bridge Problem
Hamiltonian Graphs
Closure of a Graph
Graph Isomorphism
Homeomorphic Graphs
Planar Graphs
Matching
Covering
Independent Set   
Graph Coloring   
Solved Examples   
Practice Exercise   
Answers   
Explanations and Hints   
Solved GATE Previous Years’ Questions  

Chapter 11 Transform Theory   
Introduction   
Laplace Transform   
Laplace Transform of Common Signals  
Properties of Laplace Transform  
Inverse Laplace Transform   
z -Transform   
z -Transform of Common Sequences  
Properties of z -Transform   
Inverse z-Transform   
Relationship between z-Transform and Laplace Transform  
Fourier Transform   
Convergence of Fourier Transforms  
Properties of Fourier Transform  
Solved Examples   
Practice Exercise   
Answers   
Explanations and Hints   
Solved GATE Previous Years’ Questions
 


General Aptitude: Verbal Ability  
1 English Grammar   
Articles   
Noun   
Use of Nouns in Singular Form  
Use of Nouns in Plural Form  
Conversion of Nouns from Singular to Plural  
Collective Nouns   
Pronoun   
Personal Pronoun   
Reflexive and Emphatic Pronoun  
Demonstrative Pronoun   
Indefinite Pronoun   
Distributive Pronoun   
Relative Pronoun   
Interrogative Pronoun   
Use of Pronouns
Adjective
Use of Adjectives
Preposition
Preposition of Time
Preposition of Position
Preposition of Direction
Other Uses of Preposition
Verbs
Use of Verb
Use of Infinitives
Use of Gerunds
Tenses
Use of Tenses
Adverbs
Practice Exercise

2 Synonyms
 Tips to Solve Synonym Based Questions
 
3 Antonyms
 Graded Antonyms
 Complementary Antonyms
 Relational Antonyms
 Practice Exercise

4 Sentence Completion
 Tips to Solve Sentence Completion Based Questions

5 Verbal Analogies
 Types of Analogies
 Tips to Solve Verbal Analogies Questions

6 Word Groups

7 Verbal Deduction
Tips and Tricks to Solve Verbal Deduction Questions

General Aptitude: Numerical Ability

Unit 1: Basic Arithmetic
1 Number System
 Numbers
 Classification of Numbers
 Progressions
 Arithmetic Progressions
 Geometric Progressions
 Infinite Geometric Progressions
 Averages, Mean, Median and Mode
 Relation between AM, GM and HM
 Some Algebraic Formulas
 The Remainder Theorem
 The Polynomial Factor Theorem
 Base System
 Counting Trailing Zeros
 Inequations
 Quadratic Equations
 Even and Odd Numbers
 Prime Numbers and Composite Numbers
 HCF and LCM of Numbers
 Cyclicity
 Test for Divisibility

2 Percentage
 Introduction
 Some Important Formulae

3 Profit and Loss
 Introduction
 Some Important Formulae
 Margin and Markup

4 Simple Interest and Compound Interest
 Introduction
 Some Important Formulae

5 Time and Work
 Introduction
 Important Formulas and Concepts

6 Average, Mixture and Alligation
 Average
 Weighted Average
 Mixture and Alligation

7 Ratio, Proportion and Variation
 Ratio
 Proportion
 Variation

8 Speed, Distance and Time
 Introduction
 Some Important Formulas

Unit 2: Algebra
1 Permutation and Combination
 Permutation
 Combination
 Partitions
 Counting
 Fundamental Principle of Addition
 Fundamental Principle of Multiplication

2 Progression
 Arithmetic Progression
 Geometric Progression
 Infinite Geometric Progression
 Harmonic Series
 Relation between AM, GM and HM

3 Probability
 Introduction
 Some Basic Concepts of Probability
 Some Important Theorems

4 Set Theory
 Introduction
 Venn Diagrams
 Operation on Sets
 Venn Diagram with Two Attributes
 Venn Diagram with Three Attributes

5 Surds, Indices and Logarithms
 Surds
 Logarithm

Unit 3: Reasoning and Data Interpretation
1 Cubes and Dices
 Cubes
 Dices

2 Line Graph
 Introduction

3 Tables
 Introduction

4 Blood Relationship
 Introduction
 Standard Coding Technique

5 Bar Diagram
 Introduction
 
6 Pie Chart
 Introduction
 Types of Pie Charts
 3-D Pie Chart
 Doughnut Chart
 Exploded Pie Chart
 Polar Area Chart
 Ring Chart/Multilevel Pie Chart

7 Puzzles
 Introduction
 Types of Puzzles

8 Analytical Reasoning
 Introduction

General Aptitude: Solved Gate Previous Years’ Questions