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GATE
(Graduate Aptitude Test in Engineering)
Electrical Engineering
T K s
rishna nowledge ysTems
Copyright © 2017 Trishna Knowledge Systems
Published by Pearson India Education Services Pvt. Ltd, CIN: U72200TN2005PTC057128,
formerly known as TutorVista Global Pvt. Ltd, licensee of Pearson Education in South Asia.
No part of this eBook may be used or reproduced in any manner whatsoever without the
publisher’s prior written consent.
This eBook may or may not include all assets that were part of the print version. The publisher
reserves the right to remove any material in this eBook at any time.
ISBN 978-93-528-6843-8
eISBN 978-93-530-6117-3
Head Office: 15th Floor, Tower-B, World Trade Tower, Plot No. 1, Block-C, Sector 16, Noida 201 301,
Uttar Pradesh, India.
Registered Office: 4th Floor, Software Block, Elnet Software City, TS-140, Block 2 & 9,
Rajiv Gandhi Salai, Taramani, Chennai 600 113, Tamil Nadu, India.
Fax: 080-30461003, Phone: 080-30461060
www.pearson.co.in, Email: [email protected]
Contents
Preface ix
Key Pedagogical feaTures x
syllabus: elecTrical engineering xii
chaPTer-wise analysis of gaTe Previous years’ PaPers xiii
general informaTion abouT gaTe xiv
solved PaPers 2017 xvi
solved PaPers 2018 lvii
ParT 1 g a
eneral PTiTude
ParT a Verbal ability
chaPTer 1 Grammar 1.5
chaPTer 2 Vocabulary 1.49
ParT b Numerical ability
uniT i Q a 1.71
uanTiTaTive PTiTude
chaPTer 1 Simple equatioNS 1.73
chaPTer 2 ratio-proportioN-VariatioN 1.79
chaPTer 3 NumberS 1.85
chaPTer 4 perceNtage, profit aNd loSS 1.99
chaPTer 5 Simple iNtereSt aNd compouNd iNtereSt 1.106
chaPTer 6 aVerageS, mixtureS aNd alligatioNS 1.112
chaPTer 7 time aNd Work 1.119
chaPTer 8 time aNd diStaNce 1.125
chaPTer 9 iNdiceS, SurdS, logarithmS 1.131
chaPTer 10 quadratic equatioNS 1.137
chaPTer 11 iNequalitieS 1.143
chaPTer 12 progreSSioNS 1.147
chaPTer 13 permutatioNS aNd combiNatioNS 1.152
chaPTer 14 data iNterpretatioN 1.159
uniT ii r 1.177
easoning
chaPTer 1 Number aNd letter SerieS 1.179
chaPTer 2 aNalogieS 1.185
chaPTer 3 odd maN out (claSSificatioN) 1.188
chaPTer 4 codiNg aNd decodiNg 1.191
chaPTer 5 blood relatioNS 1.195
chaPTer 6 VeNN diagramS 1.200
vi | Contents
chaPTer 7 SeatiNg arraNgemeNtS 1.204
chaPTer 8 puzzleS 1.212
chaPTer 9 clockS aNd caleNderS 1.225
ParT i1 e m
ngineering aThemaTics
chaPTer 1 liNear algebra 2.3
chaPTer 2 calculuS 2.19
chaPTer 3 differeNtial equatioNS 2.46
chaPTer 4 complex VariableS 2.65
chaPTer 5 probability aNd StatiSticS 2.81
chaPTer 6 Numerical methodS 2.100
chaPTer 7 traNSform theory 2.111
ParT iii e e
lecTrical ngineering
uniT 1 s s 3.1
ignals and ysTems
chaPTer 1 iNtroductioN to SigNalS aNd SyStemS 3.5
chaPTer 2 laplace traNSform 3.36
chaPTer 3 z-traNSform 3.50
chaPTer 4 coNtiNuouS time fourier aNalySiS 3.67
uniT ii a d e 3.91
nalog and igiTal lecTronics
chaPTer 1 diode circuitS 3.93
chaPTer 2 bipolar JuNctioN traNSiStorS 3.119
chaPTer 3 field effect traNSiStorS 3.137
chaPTer 4 traNSiStor biaSiNg 3.156
chaPTer 5 amplifierS 3.174
chaPTer 6 differeNtial aNd feedback amplifierS 3.198
chaPTer 7 operatioNal amplifierS 3.217
chaPTer 8 booleaN algebra aNd miNimizatioN of fuNctioNS 3.256
chaPTer 9 combiNatioNal circuitS 3.283
chaPTer 10 SequeNtial circuitS 3.305
chaPTer 11 Sample aNd hold, a/d aNd d/a circuitS 3.330
chaPTer 12 microproceSSor 8085 3.337
Contents | vii
uniT iii e c f 3.359
lecTric ircuiTs and ields
chaPTer 1 NetWork elemeNtS aNd baSic laWS 3.361
chaPTer 2 NetWork theoremS 3.387
chaPTer 3 traNSieNt aNalySiS (ac aNd dc) 3.409
chaPTer 4 tWo port NetWorkS 3.440
chaPTer 5 reSoNaNce 3.471
chaPTer 6 filterS aNd field theory 3.492
uniT iv e m 3.515
lecTrical achines
chaPTer 1 traNSformerS 3.517
chaPTer 2 priNcipleS of electro mechaNical eNergy coNVerSioN 3.547
chaPTer 3 dc machiNeS 3.558
chaPTer 4 iNductioN motorS 3.586
chaPTer 5 SyNchroNouS machiNeS 3.613
uniT v P e d 3.643
ower lecTronics and rives
chaPTer 1 poWer SemicoNductor deViceS 3.645
chaPTer 2 ac to dc coNVerterS (or) rectifierS 3.667
chaPTer 3 dc–dc coNVerterS (or) chopperS 3.694
chaPTer 4 dc–ac coNVerterS (or) iNVerterS 3.713
chaPTer 5 ac Voltage coNVerterS (or) coNtrollerS aNd electric driVeS 3.733
uniT vi e e m 3.761
lecTrical and lecTronic easuremenTs
chaPTer 1 error aNalySiS aNd r, l, c meaSuremeNtS 3.763
chaPTer 2 electrical meaSuriNg iNStrumeNtS 3.784
chaPTer 3 meaSuremeNt of poWer aNd eNergy 3.801
chaPTer 4 cathode ray oScilloScope aNd electroNic VoltmeterS 3.815
chaPTer 5 magNetic meaSuremeNtS aNd traNSducerS 3.828
uniT vii P s 3.845
ower ysTems
chaPTer 1 poWer SyStem geNeratioN, traNSmiSSioN aNd diStributioN 3.847
chaPTer 2 fault aNalySiS 3.905
chaPTer 3 load floW aNalySiS aNd protectioN 3.927
chaPTer 4 poWer SyStemS Stability 3.956
chaPTer 5 hVdc aNd factS 3.971
viii | Contents
uniT viii c s 3.979
onTrol ysTems
chaPTer 1 iNtroductioN to coNtrol SyStemS 3.981
chaPTer 2 time reSpoNSe aNalySiS 3.999
chaPTer 3 Stability aNalySiS 3.1014
chaPTer 4 coNtrollerS aNd compeNSatorS 3.1045
chaPTer 5 State Space aNalySiS 3.1055
Preface
Graduate Aptitude Test in Engineering (GATE) is one of the preliminary tests for undergraduate subjects in Engineering/
Technology/Architecture and postgraduate subjects in Science stream only.
The number of aspirants appearing for the GATE examination is increasing significantly every year, owing to multifac-
eted opportunities open to any good performer. Apart from giving the aspirant a chance to pursue an M.Tech. from insti-
tutions like the IITs /NITs, a good GATE score can be highly instrumental in landing the candidate a plush public sector
job, as many PSUs are recruiting graduate engineers on the basis of their performance in GATE. The GATE examination
pattern has undergone several changes over the years—sometimes apparent and sometimes subtle. It is bound to continue
to do so with changing technological environment.
GATE Electrical Engineering, as a complete resource helps the aspirants be ready with conceptual understanding,
and enables them to apply these concepts in various applications, rather than just proficiency with questions type. Topics
are handled in a comprehensive manner, beginning with the basics and progressing in a step-by-step manner along with
a bottom-up approach. This allows the student to better understand the concept and to practice applicative techniques in
a focused manner. The content has been systematically organized to facilitate easy understanding of all topics. The given
examples will not only help the students to understand the concepts involved in the problems but also help to get a good
idea about the different models of problems on that particular topic. Due care has also been taken to cover a very wide
range of problems including questions that have been appearing over the last few years in GATE examination.
The practice exercises in every chapter, contain questions ranging simple to moderate to difficult level. These exercises are
meant to hone the examination readiness over a period of time. At the end of each unit, practice tests have been placed. These tests
will help the student assess their level of learning on a regular interval.
This book has been prepared by a group of faculty who are highly experienced in training GATE preparations and
are also subject matter experts. As a result, this book would serve as an effective tool for GATE aspirant to crack the
examination.
Salient Features
1. Elaborate question bank covering previous 12 years’ GATE question papers
2. 5 free online mock tests for practice
3. Detailed coverage of key topics
4. Complete set of solved 2017 GATE online papers with chapter-wise analysis
5. Exhaustive pedagogy:
(a) More than 1300 Solved Examples
(b) More than 6000 Practice Questions
(c) Unit-wise time-bound tests
(d) Modular approach for easy understanding
We would like to thank the below mentioned reviewers for their valuable feedback and suggestions which has helped in
shaping this book.
R. Marudhachalam Professor (Sr. Grade), Kumaraguru College of Technology Coimbatore, Tamil Nadu
Daya Gupta Professor, Delhi Technological University, Main Bawana Road, Delhi
Manoj Kumar Gupta Associate Professor, Delhi Technological University Main Bawana Road, Delhi
Gurpreet Kour Lecturer, Lovely Professional University Phagwara, Punjab
Pinaki Chakraborty Assistant Professor, Netaji Subhas Institute of Technology Dwarka, Delhi
Gunit Kaur Lecturer, Lovely Professional University Phagwara, Punjab
Despite of our best efforts, some errors may have inadvertently crept into the book. Constructive comments and sugges-
tions to further improve the book are welcome and shall be acknowledged gratefully.
Wishing you all the very best..!!!
—Trishna Knowledge Systems
