Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
ELECTRICAL ENGINEERING EXAM PREP
Problems and Solutions
R. R. Gupta, James R. Claycomb
1st Edition
,Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
ELEC TRICAL
ENGINEERING
EXAM PREP
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
LICENSE, DISCLAIMER OF LIABILITY, AND LIMITED WARRANTY
By purchasing or using this book (the “Work”), you agree that this license grants
permission to use the contents contained herein, but does not give you the right
of ownership to any of the textual content in the book or ownership to any of the
information or products contained in it. This license does not permit uploading of the
Work onto the Internet or on a network (of any kind) without the written consent of
the Publisher. Duplication or dissemination of any text, code, simulations, images,
etc. contained herein is limited to and subject to licensing terms for the respective
products, and permission must be obtained from the Publisher or the owner of the
content, etc., in order to reproduce or network any portion of the textual material (in
any media) that is contained in the Work.
Mercury Learning And Information (“MLI” or “the Publisher”) and anyone involved in
the creation, writing, or production of the companion disc, accompanying algorithms,
code, or computer programs (“the software”), and any accompanying Web site or
software of the Work, cannot and do not warrant the performance or results that
might be obtained by using the contents of the Work. The author, developers, and
the Publisher have used their best efforts to insure the accuracy and functionality of
the textual material and/or programs contained in this package; we, however, make
no warranty of any kind, express or implied, regarding the performance of these
contents or programs. The Work is sold “as is” without warranty (except for defective
materials used in manufacturing the book or due to faulty workmanship).
The author, developers, and the publisher of any accompanying content, and anyone
involved in the composition, production, and manufacturing of this work will not be
liable for damages of any kind arising out of the use of (or the inability to use) the
algorithms, source code, computer programs, or textual material contained in this
publication. This includes, but is not limited to, loss of revenue or profit, or other
incidental, physical, or consequential damages arising out of the use of this Work.
The sole remedy in the event of a claim of any kind is expressly limited to replacement
of the book, and only at the discretion of the Publisher. The use of “implied warranty”
and certain “exclusions” vary from state to state, and might not apply to the purchaser
of this product.
,Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
ELEC TRICAL
ENGINEERING
EXAM PREP
Problems and Solutions
R. R. Gupta
James R. Claycomb, PhD
MLI Exam Prep Series
Sarhan Musa, PhD
Prairie View A&M
(Series Editor)
MERCURY LEARNING AND INFORMATION
Dulles, Virginia
Boston, Massachusetts
New Delhi
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
Copyright ©2019 by Mercury Learning and Information LLC. All rights reserved.
Part of the MLI Exam Prep Series. S. Musa / Series Editor.
Original Title and Copyright: Electrical Engineering. ©2014 by Khanna Publishers.
978-8174092-02-1.
This publication, portions of it, or any accompanying software may not be reproduced in any
way, stored in a retrieval system of any type, or transmitted by any means, media, electronic
display or mechanical display, including, but not limited to, photocopy, recording, Internet
postings, or scanning, without prior permission in writing from the publisher.
Publisher: David Pallai
Mercury Learning And Information
22841 Quicksilver Drive
Dulles, VA 20166
www.merclearning.com
(800) 232-0223
R. R. Gupta and James R. Claycomb. Electrical Engineering Exam Prep: Problems and Solutions.
ISBN: 978-1-68392-112-7
The publisher recognizes and respects all marks used by companies, manufacturers, and
developers as a means to distinguish their products. All brand names and product names
mentioned in this book are trademarks or service marks of their respective companies. Any
omission or misuse (of any kind) of service marks or trademarks, etc. is not an attempt to
infringe on the property of others.
Library of Congress Control Number: 2017915454
192021321 This book is printed on acid-free paper in the United States of America.
Our titles are available for adoption, license, or bulk purchase by institutions, corporations, etc.
For additional information, please contact the Customer Service Dept. at 800-232-0223
(toll free).
All of our titles are available in digital format at authorcloudware.com and other digital
vendors. The sole obligation of Mercury Learning and Information to the purchaser
is to replace the book, based on defective materials or faulty workmanship, but not based on
the operation or functionality of the product.
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
CONTENTS
1. Engineering Mathematics 1–28
2. Electrical Machines 29–80
3. Measurements 81–116
4. Passive Circuits and Electromagnetic Fields 117–168
5. Power Systems 169–202
6. Control System Engineering 203–238
7. Electronics 239–304
8. Computer Science 305–334
9. Process Instrumentation 335–350
10. Information and Blockchain Technology 351–362
11. Superconductivy and Quantum Computing 363–378
12. Self-Examination 379–416
Appendix: Answers 417–440
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
1
ENGINEERING MATHEMATICS
1. cos2 q is equal to
2
(a) 1 + sin θ
1
(b) (1 + cos 2θ )
2
1
(c) (1 − cos 2θ )
2
1
(d) (1 + sin 2θ )
2
2. sin 2 q is equal to
2
(a) 1 + cos θ
1
(b) (1 + cos 2θ )
2
1
(c) (1 − cos 2θ )
2
1
(d) (1 + sin 2θ )
2
3. sin 2 θ + cos2 θ is equal to
(a) 1
(b) -1
(c) 2 sin q cosq
(d) −2 sin θ cosθ
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
2 • ELECTRICAL ENGINEERING EXAM PREP: PROBLEMS AND SOLUTIONS
4. The area of a trapezoid above is
(a) ha + hb
1
(b) ( a + b) h
2
1
(c) ( b − a ) h
2 Fig. Q. 4.
(d) h a + b
2 2
π
∫ cos θ dθ is equal to
2
5.
0
(a) π /2
(b) 0
(c) −π / 2
(d) 1
π
∫ sin θ dθ is equal to
2
6.
0
(a) π /2
(b) 0
(c) −π / 2
(d) 1
7. ∫ sinθ cosθ dθ is equal to (plus a constant)
1 2
(a) sin q
2
1
(b) cos q
2
2
(c) sin θ − 1
2
(d) 1 − cos θ
2
8. Consider a triangle with sides a, b and c with q between sides a and b
2 2 2
(a) c = a + b − 2 ab cosθ
(b) c = a + b + 2 ab cosθ
2 2 2
2 2 2
(c) c = a + b − 2 ab sin θ
(d) c = a + b + 2 ab sin θ
2 2 2
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
ENGINEERING MATHEMATICS • 3
9. Given f ( x ) and g ( x ) are inverse functions
(a) f ( g ( x ) ) = g ( f ( x ) )
(b) f ( g ( x ) ) = x
(c) g ( f ( x ) ) = x
(d) all the above
The expression ln ( e ) is equal to
x
10.
(a) eln x
(b) x
(c) 1
(d) Answers (a) and (b) only
11. The log of a product ln ∏ ai is equal to
i
(a) å ln ai
i
(b) ln å ai
i
(c) Both (a) and (b)
(d) Neither (a) nor (b)
12. The equation tan x = x is
(a) a transcendental equation
(b) is solvable graphically or numerically
(c) is not solvable analytically
(d) all the above
13. The function f ( x ) = x sin x is
(a) an even function
(b) an odd function
(c) neither even nor odd
(d) such that f ( x ) = − f ( − x )
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
4 • ELECTRICAL ENGINEERING EXAM PREP: PROBLEMS AND SOLUTIONS
The function f ( x ) = x exp ( − x ) is
2
14.
(a) an even function
(b) an odd function
(c) neither even nor odd
(d) such that f ( x ) = f ( − x )
2 3
15. The function f ( x ) = x − x is
(a) an even function
(b) an odd function
(c) neither even nor odd
(d) such that f ( x ) = f ( − x )
∞
16. The integral ∫x
6
exp ( − x2 )dx
−∞
(a) diverges
(b) is equal to zero
∞
(c) is equal to 2 ∫ x exp ( − x )dx
6 2
0
0
(d) is equal to −2 ∫ x exp ( − x )dx
6 2
−∞
∞
∫ sin ( x ) exp ( − x )dx
2
17. The integral
−∞
(a) diverges
(b) is equal to zero
∞
(c) is equal to 2 ∫ sin ( x ) exp ( − x )dx
2
0
0
(d) is equal to −2 ∫ sin ( x ) exp ( − x )dx
2
−∞
ELECTRICAL ENGINEERING EXAM PREP
Problems and Solutions
R. R. Gupta, James R. Claycomb
1st Edition
,Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
ELEC TRICAL
ENGINEERING
EXAM PREP
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
LICENSE, DISCLAIMER OF LIABILITY, AND LIMITED WARRANTY
By purchasing or using this book (the “Work”), you agree that this license grants
permission to use the contents contained herein, but does not give you the right
of ownership to any of the textual content in the book or ownership to any of the
information or products contained in it. This license does not permit uploading of the
Work onto the Internet or on a network (of any kind) without the written consent of
the Publisher. Duplication or dissemination of any text, code, simulations, images,
etc. contained herein is limited to and subject to licensing terms for the respective
products, and permission must be obtained from the Publisher or the owner of the
content, etc., in order to reproduce or network any portion of the textual material (in
any media) that is contained in the Work.
Mercury Learning And Information (“MLI” or “the Publisher”) and anyone involved in
the creation, writing, or production of the companion disc, accompanying algorithms,
code, or computer programs (“the software”), and any accompanying Web site or
software of the Work, cannot and do not warrant the performance or results that
might be obtained by using the contents of the Work. The author, developers, and
the Publisher have used their best efforts to insure the accuracy and functionality of
the textual material and/or programs contained in this package; we, however, make
no warranty of any kind, express or implied, regarding the performance of these
contents or programs. The Work is sold “as is” without warranty (except for defective
materials used in manufacturing the book or due to faulty workmanship).
The author, developers, and the publisher of any accompanying content, and anyone
involved in the composition, production, and manufacturing of this work will not be
liable for damages of any kind arising out of the use of (or the inability to use) the
algorithms, source code, computer programs, or textual material contained in this
publication. This includes, but is not limited to, loss of revenue or profit, or other
incidental, physical, or consequential damages arising out of the use of this Work.
The sole remedy in the event of a claim of any kind is expressly limited to replacement
of the book, and only at the discretion of the Publisher. The use of “implied warranty”
and certain “exclusions” vary from state to state, and might not apply to the purchaser
of this product.
,Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
ELEC TRICAL
ENGINEERING
EXAM PREP
Problems and Solutions
R. R. Gupta
James R. Claycomb, PhD
MLI Exam Prep Series
Sarhan Musa, PhD
Prairie View A&M
(Series Editor)
MERCURY LEARNING AND INFORMATION
Dulles, Virginia
Boston, Massachusetts
New Delhi
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
Copyright ©2019 by Mercury Learning and Information LLC. All rights reserved.
Part of the MLI Exam Prep Series. S. Musa / Series Editor.
Original Title and Copyright: Electrical Engineering. ©2014 by Khanna Publishers.
978-8174092-02-1.
This publication, portions of it, or any accompanying software may not be reproduced in any
way, stored in a retrieval system of any type, or transmitted by any means, media, electronic
display or mechanical display, including, but not limited to, photocopy, recording, Internet
postings, or scanning, without prior permission in writing from the publisher.
Publisher: David Pallai
Mercury Learning And Information
22841 Quicksilver Drive
Dulles, VA 20166
www.merclearning.com
(800) 232-0223
R. R. Gupta and James R. Claycomb. Electrical Engineering Exam Prep: Problems and Solutions.
ISBN: 978-1-68392-112-7
The publisher recognizes and respects all marks used by companies, manufacturers, and
developers as a means to distinguish their products. All brand names and product names
mentioned in this book are trademarks or service marks of their respective companies. Any
omission or misuse (of any kind) of service marks or trademarks, etc. is not an attempt to
infringe on the property of others.
Library of Congress Control Number: 2017915454
192021321 This book is printed on acid-free paper in the United States of America.
Our titles are available for adoption, license, or bulk purchase by institutions, corporations, etc.
For additional information, please contact the Customer Service Dept. at 800-232-0223
(toll free).
All of our titles are available in digital format at authorcloudware.com and other digital
vendors. The sole obligation of Mercury Learning and Information to the purchaser
is to replace the book, based on defective materials or faulty workmanship, but not based on
the operation or functionality of the product.
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
CONTENTS
1. Engineering Mathematics 1–28
2. Electrical Machines 29–80
3. Measurements 81–116
4. Passive Circuits and Electromagnetic Fields 117–168
5. Power Systems 169–202
6. Control System Engineering 203–238
7. Electronics 239–304
8. Computer Science 305–334
9. Process Instrumentation 335–350
10. Information and Blockchain Technology 351–362
11. Superconductivy and Quantum Computing 363–378
12. Self-Examination 379–416
Appendix: Answers 417–440
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
1
ENGINEERING MATHEMATICS
1. cos2 q is equal to
2
(a) 1 + sin θ
1
(b) (1 + cos 2θ )
2
1
(c) (1 − cos 2θ )
2
1
(d) (1 + sin 2θ )
2
2. sin 2 q is equal to
2
(a) 1 + cos θ
1
(b) (1 + cos 2θ )
2
1
(c) (1 − cos 2θ )
2
1
(d) (1 + sin 2θ )
2
3. sin 2 θ + cos2 θ is equal to
(a) 1
(b) -1
(c) 2 sin q cosq
(d) −2 sin θ cosθ
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
2 • ELECTRICAL ENGINEERING EXAM PREP: PROBLEMS AND SOLUTIONS
4. The area of a trapezoid above is
(a) ha + hb
1
(b) ( a + b) h
2
1
(c) ( b − a ) h
2 Fig. Q. 4.
(d) h a + b
2 2
π
∫ cos θ dθ is equal to
2
5.
0
(a) π /2
(b) 0
(c) −π / 2
(d) 1
π
∫ sin θ dθ is equal to
2
6.
0
(a) π /2
(b) 0
(c) −π / 2
(d) 1
7. ∫ sinθ cosθ dθ is equal to (plus a constant)
1 2
(a) sin q
2
1
(b) cos q
2
2
(c) sin θ − 1
2
(d) 1 − cos θ
2
8. Consider a triangle with sides a, b and c with q between sides a and b
2 2 2
(a) c = a + b − 2 ab cosθ
(b) c = a + b + 2 ab cosθ
2 2 2
2 2 2
(c) c = a + b − 2 ab sin θ
(d) c = a + b + 2 ab sin θ
2 2 2
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
ENGINEERING MATHEMATICS • 3
9. Given f ( x ) and g ( x ) are inverse functions
(a) f ( g ( x ) ) = g ( f ( x ) )
(b) f ( g ( x ) ) = x
(c) g ( f ( x ) ) = x
(d) all the above
The expression ln ( e ) is equal to
x
10.
(a) eln x
(b) x
(c) 1
(d) Answers (a) and (b) only
11. The log of a product ln ∏ ai is equal to
i
(a) å ln ai
i
(b) ln å ai
i
(c) Both (a) and (b)
(d) Neither (a) nor (b)
12. The equation tan x = x is
(a) a transcendental equation
(b) is solvable graphically or numerically
(c) is not solvable analytically
(d) all the above
13. The function f ( x ) = x sin x is
(a) an even function
(b) an odd function
(c) neither even nor odd
(d) such that f ( x ) = − f ( − x )
, Electrical Engineering Exam Prep: Problems and Solutions 1st Edition (Gupta, 2020)
4 • ELECTRICAL ENGINEERING EXAM PREP: PROBLEMS AND SOLUTIONS
The function f ( x ) = x exp ( − x ) is
2
14.
(a) an even function
(b) an odd function
(c) neither even nor odd
(d) such that f ( x ) = f ( − x )
2 3
15. The function f ( x ) = x − x is
(a) an even function
(b) an odd function
(c) neither even nor odd
(d) such that f ( x ) = f ( − x )
∞
16. The integral ∫x
6
exp ( − x2 )dx
−∞
(a) diverges
(b) is equal to zero
∞
(c) is equal to 2 ∫ x exp ( − x )dx
6 2
0
0
(d) is equal to −2 ∫ x exp ( − x )dx
6 2
−∞
∞
∫ sin ( x ) exp ( − x )dx
2
17. The integral
−∞
(a) diverges
(b) is equal to zero
∞
(c) is equal to 2 ∫ sin ( x ) exp ( − x )dx
2
0
0
(d) is equal to −2 ∫ sin ( x ) exp ( − x )dx
2
−∞
