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  • GATE-2015Electrical Engineering

    Answer Key

    28-B/7-2nd Floor, Jia Sarai, Near IIT, New Delhi-16, E-mail: [email protected].: 011-26537570, 09810958290

    Afternoon Session

    7th Feb'2015

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    1

    x on 1 x

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    2

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    3

    HZ

    X

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    4

    0=0=

    0=0=

    EXs

    Line1

    Line 2

    Infinite Bus1 0

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    5

    j0.22

    0.04

    j0.22

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    gVsV

    C 10uF=

    C 10uF= L 1mF=

    R 2.5=inZ

    1: b 1: a

    +

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    6

    1

    2

    5V +

    11

    1

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    7

    10V+

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    1 k

    0V

    +1 kiV

    X Y

    P Q R S P R Q SP Q R S P Q R S

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    8

    VR

    2RVL

    j6 j3 j4j3 j7 j5 puj4 j5 j8

    r r

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    9

    ()()

    1. D.ds Q2. f (z)dz 03. .A dv A.ds

    4. A .ds A.dl

    =

    =

    =

    =

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    10

    iV

    0 iV / V 1F

    1fiV

    0 iV / V 2F

    2f0V

    1F

    2FV

    V+

    V0V

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    11

    ImIm

    ==

    2G (s)

    1G (s)

    Im Im

    =

    1

    Im Im

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    12

    1 F 10%1C

    2C

    V

    V

    Q+

    1 1 i j

    4 4

    1 1 i j

    8 8 1 2 2 1 2 2

    i j8 2 8 2

    +

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    13

    1V

    2V

    3V

    j1

    j1

    j10te for t 1x(t)

    0 for t 1

    =

    >

    2sin( 10)10

    j10 sin( 10)2e10

    2sin10

    j10 2sine

    1V

    2V

    1A

    1B

    1C

    2A

    2B

    2C

    2A

    2B

    2C

    1A

    1B

    1C

    1a

    0.2i 0=

    1b

    1a

    1b

    2a

    2b

    1c

    2c

    2c

    1c

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    14

    k 1 kk

    k 1 kk

    x x yh

    y yx

    h

    +

    +

    =

    =

    pi

    pi

    pipi

    V

    LV+L

    +

    0V15V

    45VLV

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    15

    60

    60

    3R

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    16

    =

    1I 2N

    1N 3N

    2I

    3I

    0

    0.25 F

    1k

    2k

    2k

    0V

    10V+

    10V

    +

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    17

    Load

    sI 100 0=

    sIpI

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    18

    5 mHLi

    36V+

    60V +

    pi

    L

    0J

    0Q0K

    0Q

    1K 1Q

    1J 1Q0Q 1Q

    CLK

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    19

    10

    234567

    1 2 3

    f (A, B,C, D)

    1

    52

    0

    05

    1

    2

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    20

    2

    10

    50.755

    1

    0

    2

    0V

    1

    23

    4+

    +

    V

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    21

    0.2i 0=

    1P

    2P

  • GATE-2015 7th Feb'2015 Electrical Engineering

    28-B/7, 2nd Floor, Jia Sarai, Near IIT Delhi, Hauz Khas, New Delhi-110016www.iesacademy.com [email protected] Ph.9810958290, 08874043373

    22

    30021