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GATE 2017-2018 :: GATE ECE

  1. In the three dimensional view of a silicon n-channel MOS transistor shown below, δ = 20 nm. The transistor is of width 1 μm. The depletion width formed at every p-n junction is 10 nm. The relative permitivities of Si and SiO2 respectively, are 11.7 and 3.9, and ε0 = 8.9 * 10-12 F/m.

    The gate-source overlap capacitance is approximately
  2. A.
    0.7 fF
    B.
    0.7 pF
    C.
    0.35 fF
    D.
    0.24 pF

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  3. In the three dimensional view of a silicon n-channel MOS transistor shown below, δ = 20 nm. The transistor is of width 1 μm. The depletion width formed at every p-n junction is 10 nm. The relative permitivities of Si and SiO2 respectively, are 11.7 and 3.9, and ε0 = 8.9 * 10-12 F/m.

    The source-body junction capacitance is approximately
  4. A.
    2 fF
    B.
    7 fF
    C.
    2 pF
    D.
    7 pF

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  5. An infinitely long uniform solid wire of radius a carries a uniform dc current of density j.
    The magnetic field at a distance r from the center of the wire is proportional to
  6. A.
    r for r < a and 1/r2 for r > a
    B.
    0 for r < a and 1/r for r > a
    C.
    r for r < a and 1/r for r > a
    D.
    0 for r < a and 1/r2 for r > a

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  7. A hole of radius b (b < a) is now drilled along the length of the wire at a distance d from the center of the wire as shown below.

    The magnetic field inside the hole is

  8. A.
    uniform and depends only on d
    B.
    uniform and depends only on b
    C.
    uniform and depends on both b and d
    D.
    non uniform

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  9. The transfer function of a compensator is given as Gc (s) = (s + a)/(s + b).
    Gc (s) is a lead compensator if
  10. A.
    a =1, b = 2
    B.
    a = 3, b = 2
    C.
    a = "“3, b = "“1
    D.
    a = 3, b = 1

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  11. The transfer function of a compensator is given as Gc (s) = (s + a)/(s + b).
    The phase of the above lead compensator is maximum at
  12. A.
    √2 rad/s
    B.
    √3 rad/s
    C.
    √6 rad/s
    D.
    1/√3 rad/s

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  13. If (1.001)1259 = 3.52 and (1.001)2062 = 7.85, then (1.001)3321 =
  14. A.
    2.23
    B.
    4.33
    C.
    11.37
    D.
    27.64

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  15. Choose the most appropriate alternative from the options given below to complete the following sentence: 
    If the tired soldier wanted to lie down, he ___ the mattress out on the balcony.
  16. A.
    should take
    B.
    shall take
    C.
    should have taken
    D.
    will have taken

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  17. Choose the most appropriate word from the options given below to complete the following sentence: 
    Given the seriousness of the situation that he had to face, his ___ was impressive.
  18. A.
    beggary
    B.
    nomenclature
    C.
    jealousy
    D.
    nonchalance

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  19. Which one of the following options is the closest in meaning to the word given below? 
    Latitude
  20. A.
    Eligibility
    B.
    Freedom
    C.
    Coercion
    D.
    Meticulousness

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