Home / GATE 2017-2018 / GATE EEE :: Practice Test Paper 1

GATE 2017-2018 :: GATE EEE

  1. A dielectric slab with 500 mm × 500 mm cross-section is 0.4 m long. The slab is subjected to a uniform electric field of E = 6ax + 8ay kV/mm. The relative permitivity of the dielectric material is equal to 2. The value of constant εo is 8.85 * 10-12 F/m. The energy stored in the dielectric in Joules is
  2. A.
    8.85 * 10-11
    B.
    8.85 * 10-5
    C.
    88.5
    D.
    885

    View Answer

    Workspace

    Discuss Discuss in Forum


  3. A matrix has eigenvalues “1 and “2. The corresponding eigenvectors are  and  respectively. The matrix is
  4. A.
    .

    B.
    .

    C.
    .

    D.
    .

    View Answer

    Workspace

    Discuss Discuss in Forum


  5. The clock frequency applied to the digital circuit shown in the figure below is 1 kHz. If the initial state of the output Q of the flip-flop is '0', then the frequency of the output waveform Q in kHz is

  6. A.
    0.25
    B.
    0.5
    C.
    1
    D.
    2

    View Answer

    Workspace

    Discuss Discuss in Forum


  7. In the circuit shown below, Q1 has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If Vcc is +5 V, X and Y are digital signals with 0 V as logic 0 and Vcc as logic 1, then the Boolean expression for Z is

  8. A.
    XY
    B.
    .

    C.
    .

    D.
    .

    View Answer

    Workspace

    Discuss Discuss in Forum


  9. In the circuit shown below the op-amps are ideal. Then Vout in Volts is

  10. A.
    4
    B.
    6
    C.
    8
    D.
    10

    View Answer

    Workspace

    Discuss Discuss in Forum


  11. Two magnetically uncoupled inductive coils have Q factors q1 and q2 at the chosen operating frequency. Their respective resistances are R1 and R2. When connected in series, their effective Q factor at the same operating frequency is
  12. A.
    q1 R1 + q2 R2
    B.
    q1/R1 + q2/R2
    C.
    (q1 R1 + q2 R2)/(R1 + R2)
    D.
    q1 R2 + q2 R1

    View Answer

    Workspace

    Discuss Discuss in Forum


  13. The signal flow graph for a system is given below. The transfer function Y(s)/U(s) for this system is

  14. A.
    (s + 1)/(5 s2 + 6s + 2)
    B.
    (s + 1)/(s2 + 6s + 2)
    C.
    (s + 1)/(s2 + 4s + 2)
    D.
    1/(5 s2 + 6s + 2)

    View Answer

    Workspace

    Discuss Discuss in Forum


  15. The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage VWX1 = 100V is applied across WX to get an open circuit voltage VYZ1 across YZ. Next, an ac voltage VYZ2 = 100V is applied across YZ to get an open circuit voltage VWX2 across WX. Then, VYZ1/VWX1, VWX2/VYZ2 are respectively,

  16. A.
    125/100 and 80/100
    B.
    100/100 and 80/100
    C.
    100/100 and 100/100
    D.
    80/100 and 80/100

    View Answer

    Workspace

    Discuss Discuss in Forum


  17. Thyristor T in the figure below is initially off and is triggered with a single pulse of width 10 μs. It is given that L = (100/π)μ H and C = (100/π)μ F Assuming latching and holding currents of the thyristor are both zero and the initial charge on C is zero, T conducts for

  18. A.
    10 μs
    B.
    50 μs
    C.
    100 μs
    D.
    200 μs

    View Answer

    Workspace

    Discuss Discuss in Forum


  19. A 4-pole induction motor, supplied by a slightly unbalanced three-phase 50 Hz source, is rotating at 1440 rpm. The electrical frequency in Hz of the induced negative sequence current in the rotor is
  20. A.
    100
    B.
    98
    C.
    52
    D.
    48

    View Answer

    Workspace

    Discuss Discuss in Forum