Electrical Engineering Gate 2016 Set-2 Questions with Answer

Ques 14 GATE 2016 SET-2

The open loop transfer function of a unity feedback control system is given by
G(s) = K(s+1)/(s(1+Ts)(1+2s)), K>0, T>0.
The closed loop system will be stable if,

0 < T < (4(K+1))/(K-1)

0 < K < (4(T+2))/(T-2)

0 < K < (T+2)/(T-2)

0 < T < (8(K+1))/(K-1)

(b) is the correct answer.

Ques 15 GATE 2016 SET-2

Consider a linear time invariant system ẋ = Ax, with initial condition x(0) at t=0. Suppose α and β are eigenvectors of (2x2) matrix A corresponding to distinct eigenvalues λ₁ and λ₂ respectively. Then the response x(t) of the system due to initial condition x(0) = α is

e^λ₁tα

e^λ₂tβ

e^λ₂tα

e^λ₁tα + e^λ₂tβ

(a) is the correct answer.

Ques 16 GATE 2016 SET-2

A second-order real system has the following properties:
a) the damping ratio ζ = 0.5 and undamped natural frequency ω_n = 10 rad/s,
b) the steady state value of the output, to a unit step input, is 1.02.
The transfer function of the system is

1.02/(s²+5s+100)

102/(s²+10s+100)

100/(s²+10s+100)

102/(s²+5s+100)

(b) is the correct answer.

Ques 17 GATE 2016 SET-2

The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function G(s) = Ks/((s-1)(s-4)) is ________.

(1) is the correct answer.

Ques 18 GATE 2016 SET-2

The output expression for the Karnaugh map shown below is

ABC	00	01	11	10
0	1	0	0	1
1	1	1	1	1

A + B

A + C̅

A̅ + C̅

A̅ + C

(b) is the correct answer.

Ques 19 GATE 2016 SET-2

The Boolean expression simplifies to

a.b

(a) is the correct answer.

Ques 20 GATE 2016 SET-2

The direction of rotation of a single-phase capacitor run induction motor is reversed by

interchanging the terminals of the AC supply.

interchanging the terminals of the capacitor.

interchanging the terminals of the auxiliary winding.

interchanging the terminals of both the windings.

Ques 21 GATE 2016 SET-2

The starting line current of a 415 V, 3-phase, delta connected induction motor is 120 A, when the rated voltage is applied to its stator winding. The starting line current at a reduced voltage of 110 V, in ampere, is ________.

(31.8) is the correct answer.

Ques 22 GATE 2016 SET-2

A single-phase, 2 kVA, 100/200 V transformer is reconnected as an auto-transformer such that its kVA rating is maximum. The new rating, in kVA, is ________.

(6) is the correct answer.

Ques 23 GATE 2016 SET-2

Three single-phase transformers are connected to form a delta-star three-phase transformer of 110 kV / 11 kV. The transformer supplies at 11 kV a load of 8 MW at 0.8 p.f. lagging to a nearby plant. Neglect the transformer losses. The ratio of phase currents in delta side to star side is

1:10√3

10√3:1

1:10

√3:10

Ques 24 GATE 2016 SET-2

An energy meter, having meter constant of 1200 revolutions/kWh, makes 20 revolutions in 30 seconds for a constant load. The load, in kW, is ________.

(2) is the correct answer.

Ques 25 GATE 2016 SET-2

A parallel plate capacitor filled with two dielectrics is shown in the figure below. If the electric field in the region A is 4 kV/cm, the electric field in the region B, in kV/cm, is

Ques 26 GATE 2016 SET-2

Two electrodes, whose cross-sectional view is shown in the figure below, are at the same potential. The maximum electric field will be at the point

(a) is the correct answer.

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