Electrical Engineering Gate 2016 Set-1 Questions with Answer

Ques 1 GATE 2016 SET-1

A transistor circuit is given below. The Zener diode breakdown voltage is 5.3 V as shown. Take base to emitter voltage drop to be 0.6 V. The value of the current gain β is ________.

(19) is the correct answer.

Ques 2 GATE 2016 SET-1

R_A and R_B are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following statements is TRUE?

R_A = R_B

R_A = R_B = 0

R_A < R_B

R_B = R_A / (1+R_A)

(a) is the correct answer.

Ques 3 GATE 2016 SET-1

In the portion of a circuit shown, if the heat generated in 5 Ω resistance is 10 calories per second, then heat generated by the 4 Ω resistance, in calories per second, is ________.

(2) is the correct answer.

Ques 4 GATE 2016 SET-1

In the given circuit, the current supplied by the battery, in ampere, is ________.

(0.5) is the correct answer.

Ques 5 GATE 2016 SET-1

If an ideal transformer has an inductive load element at port 2 as shown in the figure below, the equivalent inductance at port 1 is

n²L

n/L

n²/L

(b) is the correct answer.

Ques 6 GATE 2016 SET-1

In the circuit shown, switch S₂ has been closed for a long time. At time t=0 switch S₁ is closed. At t=0⁺, the rate of change of current through the inductor, in amperes per second, is ________.

(2) is the correct answer.

Ques 7 GATE 2016 SET-1

In the circuit shown below, the supply voltage is 10 sin(1000t) volts. The peak value of the steady state current through the 1 Ω resistor, in amperes, is ________.

(1) is the correct answer.

Ques 8 GATE 2016 SET-1

The circuit below is excited by a sinusoidal source. The value of R, in Ω, for which the admittance of the circuit becomes a pure conductance at all frequencies is ________.

(14.14) is the correct answer.

Ques 9 GATE 2016 SET-1

In the circuit shown below, the node voltage V_A is ________ V.

(11.42) is the correct answer.

Ques 10 GATE 2016 SET-1

The transfer function of a system is Y(s)/R(s) = s/(s+2). The steady state output y(t) is Acos(2t+φ) for the input cos(2t). The values of A and φ, respectively are

1/√2, -45°

1/√2, +45°

√2, -45°

√2, +45°

(b) is the correct answer.

Ques 11 GATE 2016 SET-1

The phase cross-over frequency of the transfer function G(s) = 100/(s+1)³ in rad/s is

√3

1/√3

3√3

(a) is the correct answer.

Ques 12 GATE 2016 SET-1

Consider the following asymptotic Bode magnitude plot (ω is in rad/s). Which one of the following transfer functions is best represented by the above Bode magnitude plot?

2s/((1+0.5s)(1+0.25s)²)

4(1+0.5s)/(s(1+0.25s))

2s/((1+2s)(1+4s))

4s/((1+2s)(1+4s)²)

(d) is the correct answer.

Ques 13 GATE 2016 SET-1

Consider the following state-space representation of a linear time-invariant system.

The value of y(t) for t = log_e2 is ________.

(6) is the correct answer.

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