Electrical Engineering GATE 2014 Set-2 Questions with Answer

Ques 1 Analog Electronics

The transistor in the given circuit should always be in active region. Take V_CE(sat)=0.2V, V_BE=0.7V. The maximum value of R_C in kΩ which can be used, is ________.

Ques 2 Analog Electronics

The sinusoidal ac source in the figure has an rms value of 20/√2 V. Considering all possible values of R_L, the minimum value of R_S in Ω to avoid burnout of the Zener diode is ________.

Ques 3 Analog Electronics

Assuming the diodes to be ideal in the figure, for the output to be clipped, the input voltage v_i must be outside the range

-1 V to -2 V

-2 V to -4 V

+1 V to -2 V

+2 V to -4 V

Ques 4 Circuit Theory

Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are 380μH and 240μH. Their mutual inductance in μH is ________.

Ques 5 Circuit Theory

The switch SW shown in the circuit is kept at position '1' for a long duration. At t=0+, the switch is moved to position '2'. Assuming |V_o2| > |V_o1|, the voltage v_c(t) across the capacitor is

v_c(t) = -V_o2(1-e^-t/2RC) - V_o1

v_c(t) = V_o2(1-e^-t/2RC) + V_o1

v_c(t) = -(V_o2+V_o1)(1-e^-t/2RC) - V_o1

v_c(t) = (V_o2-V_o1)(1-e^-t/2RC) + V_o1

Ques 6 Circuit Theory

Assuming an ideal transformer, the Thevenin's equivalent voltage and impedance as seen from the terminals x and y for the circuit in figure are

2sin(ωt), 4Ω

1sin(ωt), 1Ω

1sin(ωt), 2Ω

2sin(ωt), 0.5Ω

Ques 7 Circuit Theory

The voltage across the capacitor, as shown in the figure, is expressed as
v_c(t) = A₁sin(ω₁t - θ₁) + A₂sin(ω₂t - θ₂).

The values of A₁ and A₂ respectively, are

2.0 and 1.98

2.0 and 4.20

2.5 and 3.50

5.0 and 6.40

Ques 8 Circuit Theory

The total power dissipated in the circuit, shown in the figure, is 1 kW. The voltmeter, across the load, reads 200 V. The value of X_L is ________.

17.3 is the correct answer.

Ques 9 Control Systems

Consider an LTI system with transfer function H(s) = 1/(s(s+4)). If the input to the system is cos(3t) and the steady state output is Asin(3t+α), then the value of A is

1/30

1/15

3/4

4/3

Ques 10 Control Systems

The closed-loop transfer function of a system is T(s) = 4/(s²+0.4s+4). The steady state error due to unit step input is ________.

Ques 11 Control Systems

The state transition matrix for the system

[[e^t,0],[e^t,e^t]]

[[e^t,0],[t²e^t,e^t]]

[[e^t,0],[te^t,e^t]]

[[e^t,te^t],[0,e^t]]

Ques 12 Control Systems

A discrete system is represented by the difference equation

. It has initial conditions X₁(0)=1; X₂(0)=0. The pole locations of the system for a=1, are

1±j0

-1±j0

±1+j0

0±j1

Ques 13 Digital Electronics

Which of the following is an invalid state in an 8-4-2-1 Binary Coded Decimal counter

1000

1001

0011

1100

1 2 3 4 5

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Electrical Engineering GATE 2014 Set-2 Questions with Answer