NTA NET Electrical Engineering GATE 2012 Higher Questions and Answers Part 4
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(Topic: Signals and Systems)
(Subtopic: Laplace Transform and z-Transform)
(Sub-Subtopic: Differential equation with initial conditions)
Consider the differential equation
29. with and
The numerical value of is
(A) -2
(B) -1
(C) 0
(D) 1
(Topic: Electric Circuits)
(Subtopic: Maximum power transfer theorem)
(Sub-Subtopic: MPT across load)
30. Assuming both the voltage sources are in phase, the value of R for which maximum power is transferred from circuit A to circuit B is
(A)
(B)
(C)
(D)
(Topic: Control Systems)
(Subtopic: Controllability and Observability)
(Sub-Subtopic: Kalman՚s teat)
31. The state variable description of an LTI system is given by
where is the output and is the input? The system is controllable for
(A)
(B)
(C)
(D)
(Topic: Signals and Systems)
(Subtopic: Applications of Fourier Transform)
(Sub-Subtopic: Sampling function)
32. The Fourier transform of a signal is . The value of is
(A) 1⟋4
(B) 1⟋2
(C) 1
(D) 2
(Topic: Control Systems)
(Subtopic: Routh-Hurwitz and Nyquist criteria)
(Sub-Subtopic: Oscillation frequency)
33. The feedback system shown below oscillates at 2 rad⟋s when
(A)
(B)
(C)
(D)
(Topic: Signals and Systems)
(Subtopic: Linear Time Invariant and Causal systems)
(Sub-Subtopic: TIV and stability)
34. The input and output of a system are related as . The system is
(A) time-invariant and stable
(B) stable and not time-invariant
(C) time-invariant and not stable
(D) not time-invariant and not stable
(Topic: Electric Circuits)
(Subtopic: Two-port networks)
(Sub-Subtopic: Thevenin equivalent)
35. For the same network, with 6 V dc connected at port A, connected at port B draws 7⟋3 A. If 8 V dc is connected to port A, the open circuit voltage at port B is
(A) 6 V
(B) 7 V
(C) 8 V
(D) 9 V
(Topic: Electric Circuits)
(Subtopic: Two-port networks)
(Sub-Subtopic: Thevenin equivalent)
36. With 10 V dc connected at port A, the current drawn by connected at port B is
(A) 3⟋7 A
(B) 5⟋7 A
(C) 1 A
(D) 9⟋7 A
(Topic: Electric Circuits)
(Subtopic: Power and power factor in AC circuits)
(Sub-Subtopic: Power factor)
37. The power factor of the load is
(A) 0.45
(B) 0.50
(C) 0.55
(D) 0.60
(Topic: Electric Circuits)
(Subtopic: Power and power factor in AC circuits)
(Sub-Subtopic: Average power)
38. If , the approximate power consumption in the load is
(A) 700 W
(B) 750 W
(C) 800 W
(D) 850 W
(Topic: Control Systems)
(Subtopic: Lead and Lead-Lag compensators)
(Sub-Subtopic: Lead compensator)
39. is a lead compensator if
(A)
(B)
(C)
(D)
(Topic: Control Systems)
(Subtopic: Lead and Lead-Lag compensators)
(Sub-Subtopic: Cut off frequency for Lead compensator)
40. The phase of the above lead compensator is maximum at
(A)
(B)
(C)
(D)