Electrical Engineering
GATE EE year:2017 PYQs
Build your understanding with focused practice from past exam papers.
Questions 71–80 of 130. Imported answers require independent review unless marked reviewed.
Question 36
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The output expression for the Karnaugh map shown below is

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Which of the following systems has maximum peak overshoot due to a unit step input?
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The logical gate implemented using the circuit shown below where, V₁ and V₂ are inputs (with 0 V as digital 0 and 5 V as digital 1) and Vₒᵤₜ is the output, is

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For the circuit shown in the figure below, it is given that
. The transistor has
and
when the B-E junction is forward biased. 
For this circuit, the value of
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The input voltage V_DC of the buck-boost converter shown below varies from 32 V to 72 V. Assume that all components are ideal, inductor current is continuous, and output voltage is ripple free. The range of duty ratio D of the converter for which the magnitude of the steady-state output voltage remains constant at 48 V is

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For the circuit shown below, assume that the OPAMP is ideal.

Which one of the following is TRUE?
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A load is supplied by a 230 V, 50 Hz source. The active power P and the reactive power Q consumed by the load are such that 1 kW ≤ P ≤ 2 kW and 1 kVAR ≤ Q ≤ 2 kVAR. A capacitor connected across the load for power factor correction generates 1 kVAR reactive power. The worst case power factor after power factor correction is
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The figure below shows a half-bridge voltage source inverter supplying an RL-load with
and
. The desired fundamental frequency of the load voltage is 50 Hz. The switch control signals of the converter are generated using sinusoidal pulse width modulation with modulation index,
. At 50 Hz, the RL-load draws an active power of 1.44 kW. The value of DC source voltage
in volts is 
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The bus admittance matrix for a power system network is
pu. There is a transmission line, connected between buses 1 and 3, which is represented by the circuit shown in figure.

Reactance is 0.05 pu; susceptance is 0.05 pu at each end. If this transmission line is removed from service, what is the modified bus admittance matrix?
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A person decides to toss a fair coin repeatedly until he gets a head. He will make at most 3 tosses. Let the random variable
denote the number of heads. The value of
, where
denotes the variance, equalsYour answerChoose one option.
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