Electrical Engineering
GATE EE topic:electrical-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 361–370 of 715. Imported answers require independent review unless marked reviewed.
Question 26
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In the open interval
, the polynomial
hasYour answerChoose one option.
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Suppose the probability that a coin toss shows “head” is
, where
. The coin is tossed repeatedly until the first “head” appears. The expected number of tosses required isYour answerChoose one option.
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Let
,
,
and
be the vertices of a rectangle
in the complex plane. Assuming that
is traversed in counter-clockwise direction, the value of the contour integral
isYour answerChoose one option.
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In the circuit, switch ‘S’ is in the closed position for a very long time. If the switch is opened at time
, then
in amperes, for
is

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The input impedance,
, for the network shown is

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The causal signal with z-transform
is (
is the unit step signal)Your answerChoose one option.
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Let
be an even function, i.e.
for all
. Let the Fourier transform of
be defined as
. Suppose
for all
, and
. ThenYour answerChoose one option.
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In a single-phase transformer, the total iron loss is 2500 W at nominal voltage of 440 V and frequency 50 Hz. The total iron loss is 850 W at 220 V and 25 Hz. Then, at nominal voltage and frequency, the hysteresis loss and eddy current loss respectively are
Your answerChoose one option.
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In the figure shown, self-impedances of the two transmission lines are 1.5j p.u each, and
p.u is the mutual impedance. Bus voltages shown in the figure are in p.u. Given that
, the maximum steady-state real power that can be transferred in p.u from Bus-1 to Bus-2 is

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A 3-Bus network is shown. Consider generators as ideal voltage sources. If rows 1, 2 and 3 of the
matrix correspond to Bus 1, 2 and 3, respectively, then
of the network is

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