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GATE2020EE22
A singlephase inverter is fed from a $\text{100 V}$ dc source and is controlled using a quasisquare wave modulation scheme to produce an output waveform, $\nu\left ( t \right )$, as shown. The angle $\sigma$ is adjusted to entirely ... $2$ decimal places).
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2
GATE2020EE24
Consider a negative unity feedback system with forward path transfer function $G\left ( s \right )=\frac{K}{\left ( s+a \right )\left ( sb \right )\left ( s+c \right )}$, where $\text{K, a, b, c}$ are positive real numbers. For a Nyquist path enclosing the ... $\frac{G\left ( s \right )}{1+G\left ( s \right )}$ lying in the open right half of the $\text{s}$plane is__________.
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3
GATE2020EE23
A single $\text{50 Hz}$ synchronous generator on droop control was delivering $\text{100 MW}$ power to a system. Due to increase in load, generator power had to be increased by $\text{10 MW}$ ... $\text{MW}$ supplied by the generator is _________________ (rounded off to $2$ decimal places).
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4
GATE2020EE21
A singlephase, $\text{4 kVA}$, $\text{200 V/100 V}$, $\text{50 Hz}$ transformer with laminated $\text{CRGO}$ steel core has rated noload loss of $\text{450 W}$. When the highvoltage winding is excited with $\text{160 V}$, $\text{40 Hz}$ ... $\text{25 Hz}$ sinusoidal ac source, the noload losses will be _____________________$\text{W}$ (rounded off to $2$ decimal places).
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5
GATE2020EE14
A commonsource amplifier with a drain resistance, $R_{D}=4.7\:k\Omega$, is powered using a $10\:V$ power supply. Assuming that the transconductance, $_{m}$, is $520\:\mu A/V$, the voltage gain of the amplifier is closest to: $2.44$ $1.22$ $1.22$ $2.44$
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6
GATE2020EE6
$x_{R}$ and $x_{A}$ are, respectively, the rms and average values of $x\left ( t \right )=x\left ( tT \right ),$ and similarly, $y_{R}$ and $y_{A}$ are, respectively, the rms and average values of $y\left ( t \right )=kx\left ( t \right ).\:k,T$ are independent of $\text{t}$. ... $y_{A}\neq kx_{A} ;\:y_{R}= kx_{R}$ $y_{A}\neq kx_{A} ;\:y_{R}\neq kx_{R}$
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7
GATE2020EE5
The value of the following complex integral, with $\text{C}$ representing the unit circle centered at origin in the counterclockwise sense, is: $\int _{C}\frac{z^{2}+1}{z^{2}2z}\:dz$ $8\pi i$ $8\pi i$ $\pi i$ $\pi i$
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8
GATE2020EE2
Which of the following is true for all possible nonzero choices of integers $m,n;m\neq n,$ or all possible nonzero choices of real numbers $p,q;p\neq q,$ as applicable? $\frac{1}{\pi }\int_{0}^{\pi }\sin m\theta \:\sin n\theta d\theta =0$ ... $\lim_{\alpha \rightarrow \infty }\frac{1}{2\alpha }\int_{\alpha }^{\alpha }\sin p\theta \:\sin q\theta d\theta =0$
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9
GATE2020EE26
For real numbers, $\text{x}$ and $\text{y}$, with $y=3x^{2}+3x+1$, the maximum and minimum value of $\text{y}$ for $\text{x}$ $\epsilon\left [ 2,0 \right ]$ are respectively, ______. $\text{7 and 1/4}$. $\text{7 and 1}$. $\text{2 and 1/2}$. $\text{1 and 1/4}$.
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10
GATE2020EE18
Currents through ammeters $\text{A2}$ and $\text{A3}$ in the figure are $1\angle 10^{\circ}\:and\:1\angle 70^{\circ}$, respectively. The reading of the ammeter $\text{A1}$ (rounded off to $3$ decimal places) is_______$\text{A}$.
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11
GATE2020EE13
Which of the options is an equivalent representation of the signal flow graph shown here?
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Feb 28
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12
GATE2020EE37
Suppose for input $x(t)$ a linear timeinvariant system with impulse response $h(t)$ produces output $y(t)$,so that $x\left ( t \right )*h\left ( t \right )=y\left ( t \right )$ ... $t\:\in \left ( \infty, \infty \right ),z\left ( t \right )\geq y\left ( t \right )$
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13
GATE2020EE36
Consider a negative unity feedback system with the forward path transfer function $\large\frac{s^{2}+s+1}{s^{3}+2s^{2}+2s+K},$ where $\text{K}$ is a positive real number. The value of $\text{K}$ for which the system will have some of its poles on the imaginary axis is ____________. $9$ $8$ $7$ $6$
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14
GATE2020EE31
A nonideal diode is biased with a voltage of $\text{0.03 V}$, and a diode current of $I_{1}$ is measured. The thermal voltage is $\text{26 mV}$ and the ideality factor for the diode is $15/13$. The voltage, in $\text{V}$, at which the measured current increases to $1.5I_{1}$ is closest to: $0.02$ $0.09$ $1.50$ $4.50$
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15
GATE2020EE55
A conducting square loop of side length $1\:m$ is placed at a distance of $1\:m$ from a long straight wire carrying a current $I = 2 A$ as shown below. The mutual inductance, in $nH$ (rounded off to $2$ decimal places), between the conducting loop and the long wire is __________.
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Feb 28
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16
GATE2020EE51
A singlephase, fullbridge, fully controlled thyristor rectifier feeds a load comprising a $10$ $\Omega$ resistance in series with a very large inductance. The rectifier is fed from an ideal $\text{230 V}$, $\text{50 Hz}$ sinusoidal source through cables ... angle $\alpha =45^{\circ}$ , the commutation overlap angle in degree (rounded off to $2$ decimal places) is _______________.
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17
GATE2020EE48
Windings $\text{ A','B' and C'}$ have $20$ turns each and are wound on the same iron core as shown, along with winding $\text{ X'}$ which has $2$ turns. The figure shows the sense (clockwise/anticlockwise) of each of the windings only and does not ... load $\text{RMS}$ voltage (in $\text{V}$, rounded off to $2$ decimal places) across winding $\text{ X'}$ is _______________.
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18
GATE2020EE35
Which of the following options is correct for the system shown below? $\text{$4^{th}$ order and stable}$ $\text{$3^{rd}$ order and stable}$ $\text{$4^{th}$ order and unstable}$ $\text{$3^{rd}$ order and unstable}$
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19
GATE2020EE34
Consider a permanent magnet dc $\text{(PMDC)}$ motor which is initially at rest. At $\text{t=0}$, a dc voltage of $\text{5 V}$ is applied to the motor. Its speed monotonically increase from $\text{0 rad/s}$ to $\text{6.32 rad/s}$ in $\text{0.5 s}$ ... is $\large\frac{10}{0.5s+1}$ $\large\frac{2}{0.5s+1}$ $\large\frac{2}{s+0.5}$ $\large\frac{10}{s+0.5}$
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20
GATE2020EE32
A benchtop dc power supply acts as an ideal $\text{4 A}$ current source as long as its terminal voltage is below $\text{10 V}$. Beyond this point, it begins to behave as an ideal $\text{10 V}$ voltage source for all load currents going down to $\text{0 A}$. When connected to an ideal rheostat, ... $\text{2.5 $\Omega$, 4 A, 10 V}$ $\text{2.5 $\Omega$, 4 A , 5 V}$
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