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GATE2020EE49
A cylindrical rotor synchronous generator has steady state synchronous reactance of $0.7 \: pu$ and subtransient reactance of $0.2 \: pu$. It is operating at $\left ( 1+j0 \right ) pu$ terminal voltage with an internal $\text{emf}$ ... of the generator, the magnitude of the subtransient internal $\text{emf}$ (rounded off to $2$ decimal places) is ____________ $pu$.
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GATE2020EE52
A nonideal $\text{Si}$based $\text{pn}$ junction diode is tested by sweeping the bias applied across its terminals from $5\:V$ to $5\:V$. The effective thermal voltage, $V_{T}$, for the diode is measured to be $( 29\pm 2)mV$ . The ... . The percentage uncertainty (rounded off to $2$ decimal places) in the measured current at a bias voltage of $\text{0.02 V}$ is ____________.
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GATE2020EE53
The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperaturedependent resistance, $R_{thermistor}=2\left ( 1+\alpha\:T \right )k\Omega$, where $\text{T}$ is the temperature in $^{\circ}C$. ... error in the output signal (in $\text{V}$ , rounded off to $2$ decimal places) at $150^{\circ}C$ is ____________.
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GATE2020EE25
The crosssection of a metaloxidesemiconductor structure is shown schematically. Starting from an uncharged condition, a bias of $\text{+3 V}$ is applied to the gate contact with respect to the body contact. The charge inside the silicon dioxide layer is ... of bias, expressed as a multiple of $\text{Q}$ (absolute value in Coulombs, rounded off to the nearest integer) is___________
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GATE2020EE24
Consider a negative unity feedback system with forward path transfer function $G\left ( s \right )=\dfrac{K}{\left ( s+a \right )\left ( sb \right )\left ( s+c \right )}$, where $\text{K, a, b, c}$ are positive real numbers. For a Nyquist path enclosing the ... $\dfrac{G\left ( s \right )}{1+G\left ( s \right )}$ lying in the open right half of the $\text{s}$plane is__________.
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GATE2020EE23
A single $50 \: Hz$ synchronous generator on droop control was delivering $100 \: MW$ power to a system. Due to increase in load, generator power had to be increased by $10 \: MW$, as a result of which, system frequency dropped to $49.75 \: Hz$. ... $\text{MW}$ supplied by the generator is _________________ (rounded off to $2$ decimal places).
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GATE2020EE22
A singlephase inverter is fed from a $100 \: V$ 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 eliminate ... $2$ decimal places).
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GATE2020EE21
A singlephase, $\text{4 kVA}$, $200\: V/100 \: V$, $50 \: Hz$ transformer with laminated $\text{CRGO}$ steel core has rated noload loss of $450 \: W$. When the highvoltage winding is excited with $160 \: V$, $40 \: Hz$ sinusoidal ac supply ... $\text{25 Hz}$ sinusoidal ac source, the noload losses will be _____________________$\text{W}$ (rounded off to $2$ decimal places).
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GATE2020EE20
A double pulse measurement for an inductively loaded circuit controlled by the $\text{IGBT}$ switch is carried out to evaluate the reverse recovery characteristics of the diode, $\text{D}$, represented approximately as a piecewise linear plot of current vs time at diode turn ... $1, 2, 3$, or $4$) at which the $\text{IGBT}$ experiences the highest current stress is _________.
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GATE2020EE19
The Thevenin equivalent voltage, $V_{TH}$, in $\text{V}$ (rounded off to $2$ decimal places) of the network shown below, is _______
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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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GATE2020EE17
A threephase, $\text{50 Hz}$, $4$pole induction motor runs at noload with a slip of $1\%$. With full load, the slip increases to $5 \%$. The $\%$ speed regulation of the motor (rounded off to $2$ decimal places) is _____________________.
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GATE2020EE16
Consider the initial value problem below. The value of y at $x=\ln{2}$, (rounded off to $3$ decimal places) is_____________________. $\frac{\mathrm{d} y}{\mathrm{d} x}=2xy,\:\:y\left ( 0 \right )=1$
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GATE2020EE44
Let $a_{x}$ and $a_{y}$ be unit vectors along $x$ and $y$ directions, respectively. A vector function is given by $F=a_{x}ya_{y}x$ The line integral of the above function $\int _{C}F.dl$ along the curve $\textbf{C}$, which follows the parabola $y=x^{2}$ as shown below is ___________ (rounded off to $2$ decimal places).
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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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GATE2020EE54
An $8085$ microprocessor acesses two memory locations $\text{(2001H)}$ and $\text{(2002H)}$, that contain $8$bit numbers $\text{98H}$ and $\text{B1H}$, respectively. The following program is executed: LXI H,2001H MVI A, 21 H INX H ADD M INX H ... HLT At the end of this program, the memory location $\text{2003H}$ contains the number in decimal $\text{(base 10)}$ form _____________.
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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 $230 \: V$, $50 \: Hz$ sinusoidal source through cables which ... an angle $\alpha =45^{\circ}$, the commutation overlap angle in degree (rounded off to $2$ decimal places) is _______________.
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GATE2020EE50
In the $\text{dcdc}$ converter circuit shown, switch $\text{Q}$ is switched at a frequency of $10 \: kHz$ with a duty ratio of $0.6$. All components of the circuit are ideal, and the initial current in the inductor is zero. Energy stored in the inductor in $\text{mJ}$ (rounded off to $2$ decimal places) at the end of $10$ complete switching cycles is _________.
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GATE2020EE48
Windings $\text{ A','B'}$ and $\text{ C'}$ 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 ... noload $\text{RMS}$ voltage (in $\text{V}$, rounded off to $2$ decimal places) across winding $\text{ X'}$ is _______________.
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GATE2020EE47
Bus $1$ with voltage magnitude $V_{1}=1.1 \: pu$ is sending reactive power $Q_{12}$ towards bus $2$ with voltage magnitude $\text{$V_{2}=1$ pu}$ through a lossless transmission line of reactance $X$. Keeping the voltage at bus $2$ fixed at $1 \: pu$ ... . The new value of the voltage magnitude, $V_{1}$, in $pu$ ( rounded off to $2$ decimal places), at bus $1$ is___________________.
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GATE2020EE46
A cylindrical rotor synchronous generator with constant real power output and constant terminal voltage is suppling $100 \: A$ current to a $0.9$ lagging power factor load. An ideal reactor is now connected in parallel with the load, as a result of ... the real power remains unchanged. The armature current is now ___________________ $\text{A}$ (rounded off to $2$ decimal places).
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GATE2020EE45
A resistor and a capacitor are connected in series to a $\text{10 V dc}$ supply through a switch. The switch is closed at $\text{t = 0}$, and the capacitor voltage is found to cross $\text{0 V}$ at $t=0.4\tau$, where $\tau$ is the ... in the initial capacitor voltage if the zero crossing has to happen at $t=0.2\tau$ is _______________________ (rounded off to $2$ decimal places).
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GATE2020EE43
The figure below shows the perphase Open Circuit Characteristics (measured in $\text{V}$) and Short Circuit Characteristics (measured in $\text{A}$) of a $14 \: kVA$, $400 \: V$, $50 \: Hz$, $4$pole, $3$phase, delta connected alternator, driven at $1500 \text{ rpm}$. ... $2.100$ $2.025$ $2.000$ $1.000$
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GATE2020EE41
A stable real linear timeinvariant system with single pole at $\text{p}$, has a transfer function $H\left ( s \right )=\dfrac{s^{2}+100}{sp}$ with a $\text{dc}$ gain of $5$. The smallest positive frequency, in $\text{rad/s}$, at unity gain is closest to: $8.84$ $11.08$ $78.13$ $122.87$
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GATE2020EE40
Let $a_{r},\:a_{\phi }$ and $a_{z}$ be unit vectors along $r,\:\phi$ and $z$ directions, respectively in the cylindrical coordinate system. For the electric flux density given by $D=\left ( a_{r}15+a_{\phi } 2r  a_{z} 3rz \right ) \text{ Coulomb}/m^{2}$, the total ... height $5\:m$ oriented along the $z$axis with its base at the origin is: $54\:\pi$ $90\:\pi$ $108\:\pi$ $180\:\pi$
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GATE2020EE39
Which of the following options is true for a linear timeinvariant discrete time system that obeys the difference equation: $y\left [ n \right ]ay\left [ n1 \right ]=b_{0}x\left [ n \right ]b_{1}x\left [ n1 \right ]$ $y[n]$ ... $y\left [ n \right];n > 0$ is solely determined by the function $x[n]$.
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GATE2020EE38
The causal realization of a system transfer function $H(s)$ having poles at $(2,1), (2,1)$ and zeroes at $(2,1), (2,1)$ will be stable, real, allpass unstable, complex, allpass unstable, real, highpass stable, complex, lowpass
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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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GATE2020EE36
Consider a negative unity feedback system with the forward path transfer function $\dfrac{s^{2}+s+1}{s^{3}+2s^{2}+2s+K},$ where $K$ is a positive real number. The value of $K$ for which the system will have some of its poles on the imaginary axis is ____________. $9$ $8$ $7$ $6$
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GATE2020EE35
Which of the following options is correct for the system shown below? $4^{th}$ order and stable $3^{rd}$ order and stable $4^{th}$ order and unstable $3^{rd}$ order and unstable
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GATE2020EE34
Consider a permanent magnet dc $\text{(PMDC)}$ motor which is initially at rest. At $t=0$, a dc voltage of $5 V$ is applied to the motor. Its speed monotonically increase from $0 \text{ rad/s}$ to $6.32 \text{ rad/s}$ in $0.5 \: s$ and finally settles to $10 \text{ rad/s}$. Assuming ... motor is $\dfrac{10}{0.5s+1} \\$ $\dfrac{2}{0.5s+1} \\$ $\dfrac{2}{s+0.5} \\$ $\dfrac{10}{s+0.5}$
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GATE2020EE33
The static electric field inside a dielectric medium with relative permittivity, $\varepsilon _{r}=2.25$, expressed in cylindrical coordinate system is given by the following expression $E=a_{r}2r+a_{\varphi }\left ( \frac{3}{r} \right )+a_{z}6$ ... $3\varepsilon _{0}$ $4\varepsilon _{0}$ $5\varepsilon _{0}$ $9\varepsilon _{0}$
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GATE2020EE32
A benchtop dc power supply acts as an ideal $4 \: A$ current source as long as its terminal voltage is below $10 \: V$. Beyond this point, it begins to behave as an ideal $10 \: V$ voltage source for all load currents going down to $0 \: A$. When connected to an ideal rheostat, find the load resistance ... $2.5 \Omega, 4 \: A, 10 \: V$ $2.5 \Omega, 4 \: A , 5 \: V$
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GATE2020EE31
A nonideal diode is biased with a voltage of $0.03 \: V$, and a diode current of $I_{1}$ is measured. The thermal voltage is $26 \: mV$ and the ideality factor for the diode is $15/13$. The voltage, in $V$, at which the measured current increases to $1.5 \: I_{1}$ is closest to: $0.02$ $0.09$ $1.50$ $4.50$
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GATE2020EE30
Consider the diode circuit shown below. The diode, D, obeys the currentvoltage characteristic $I_{D}=I_{S}\left ( exp\left ( \dfrac{V_{D}}{nV_{T}} \right )1 \right )$, where $n> 1, V_{T}> 0, V_{D}$ is the voltage across the diode and $I_{D}$ is the current through it. ... $R_{1}$ and small $R_{2}$. Large $R_{1}$ and small $R_{2}$. Small $R_{1}$ and large $R_{2}$.
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GATE2020EE29
Two buses, $\text{i and j}$, are connected with a transmission line admittance $y.$ ...
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GATE2020EE28
A $250 V$ dc shunt motor has an armature resistance of $0.2\:\Omega$ and a field resistance of $100\:\Omega$. When the motor is operated on noload at rated voltage, it draws an armature current of $5 \: A$ and runs at $1200 \: rpm$. When a load ... all operating conditions. The speed of the motor, in $\text{rpm}$ under this loaded condition, is closest to: $1200$ $1000$ $1220$ $900$
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GATE2020EE27
The vector function expressed by $F=a_{x}\left ( 5yk_{1} z\right )+a_{y}\left ( 3z+k_{2}x \right )+a_{z}\left ( k_{3} y4x\right )$ represents a conservative field, where $a_{x}, a_{y},a_{z}$ are unit vectors along $x, y$ and $z$ ... $k_{1}=3, k_{2}=8,k_{3}=5$ $k_{1}=4, k_{2}=5,k_{3}=3$ $k_{1}=0, k_{2}=0,k_{3}=0$
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GATE2020EE26
For real numbers, $\text{x}$ and $\text{y}$, with $y=3x^{2}+3x+1$, the maximum and minimum value of $\text{y}$ for $\text{x}$ $\in \left [ 2,0 \right ]$ are respectively, ______. $7$ and $1/4$ $7$ and $1$ $2$ and $1/2$ $1$ and $1/4$
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GATE2020EE15
A sequence detector is designed to detect precisely $3$ digital inputs, with overlapping sequences detectable. For the sequence $\text{(1,0,1)}$ and input data $(1,1,0,1,0,0,1,1,0,1,0,1,1,0)$, what is the output of this detector? $1,1,0,0,0,0,1,1,0,1,0,0$ $0,1,0,0,0,0,0,1,0,1,0,0$ $0,1,0,0,0,0,0,1,0,1,1,0$ $0,1,0,0,0,0,0,0,1,0,0,0$
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