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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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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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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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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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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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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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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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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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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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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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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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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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13
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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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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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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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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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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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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19
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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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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