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Recent questions tagged gate2020me2
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GATE2020ME229
Two buses, $i$ and $j$, are connected with a transmission line of admittance $Y$ ...
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Mar 1
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gate2020me2
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GATE2020ME230
Consider the diode circuit shownbelow.The diode, D, obeys the currentvoltage characteristic$I_{D}= I_{S}\left(\exp\left( \frac{V_{D}}{nV_{T}}\right)1\right),$ where $n> 1, V_{T}> 0,V_{D}$ is the voltage across the diode and $I_{D}$ is the current through it. The ... $R_{1}$ and small $R_{2}$ Large $R_{1}$ and small $R_{2}$ Small $R_{1}$ and large $R_{2}$
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gate2020me2
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GATE2020ME231
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 $1.5I_{1}$ is closest to: $0.02$ $0.09$ $1.50$ $4.50$
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Mar 1
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jothee
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2.7k
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gate2020me2
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GATE2020ME232
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 ... Open, $4\: A, 0\: V$ $2.5\:\Omega, 4\: A, 10\: V$ $2.5\:\Omega, 4 \:A, 5\: V$
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Mar 1
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2.7k
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gate2020me2
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GATE2020ME233
The static electrical field inside a dielectric medium with relative permittivity, $\varepsilon _{r}= 2.25$, expressed in cylindrical coordinate system is given by the following expression $E= a_{r}2r+a_{\varphi }\left(\frac{3}{r}\right)+a_{z}\: 6$ ... , in SI units is given by: $3\varepsilon _{0}$ $4\varepsilon _{0}$ $5\varepsilon _{0}$ $9\varepsilon _{0}$
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Mar 1
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jothee
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2.7k
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gate2020me2
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GATE2020ME236
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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Mar 1
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2.7k
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gate2020me2
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GATE2020ME237
Suppose for input $x(t)$ a linear timeinvariant system with impulse response $h(t)$ produces output $y(t)$, so that $x(t)\ast h(t)= y(t)$. Further, if $\mid x(t)\mid \ast \mid h(t)\mid = z(t) $ ... all $t\in (\infty ,\infty ), z(t)\geq y(t)$ For some but not all $t\in (\infty ,\infty ), z(t)\geq y(t)$
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Mar 1
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2.7k
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gate2020me2
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GATE2020ME238
The casual realization of a system transfer function $H(s)$ having poles at $(2,1),(2,1)$ and zeros at $(2,1),(2,1)$ will be stable, real, allpass unstable, complex, allpass unstable, real, highpass stable, complex, lowpass
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Mar 1
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gate2020me2
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GATE2020ME239
Which of the following options is true for a linear timeinvarient discrete time system that obeys the difference equations: $y[n]ay[n1]=b _{0}x[n]b_{1}x[n1]$ $y[n]$ is unaffected by the values of $x[nk];k> 2$ The system is necessarily causal The ... at infinitely many instants When $x[n]= 0,n< 0$, the function $y[n];n> 0$ is solely determined by the function $x[n]$
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Mar 1
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jothee
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2.7k
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gate2020me2
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GATE2020ME240
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 $D= (a_{r}\: 15+a_{\phi }\:2r  a_{z}\:3rz)\: \text{Coulomb}/m^{2}$, the total electric ... and height $5\:m$ along the $z$axis with its base at the origin is; $54\:\pi$ $90\:\pi$ $108\:\pi$ $180\:\pi$
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Mar 1
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jothee
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2.7k
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gate2020me2
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GATE2020ME241
A stable real linear timeinvariant system with single pole at $p$, has a transfer function $H(s)= \dfrac{s^{2}+100}{sp}$ with a dc gain of $5$. The smallest positive frequency, in rad/s, at unity gain closest to: $8.84$ $11.08$ $78.13$ $122.87$
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Mar 1
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jothee
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2.7k
points)
gate2020me2
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GATE2020ME242
The number of purely real elements in a lower triangular representation of the given $3\times 3$ ... $5$ $6$ $8$ $9$
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Mar 1
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jothee
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2.7k
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gate2020me2
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GATE2020ME243
The figure below shows the perphase Open Circuit Characteristics $(\text{measured in}\: V)$ and Short Circuit Characteristics $(\text{measured in}\: A)$ of a $14\: kVA, 400\: V, 50\: Hz, 4$pole, $3$phase, delta connected alternator, driven at $1500\: \text{rpm}.$ The ... $2.100$ $2.025$ $2.000$ $1.000$
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Mar 1
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jothee
(
2.7k
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gate2020me2
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GATE2020ME244
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 $C$, which follows the parabola $y= x^{2}$ as shown below is _______ (rounded off to $2$ decimal places).
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Mar 1
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jothee
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2.7k
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gate2020me2
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GATE2020ME245
A resistor and a capacitor are connected in series to a $10\: V$ dc supply through a switch. The switch is closed at $t= 0$, and the capacitor voltage is found to cross $0\: V$ at $t= 0.4\tau$, where $\tau$ is the circuit time constant. ... required in the initial capacitor voltage if the zero crossing has to happen at $t=0.2\tau$ is ________ (rounded off to $2$ decimal places).
asked
Mar 1
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by
jothee
(
2.7k
points)
gate2020me2
numericalanswers
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GATE2020ME246
A cylindrical rotor synchronous generator with constant real power output and constant voltage is supplying $100\: A$ current to a $0.9$ lagging power factor load. An ideal reactor is now connected in parallel with the load, as a result of which the ... previous value while the real power remains unchanged. The armature current is now_______ $A$ (rounded off to $2$ decimal places).
asked
Mar 1
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by
jothee
(
2.7k
points)
gate2020me2
numericalanswers
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GATE2020ME247
Bus $1$ with voltage magnitude $V_{1}= 1.1$ pu is sending reactive power $Q_{12}$ towards bus $2$ with voltage magnitude $V_{2}= 1$ pu through a lossless transmission line of reactance $X$. Keeping the voltage at bus $2$ fixed at $1$ pu, magnitude of voltage ... zero. 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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Mar 1
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by
jothee
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2.7k
points)
gate2020me2
numericalanswers
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GATE2020ME248
Windings $' A','B'\: \text{and}\: C'$ have $20$ turns each and are wound on the same iron core as shown, along with winding $'X'$ which has $2$ turns. The figure shows the sense (clockwise/anticlockwise) of each of the windings only and does not reflect the ... noload $RMS$ voltage $\text{(in V, rounded off to }\:$2$\: \text{decimal places)}$ across winding $'X'$ is ________.
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Mar 1
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by
jothee
(
2.7k
points)
gate2020me2
numericalanswers
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GATE2020ME249
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 $(1+j0)$ pu terminal voltage with an internal emf of $(1+j0.7)$ pu. Following a threephase ... at the terminal of the generator, the magnitude of the subtransient internal emf (rounded off to $2$ decimal places) is ______ pu.
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Mar 1
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jothee
(
2.7k
points)
gate2020me2
numericalanswers
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GATE2020ME250
In the dcdc converter circuit shown, switch $Q$ 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 indicator is zero. Energy stored in the inductor in $mJ$ (rounded off to $2$ decimal places) at the end of $10$ complete switching cycles is________.
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Mar 1
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jothee
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2.7k
points)
gate2020me2
numericalanswers
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GATE2020ME251
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 have negligible ... $\alpha = 45^{\circ}$, the communication overlap angle in degree (rounded off to $2$ decimal places) is ________,
asked
Mar 1
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by
jothee
(
2.7k
points)
gate2020me2
numericalanswers
0
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GATE2020ME252
A nonideal Sibased $pn$ junction diode is tested by sweeping the bias applied across its terminal from $5\: V$ to $+5\: V.$ The effective thermal voltage, $V_{T}$, for the diode is measured to be $(29\pm 2)\: mV.$ The resolution of the ... $2$ decimal places) in the measured current at a bias voltage of $0.02\: V$ is ________.
asked
Mar 1
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jothee
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2.7k
points)
gate2020me2
numericalanswers
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GATE2020ME253
The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperaturedependent resistance $R_{\text{thermistor}}= 2(1+\alpha T) k\Omega$, where $T$ is the temperature in $^{\circ}C$. The temperature ... . The error in the output signal (in $V,$ rounded off to $2$ decimal places) at $150^{\circ}C$ is _______.
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Mar 1
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by
jothee
(
2.7k
points)
gate2020me2
numericalanswers
0
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0
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GATE2020ME254
An $8085$ microprocessor accesses two memory locations $(2001H)$ and $(2002H),$ that contain $8$bit numbers $98H$ and $B1H,$ respectively. The following program is executed: $LXI\: H,2001H$ $MVI\: A, 21H$ $INX\: H$ $ADD\: M$ $INX\: H$ $MOV\: M, A$ $HLT$ At the end of this program, the memory location $2003H$ contains the number in decimal $(\text{base}\: 10)$ form______.
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Mar 1
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jothee
(
2.7k
points)
gate2020me2
numericalanswers
0
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GATE2020ME255
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 wire is ______.
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Mar 1
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jothee
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2.7k
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gate2020me2
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