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Recent questions tagged gate2020ee
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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 $\text{x, y and z}$ ... $k_{1}=3, k_{2}=8,k_{3}=5$ $k_{1}=4, k_{2}=5,k_{3}=3$ $k_{1}=0, k_{2}=0,k_{3}=0$
asked
Feb 28
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jothee
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1.4k
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gate2020ee
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GATE2020EE28
A $\text{250 V}$ 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 $\text{5 A}$ and runs at $\text{1200 rpm}$ ... 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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Feb 28
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jothee
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1.4k
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gate2020ee
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GATE2020EE29
Two buses, $\text{i and j}$, are connected with a transmission line admittance $\text{y}$ ...
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Feb 28
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jothee
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1.4k
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gate2020ee
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GATE2020EE30
Consider the diode circuit shown below. The diode, D, obeys the currentvoltage characteristic $I_{D}=I_{S}\left ( exp\left ( \frac{V_{D}}{nV_{T}} \right )1 \right )$, where $n> 1, V_{T}> 0, V_{D}$ is the voltage across the diode and $I_{D}$ is the current through it. ... $\text{Large}$ $R_{1}$ and $\text{small}$ $R_{2}$. $\text{Small}$ $R_{1}$ and $\text{large}$ $R_{2}$.
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Feb 28
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jothee
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1.4k
points)
gate2020ee
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5
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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Feb 28
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jothee
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1.4k
points)
gate2020ee
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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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Feb 28
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jothee
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1.4k
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gate2020ee
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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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Feb 28
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jothee
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1.4k
points)
gate2020ee
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8
GATE2020EE38
The causal realization of a system transfer function $\text{H(s)}$ 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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Feb 28
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jothee
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1.4k
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gate2020ee
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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 $x[n]$.
asked
Feb 28
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jothee
(
1.4k
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gate2020ee
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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 $D=\left ( a_{r}15+a_{\phi } 2r  a_{z} 3rz \right )\:Coulomb/m^{2}$, the total electric ... $\text{z}$axis with its base at the origin is: $54\:\pi$ $90\:\pi$ $108\:\pi$ $180\:\pi$
asked
Feb 28
in
new
by
jothee
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1.4k
points)
gate2020ee
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11
GATE2020EE41
A stable real linear timeinvariant system with single pole at $\text{p}$, has a transfer function $H\left ( s \right )=\large\frac{s^{2}+100}{sp}$ 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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Feb 28
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jothee
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1.4k
points)
gate2020ee
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12
GATE2020EE42
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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Feb 28
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jothee
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1.4k
points)
gate2020ee
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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 $\text{14 kVA}$, $\text{400 V}$, $\text{50 Hz}$, $4$pole, $3$phase, delta connected alternator, driven at $1500$ ... $2.100$ $2.025$ $2.000$ $1.000$
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Feb 28
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jothee
(
1.4k
points)
gate2020ee
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14
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).
asked
Feb 28
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by
jothee
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1.4k
points)
gate2020ee
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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).
asked
Feb 28
in
new
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jothee
(
1.4k
points)
gate2020ee
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16
GATE2020EE46
A cylindrical rotor synchronous generator with constant real power output and constant terminal voltage is suppling $\text{100 A}$ 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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Feb 28
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jothee
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1.4k
points)
gate2020ee
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GATE2020EE47
Bus 1 with voltage magnitude $\text{$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 $2$ ... value of the voltage magnitude, $V_{1}$, in $\text{pu}$ ( rounded off to $2$ decimal places), at bus $1$ is___________________.
asked
Feb 28
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by
jothee
(
1.4k
points)
gate2020ee
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18
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 _______________.
asked
Feb 28
in
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jothee
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1.4k
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gate2020ee
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19
GATE2020EE49
A cylindrical rotor synchronous generator has steady state synchronous reactance of $\text{0.7 pu}$ and subtransient reactance of $\text{0.2 pu}$. It is operating at $\left ( 1+j0 \right )$ $\text{pu}$ terminal voltage with an internal $\text{emf}$ ... generator, the magnitude of the subtransient internal $\text{emf}$ (rounded off to $2$ decimal places) is ____________ $\text{pu}$.
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Feb 28
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jothee
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1.4k
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gate2020ee
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20
GATE2020EE50
In the $\text{dcdc}$ converter circuit shown, switch $\text{Q}$ is switched at a frequency of $\text{10 kHz}$ 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 _________.
asked
Feb 28
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jothee
(
1.4k
points)
gate2020ee
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21
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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Feb 28
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jothee
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1.4k
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gate2020ee
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22
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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Feb 28
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jothee
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1.4k
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gate2020ee
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23
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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Feb 28
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jothee
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1.4k
points)
gate2020ee
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24
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: $\text{LXI H,2001H}$ $\text{MVI A, 21 H}$ ... $\text{2003H}$ contains the number in decimal $\text{(base 10)}$ form _____________.
asked
Feb 28
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jothee
(
1.4k
points)
gate2020ee
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25
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 __________.
asked
Feb 28
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jothee
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1.4k
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gate2020ee
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