Recent activity - GO Electrical

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1

GATE2020-EE-55
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 __________.

edited Mar 3 in new by Krithiga2101 (100 points)

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2

GATE2020-EE-54
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 _____________.

edited Mar 3 in new by Krithiga2101 (100 points)

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3

GATE2020-EE-53
The temperature of the coolant oil bath for a transformer is monitored using the circuit shown. It contains a thermistor with a temperature-dependent 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 ____________.

edited Mar 3 in new by Krithiga2101 (100 points)

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4

GATE2020-EE-52
A non-ideal $\text{Si}$-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 ____________.

edited Mar 3 in new by Krithiga2101 (100 points)

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5

GATE2020-EE-51
A single-phase, full-bridge, 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 _______________.

edited Mar 3 in new by Krithiga2101 (100 points)

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6

GATE2020-EE-50
In the $\text{dc-dc}$ 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 _________.

edited Mar 3 in new by Krithiga2101 (100 points)

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7

GATE2020-EE-49
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 ____________ $\text{pu}$.

edited Mar 3 in new by Krithiga2101 (100 points)

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8

GATE2020-EE-48
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/anti-clockwise) 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 _______________.

edited Mar 3 in Others by Krithiga2101 (100 points)

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9

GATE2020-EE-47
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___________________.

edited Mar 3 in new by Krithiga2101 (100 points)

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10

GATE2020-EE-46
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).

edited Mar 3 in new by Krithiga2101 (100 points)

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11

GATE2020-EE-37
Suppose for input $x(t)$ a linear time-invariant system with impulse response $h(t)$ produces output $y(t)$,so that $x\left ( t \right )*h\left ( t \right )=y\left ( t \right )$ ... $t\:\in \left ( -\infty, \infty \right ),z\left ( t \right )\geq y\left ( t \right )$

edited Mar 3 in new by Krithiga2101 (100 points)

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12

GATE2020-EE-45
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).

edited Mar 3 in new by Krithiga2101 (100 points)

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13

GATE2020-EE-44
Let $a_{x}$ and $a_{y}$ be unit vectors along $x$ and $y$ directions, respectively. A vector function is given by $F=a_{x}y-a_{y}x$ 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).

edited Mar 3 in new by Krithiga2101 (100 points)

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14

GATE2020-EE-43
The figure below shows the per-phase 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 $1500$ ... $2.100$ $2.025$ $2.000$ $1.000$

edited Mar 3 in new by Krithiga2101 (100 points)

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15

GATE2020-EE-42
The number of purely real elements in a lower triangular representation of the given $3\times 3$ ... $5$ $6$ $8$ $9$

edited Mar 3 in new by Krithiga2101 (100 points)

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16

GATE2020-EE-41
A stable real linear time-invariant system with single pole at $\text{p}$, has a transfer function $H\left ( s \right )=\large\frac{s^{2}+100}{s-p}$ with a $\text{dc}$ gain of $5$. The smallest positive frequency, in $\text{rad/s}$, at unity gain is closest to: $8.84$ $11.08$ $78.13$ $122.87$

edited Mar 3 in new by Krithiga2101 (100 points)

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17

GATE2020-EE-40
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: $54\:\pi$ $90\:\pi$ $108\:\pi$ $180\:\pi$

edited Mar 3 in new by Krithiga2101 (100 points)

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18

GATE2020-EE-39
Which of the following options is true for a linear time-invariant discrete time system that obeys the difference equation: $y\left [ n \right ]-ay\left [ n-1 \right ]=b_{0}x\left [ n \right ]-b_{1}x\left [ n-1 \right ]$ $y[n]$ ... $y\left [ n \right];n > 0$ is solely determined by the function $x[n]$.

edited Mar 3 in new by Krithiga2101 (100 points)

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19

GATE2020-EE-38
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

edited Mar 3 in new by Krithiga2101 (100 points)

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20

GATE2020-EE-36
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 ____________. $9$ $8$ $7$ $6$

edited Mar 3 in new by Krithiga2101 (100 points)

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21

GATE2020-EE-34
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 $\large\frac{10}{0.5s+1}$ $\large\frac{2}{0.5s+1}$ $\large\frac{2}{s+0.5}$ $\large\frac{10}{s+0.5}$

edited Mar 3 in new by Krithiga2101 (100 points)

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22

GATE2020-EE-35
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}$

edited Mar 3 in new by Krithiga2101 (100 points)

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23

GATE2020-EE-33
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 $E=a_{r}2r+a_{\varphi }\left ( \frac{3}{r} \right )+a_{z}6$ ... $3\varepsilon _{0}$ $4\varepsilon _{0}$ $5\varepsilon _{0}$ $9\varepsilon _{0}$

edited Mar 3 in new by Krithiga2101 (100 points)

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24

GATE2020-EE-32
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}$

edited Mar 3 in new by Krithiga2101 (100 points)

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25

GATE2020-EE-31
A non-ideal 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: $-0.02$ $-0.09$ $-1.50$ $-4.50$

edited Mar 3 in new by Krithiga2101 (100 points)

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26

GATE2020-EE-30
Consider the diode circuit shown below. The diode, D, obeys the current-voltage 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 $\text{large}$ $R_{2}$.

edited Mar 3 in new by Krithiga2101 (100 points)

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27

GATE2020-EE-29
Two buses, $\text{i and j}$, are connected with a transmission line admittance $\text{y}$ ...

edited Mar 3 in new by Krithiga2101 (100 points)

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28

GATE2020-EE-28
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 no-load 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: $1200$ $1000$ $1220$ $900$

edited Mar 3 in new by Krithiga2101 (100 points)

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29

GATE2020-EE-27
The vector function expressed by $F=a_{x}\left ( 5y-k_{1} z\right )+a_{y}\left ( 3z+k_{2}x \right )+a_{z}\left ( k_{3} y-4x\right )$ represents a conservative field, where $a_{x}, a_{y},a_{z}$ are unit vectors along $\text{x, y and z}$ ... $k_{1}=3, k_{2}=8,k_{3}=5$ $k_{1}=4, k_{2}=5,k_{3}=3$ $k_{1}=0, k_{2}=0,k_{3}=0$

edited Mar 3 in new by Krithiga2101 (100 points)

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30

GATE2020-EE-26
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, ______. $\text{7 and 1/4}$. $\text{7 and 1}$. $\text{-2 and -1/2}$. $\text{1 and 1/4}$.

edited Mar 3 in new by Krithiga2101 (100 points)

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31

GATE2020-EE-25
The cross-section of a metal-oxide-semiconductor 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___________

edited Mar 3 in new by Krithiga2101 (100 points)

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32

GATE2020-EE-24
Consider a negative unity feedback system with forward path transfer function $G\left ( s \right )=\frac{K}{\left ( s+a \right )\left ( s-b \right )\left ( s+c \right )}$, 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__________.

edited Mar 3 in new by Krithiga2101 (100 points)

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33

GATE2020-EE-21
A single-phase, $\text{4 kVA}$, $\text{200 V/100 V}$, $\text{50 Hz}$ transformer with laminated $\text{CRGO}$ steel core has rated no-load loss of $\text{450 W}$. When the high-voltage winding is excited with $\text{160 V}$, $\text{40 Hz}$ ... $\text{25 Hz}$ sinusoidal ac source, the no-load losses will be _____________________$\text{W}$ (rounded off to $2$ decimal places).

edited Mar 3 in new by Krithiga2101 (100 points)

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34

GATE2020-EE-22
A single-phase inverter is fed from a $\text{100 V}$ dc source and is controlled using a quasi-square wave modulation scheme to produce an output waveform, $\nu\left ( t \right )$, as shown. The angle $\sigma$ is adjusted to entirely ... $2$ decimal places).

edited Mar 3 in new by Krithiga2101 (100 points)

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35

GATE2020-EE-23
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).

edited Mar 3 in new by Krithiga2101 (100 points)

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36

GATE2020-EE-20
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 ... entering $1, 2, 3, or\:4$) at which the $\text{IGBT}$ experiences the highest current stress is _________.

edited Mar 3 in new by Krithiga2101 (100 points)

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37

GATE2020-EE-19
The Thevenin equivalent voltage, $V_{TH}$, in $\text{V}$ (rounded off to $2$ decimal places) of the network shown below, is _______

edited Mar 3 in new by Krithiga2101 (100 points)

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38

GATE2020-EE-18
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_______$\text{A}$.

edited Mar 3 in new by Krithiga2101 (100 points)

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39

GATE2020-EE-17
A three-phase, $\text{50 Hz}$, $4$-pole induction motor runs at no-load 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 _____________________.

edited Mar 3 in new by Krithiga2101 (100 points)

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40

GATE2020-EE-16
Consider the initial value problem below. The value of y at $x=\ln{2}$, (rounded off to $3$ decimal places) is_____________________. $\frac{\mathrm{d} y}{\mathrm{d} x}=2x-y,\:\:y\left ( 0 \right )=1$

edited Mar 3 in new by Krithiga2101 (100 points)