Recent questions tagged numerical-answers

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GATE Electrical 2022 | Question: 16
A $\text{MOD 2}$ and a $\text{MOD 5}$ up-counter when cascade together results in a $\text{MOD}$ _________________ counter. (in integer)

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GATE Electrical 2022 | Question: 17
An inductor having a $Q$ – factor of $60$ is connected in series with a capacitor having a $Q$ – factor of $240$. The overall $Q$ -factor of the circuit is _______________. (round off to nearest integer)

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GATE Electrical 2022 | Question: 18
The network shown below has a resonant frequency of $150$ $\text{kHz}$ and a bandwidth of $600$ $\text{Hz}$. The $Q$ –factor of the network is ______________. (round off to nearest integer)

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4

GATE Electrical 2022 | Question: 19
The maximum clock frequency in $\text{MHz}$ of a $4$ – stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of $20\:ns$, is _______________. (round off to one decimal place)

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GATE Electrical 2022 | Question: 20
If only $5\%$ of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ________________. (round off to nearest integer)

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6

GATE Electrical 2022 | Question: 21
In the circuit shown below, the switch $S$ is closed at $t = 0$. The magnitude of the steady state voltage, in volts, across the $6 \Omega$ resistor is ________________. (round off to two decimal places)

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GATE Electrical 2022 | Question: 22
A single-phase full-bridge diode rectifier feeds a resistive load of $50\; \Omega$ from a $200\:V$, $50\:Hz$ single phase $\text{AC}$ supply. If the diodes are ideal, then the active power, in watts, drawn by the load is __________________. (round off to nearest integer)

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8

GATE Electrical 2022 | Question: 23
The voltage at the input of an $\text{AC-DC}$ rectifier is given by $v\left ( t \right ) = 230 \sqrt{2} \sin \omega t$ where $\omega = 2\pi \times 50$ ... . The input power factor, (rounded off to two decimal places), is, _______________________ lag.

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GATE Electrical 2022 | Question: 24
Two balanced three-phase loads, as shown in the figure, are connected to a $100\sqrt{3}\:V$, three-phase, $50\:Hz$, main supply. Given $Z_{1} = \left ( 18 +j24 \right )\Omega$ and $Z_{2} = \left ( 6 +j8 \right )\Omega$. The ammeter reading, in amperes, is ____________________. (round off to nearest integer)

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10

GATE Electrical 2022 | Question: 25
The frequencies of the stator and rotor currents flowing in a three-phase $8$-pole induction motor are $40\:Hz$ and $1\:Hz$, respectively. The motor speed, in $\text{rpm}$, is ________________. (round off to nearest integer)

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11

GATE Electrical 2022 | Question: 44
Let the probability density function of a random variable $x$ be given as $f\left ( x \right ) = ae^{-2\left | x \right |}$ The value of $’a’$ is _________________.

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12

GATE Electrical 2022 | Question: 45
In the circuit shown below, the magnitude of the voltage $V_{1}$ in volts, across the $8\:k\Omega$ resistor is ______. (round off to nearest integer)

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13

GATE Electrical 2022 | Question: 46
Two generating units rated for $250$ $\text{MW}$ and $400$ $\text{MW}$ have governor speed regulations of $6\%$ and $6.4\%$, respectively, from no load to full load. Both the generating units are operating in parallel to share a load ... the load shared in $\text{MW}$, by the $250$ $\text{MW}$ generating unit is __________________.(round off to nearest integer)

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14

GATE Electrical 2022 | Question: 47
A $20$ $\text{MVA}$, $11.2$ $\text{kV}$, $4$-pole, $50$ $\text{Hz}$ alternator has an inertia constant of $15$ $\text{MJ/MVA}$. If the input and output powers of the alternator are $15$ $\text{MW}$ and $10$ $\text{MW}$, respectively, the angular acceleration in mechanical degree/$s^{2}$ is _____________.(round off to nearest integer)

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15

GATE Electrical 2022 | Question: 48
Consider an ideal full-bridge single-phase $\text{DC-AC}$ inverter with a $\text{DC}$ bus voltage magnitude of $1000$ $\text{V}$. The inverter output voltage $v\left ( t \right )$ shown below, is obtained when diagonal switches of the ... . The active power, in watts, delivered to the load is _____________. (round off to nearest integer)

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16

GATE Electrical 2022 | Question: 49
For the ideal $\text{AC-DC}$ rectifier circuit shown in the figure below, the load current magnitude is $I_{dc} = 15 A$ and is ripple free. The thyristors are fired with a delay angle of $45^{\circ}$. The amplitude of the fundamental component of the source current, in amperes, is _______________. (round off to two decimal places)

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17

GATE Electrical 2022 | Question: 50
A $3$-phase grid-connected voltage source converter with $\text{DC}$ link voltage of $1000$ $\text{V}$ is switched using sinusoidal Pulse Width Modulation $\text{(PWM)}$ technique. If the grid phase current is $10$\text{ A}$ and the $ ... $\text{VA}$, then the modulation index used in sinusoidal $\text{PWM}$ is _____________. (round off to two decimal places)

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18

GATE Electrical 2022 | Question: 51
The steady state current flowing through the inductor of a $\text{DC – DC}$ buck boost converter is given in the figure below. If the peak-to-peak ripple in the output voltage of the converter is $1 V$, then the value of the output capacitor, in $\mu F$, is ________________. (round off to nearest integer)

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19

GATE Electrical 2022 | Question: 52
A $280 \;V$, separately excited $\text{DC}$ motor with armature resistance of $1\:\Omega$ and constant field excitation drives a load. The load torque is proportional to the speed. The motor draws a current of $30 A$ when ... additional resistance of value $10\:\Omega$ is connected in series with the armature, is _____________. (round off to nearest integer)

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20

GATE Electrical 2022 | Question: 53
A $4$-pole induction motor with inertia of $0.1\; kg-m^{2}$ drives a constant load torque of $2\; Nm$. The speed of the motor is increased linearly from $1000$ $\text{rpm}$ to $1500$ $\text{rpm}$ in $4$ ... Neglect losses in the motor. The energy, in joules, consumed by the motor during the speed change is ____________________. (round off to nearest integer)

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21

GATE Electrical 2022 | Question: 54
A star-connected $3$-phase, $400\; V$, $50$ $\text{ kVA}$, $50\; Hz$ synchronous motor has a synchronous reactance of $1$ $\text{ohm}$ per phase with negligible armature resistance. The shaft load on the motor is $10$ $\text{kW}$ ... $2\:kW$. The magnitude of the per phase excitation emf of the motor, in volts, is ______________. (round off to nearest integer).

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22

GATE Electrical 2022 | Question: 55
A $3$-phase, $415\; V$, $4$-pole, $50\:Hz$ induction motor draws $5$ times the rated current at rated voltage at starting. It is required to bring down the starting current from the supply to $2$ times of ... of the autotransformer is neglected, then the transformation ratio of the autotransformer is given by ________________. (round off to two decimal places).

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23

GATE Electrical 2021 | Question: 13
Suppose the circles $x^{2}+y^{2}=1$ and $\left ( x-1\right )^{2}+\left ( y-1 \right )^{2}=r^{2}$ intersect each other orthogonally at the point $\left ( u,v \right )$. Then $u+v=$ _______________.

Arjun asked in Calculus Feb 20, 2021

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24

GATE Electrical 2021 | Question: 14
In the given circuit, the value of capacitor $C$ that makes current $I=0$ is ________________ $\mu F$.

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25

GATE Electrical 2021 | Question: 15
Two single-core power cables have total conductor resistances of $0.7\;\Omega$ and $0.5\;\Omega$, respectively, and their insulation resistances (between core and sheath) are $600\;M\Omega$ and $900\;M\Omega$, respectively. When the two cables are joined in series, the ratio of insulation resistance to conductor resistance is ___________$\times 10^{6}$.

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26

GATE Electrical 2021 | Question: 16
In the given circuit, for voltage $V_y$ to be zero, the value of $\beta$ should be _________. (Round off to $2$ decimal places).

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27

GATE Electrical 2021 | Question: 17
A $1\;\mu C$ point charge is held at the origin of a cartesian coordinate system. If a second point charge of $10\;\mu C$ is moved from $\left ( 0,10,0 \right )$ to $\left ( 5,5,5\right )$ and subsequently to $\left ( 5,0,0\right )$, ... decimal places). Take $\dfrac{1}{4\pi \varepsilon _{0}}=9\times 10^{9}$ in $\text{SI}$ units. All coordinates are in meters.

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28

GATE Electrical 2021 | Question: 18
The power input to a $\text{500 V, 50 Hz, 6-pole, 3-phase}$ induction motor running at $975 \text{RPM}$ is $40 \text{ kW}$ . The total stator losses are $1 \text{ kW}$. If the total friction and windage losses are $2.025\text{ kW}$, then the efficiency is _____________$\%$.

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29

GATE Electrical 2021 | Question: 19
An alternator with internal voltage of $1\angle \delta _{1}\text{p.u}$ and synchronous reactance of $\text{0.4 p.u}$ is connected by a transmission line of reactance $\text{0.1 p.u}$ ... $2$ decimal places.) (Machines are of non-salient type. Neglect resistances.)

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30

GATE Electrical 2021 | Question: 20
The Bode magnitude plot for the transfer function $\frac{V_{o}\left ( s \right )}{V_{i}\left ( s \right )}$ of the circuit is as shown. The value of $R$ is _____________$\Omega$. (Round off to $2$ decimal places.)

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31

GATE Electrical 2021 | Question: 21
A signal generator having a source resistance of $50\:\Omega$ is set to generate a $\text{1 kHz}$ sinewave. Open circuit terminal voltage is $\text{10 V}$ peak-to-peak. Connecting a capacitor across the terminals reduces the voltage to $\text{8 V}$ peak-to-peak. The value of this capacitor is _____________$\mu F$. (Round off to $2$ decimal places.)

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32

GATE Electrical 2021 | Question: 22
A $16$-bit synchronous binary up-counter is clocked with a frequency $f_{\text{CLK}}$.The two most significant bits are $\text{OR-ed}$ together to form an output $Y$. Measurements show that $Y$ is periodic, and the duration for which $Y$ remains high ... $f_{\text{CLK}}$ is ____________$\text{MHz}.$ (Round off to $2$ decimal places.)

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33

GATE Electrical 2021 | Question: 23
In the $\text{BJT}$ circuit shown, beta of the $\text{PNP}$ transistor is $100$. Assume $V_{\text{BE}}=-0.7\;V$. The voltage across $R_{c}$ will be $\text{5 V}$ when $R_{2}$ is __________ $k \Omega$. (Round off to $2$ decimal places.)

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34

GATE Electrical 2021 | Question: 24
In the circuit shown, the input $V_{i}$ is a sinusoidal $\text{AC}$ voltage having an $\text{RMS}$ value of $230\;V\pm 20\%$. The worst-case peak-inverse voltage seen across any diode is ____________$V$. (Round off to $2$ decimal places.)

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35

GATE Electrical 2021 | Question: 25
In the circuit shown, a $\text{5 V}$ Zener diode is used to regulate the voltage across load $R_{0}$. The input is an unregulated $DC$ voltage with a minimum value of $\text{6 V}$ and a maximum value of $\text{8 V}$ ... dissipation of $\text{2.5 W}$. Assuming the Zener diode to be ideal, the minimum value of $R_{0}$ is _________________ $\Omega$.

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36

GATE Electrical 2021 | Question: 38
Let $A$ be a $10\times10$ matrix such that $A^{5}$ is a null matrix, and let $I$ be the $10\times10$ identity matrix. The determinant of $\text{A+I}$ is ___________________.

Arjun asked in Linear Algebra Feb 20, 2021

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37

GATE Electrical 2021 | Question: 39
A three-phase balanced voltage is applied to the load shown. The phase sequence is $\text{RYB}$. The ratio $\frac{\left | I_{B} \right |}{|I_{R}|}$ is ____________.

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38

GATE Electrical 2021 | Question: 40
In the given circuit, for maximum power to be delivered to $R_{L}$, its value should be ______________ $\Omega$. (Round off to $2$ decimal places.)

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39

Arjun asked in Transform Theory Feb 20, 2021

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40

GATE Electrical 2021 | Question: 48
The waveform shown in solid line is obtained by clipping a full-wave rectified sinusoid (shown dashed). The ratio of the $\text{RMS}$ value of the full-wave rectified waveform to the $\text{RMS}$ value of the clipped waveform is _______________. (Round off to $2$ decimal places.)

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