Recent questions without an upvoted answer

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1

GATE2019 EE: 31
Consider a state-variable model of a system $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ -\alpha & - 2 \beta \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} + \begin{bmatrix} 0 \\ \alpha \end{bmatrix} r $ ... $\omega_n = \sqrt{\beta}$ $\xi = \sqrt{\beta} $; $\omega_n = \sqrt{\alpha} $

asked Feb 12, 2019 in new by Arjun (5.4k points)

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2

GATE2019 EE: 32
A moving coil instrument having a resistance of $10 \: \Omega$, gives a full-scale deflection when the current is $10$ mA. What should be the value of the series resistance, so that it can be used as a voltmeter for measuring potential difference up to $100$ V? $9 \: \Omega$ $99 \: \Omega$ $990 \: \Omega$ $9990 \: \Omega$

asked Feb 12, 2019 in new by Arjun (5.4k points)

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3

GATE2019 EE: 33
The enhancement type MOSFET in the circuit below operates according to the square law. $\mu _nC_{ox} =100 \: \mu A /V^2$, the threshold voltage $(V_T)$ is $500$ mV. Ignore channel length modulation. The output voltage $V_{\text{out}}$ is $100$ mV $500$ mV $600$ mV $2$ V

asked Feb 12, 2019 in new by Arjun (5.4k points)

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4

GATE2019 EE: 34
In the circuit below, the operational amplifier is ideal. If $V_1=10$ mV and $V_2=50$ mV, he output voltage $(V_{\text{out}})$ is $100$ mV $400$ mV $500$ mV $600$ mV

asked Feb 12, 2019 in new by Arjun (5.4k points)

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5

GATE2019 EE: 35
The output expression for the Karnaugh map shown below is $Q \bar{R} +S$ $Q \bar{R} + \bar{S}$ $QR+S$ $Q R +\bar{S}$

asked Feb 12, 2019 in new by Arjun (5.4k points)

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6

GATE2019 EE: 36
In the circuit shown below, $X$ and $Y$ are digital inputs, and $Z$ is a digital output. The Equivalent circuit is a NAND gate NOR gate XOR gate XNOR gate

asked Feb 12, 2019 in new by Arjun (5.4k points)

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7

GATE2019 EE: 37
A DC-DC buck converter operates in continuous conduction mode. It has $48$ V input voltage, and it feeds a resistive load of $24 \: \Omega$. The switching frequency of the converter is $250$ Hz. If switch-on duration is $1$ ms, the load power is $6$ W $12$ W $24$ W $48$ W

asked Feb 12, 2019 in new by Arjun (5.4k points)

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8

GATE2019 EE: 38
The line currents of a three-phase four wire system are square waves with amplitude of $100$ A. These three currents are phase shifted by $120^{\circ}$ with respect to each other. The rms value of neutral current is $0$ A $\frac{100}{\sqrt{3}}$ A $100$ A $300$ A

asked Feb 12, 2019 in new by Arjun (5.4k points)

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9

GATE2019 EE: 39
If $\textbf{A}= 2x \textbf{i} + 3y \textbf{j} +4z \textbf{k}$ and $u=x^2+y^2+z^2$, then $\text{div} \big(u \textbf{A} \big)$ at $(1,1,1)$ is _______

asked Feb 12, 2019 in new by Arjun (5.4k points)

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10

GATE2019 EE: 40
The probability of a resistor being deflective is $0.02$. There are $50$ such resistors in a circuit. The probability of two or more defective resistors in the circuit (round off to two decimal places) is _______________

asked Feb 12, 2019 in new by Arjun (5.4k points)

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11

GATE2019 EE: 41
A $0.1 \mu F$ capacitor charged to $100$ V is discharged through a $1 \: k \Omega$ resistor. The time in ms (round off to two decimal places) required for the voltage across the capacitor to drop to $1$ V is _________

asked Feb 12, 2019 in new by Arjun (5.4k points)

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12

GATE2019 EE: 42
The current $I$ flowing in the circuit shown in amperes is ____________

asked Feb 12, 2019 in new by Arjun (5.4k points)

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13

GATE2019 EE: 43
The voltage across and the current through a load are expressed as follows $v(t)=-170 \sin \bigg( 377t- \frac{\pi}{6} \bigg) V$ $i(t) =8 \cos \bigg( 377t + \frac{\pi}{6} \bigg) A$ The average power in watts (round off to one decimal place) consumed by the load is _________.

asked Feb 12, 2019 in new by Arjun (5.4k points)

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14

GATE2019 EE: 44
The magnetic circuit shown below has uniform cross-sectional area and air gap of $0.2$ cm. The mean path length of the core is $40$ cm. Assume that leakage and fringing fluxes are negligible. When the core relative permeability is assumed to be infinite, the ... to be $1000$ (linear), the flux density in tesla (round off to three decimal places) calculated in the air gap is _______

asked Feb 12, 2019 in new by Arjun (5.4k points)

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15

GATE2019 EE: 45
A single-phase transformer of rating $25$ kVA, supplies a $12$ kW load at power factor of $0.6$ lagging. The additional load at unity power factor in kW (round off to two decimal places) that may be added before this transformer exceeds its rated kVA is ________

asked Feb 12, 2019 in new by Arjun (5.4k points)

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16

GATE2019 EE: 46
A $220$ V DC shunt motor takes $3$ A at no-load. It draws $25$ A when running at full-load at $1500$ rpm. The armature and shunt resistance are $0.5 \: \Omega$ and $220 \: \Omega$, respectively. The no-load speed in rpm (round off to two decimal places) is _____.

asked Feb 12, 2019 in new by Arjun (5.4k points)

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17

GATE2019 EE: 47
A delta-connected, $3.7$ kW, $400$ V(line), three-phase, $4$-pole, $50$-Hz squirrel-cage induction moor has the following equivalent circuit parameters per phase referred to the stator: $R_1=5.39 \: \Omega$, $R_2=5.72 \: \Omega$ ... in amperes (round off to two decimal places) when it is connected to a $100$ V(line), $10$ Hz, three-phase AC source is _______

asked Feb 12, 2019 in new by Arjun (5.4k points)

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18

GATE2019 EE: 48
A $220$ V(line), three-phase, Y-connected, synchronous motor has a synchronous impedance of $(0.25+j2.5) \: \Omega/\text{phase}$. The motor draws the rated current of $10$ A at $0.8$ pf leading. The rms value of line-to-line internal voltage in volts (round off to two decimal places) is _________

asked Feb 12, 2019 in new by Arjun (5.4k points)

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19

GATE2019 EE: 49
A three-phase $50$ Hz, $400$ kV transmission line is $300$ km long. The line inductance is $1$ mH/km per phase, and the capacitance is $0.01 \: \mu F/km$ per phase. The line is under open circuit condition at the receiving end and energized with $400$ kV at the sending end, the receiving end line voltage in kV (round off to two decimal places) will be _________

asked Feb 12, 2019 in new by Arjun (5.4k points)

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20

GATE2019 EE: 50
A $30$ kV, $50$ Hz, $50$ MVA generator has the positive, negative, and zero sequence reactances of $0.25$ pu, $0.15$ pu, and $0.05$ pu, respectively. The neutral of the generator is grounded with a reactance so that the fault ... bolted three-phase fault at the generator terminal are equal. The value of grounding reactance in ohms (round off to one decimal place) is ___________

asked Feb 12, 2019 in new by Arjun (5.4k points)

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21

GATE2019 EE: 51
In the single machine infinite bus system shown below, the generator is delivering the real power of $0.8$ pu at $0.8$ power factor lagging to the infinite bus. The power angle of the generator in degrees (round off to one decimal place) is _________

asked Feb 12, 2019 in new by Arjun (5.4k points)

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22

GATE2019 EE: 52
In a $132$ kV system, the series inductance up to the point of circuit breaker location is $50$ mH. The shunt capacitance at the circuit breaker terminal is $0.05 \: \mu F$. The critical value of resistance in ohms required to be connected across the circuit breaker contacts which will give no transient oscillation is ______

asked Feb 12, 2019 in new by Arjun (5.4k points)

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23

GATE2019 EE: 53
In a DC-DC boost converter, the duty ratio is controlled to regulate the output voltage at $48$ V. The input DC voltage is $24$ V. The output power is $120$ W. The switching frequency is $50$ kHz. Assume ideal components and a very ... converter operates at the boundary between continuous and discontinuous conduction modes. The value of the boost inductor (in $\mu H$) is ________

asked Feb 12, 2019 in new by Arjun (5.4k points)

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24

GATE2019 EE: 54
A fully-controlled three-phase bridge converter is working from a $415$ V, $50$ Hz AC supply. It is supplying constant current of $100$ A a $400$ V to a DC load. Assume large inductive smoothing and neglect overlap. The rms value of the AC line current in amperes (round off to two decimal places) is _______

asked Feb 12, 2019 in new by Arjun (5.4k points)

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25

GATE2019 EE: 55
A single-phase fully-controlled thyristor converter is used to obtain an average voltage of $180$ V with $10$ A constant current to feed a DC load. It is fed from single-phase AC supply of $230$ V, $50$ Hz. Neglect the source impedance. The power factor (round off to two decimal places) of AC mains is _________

asked Feb 12, 2019 in new by Arjun (5.4k points)

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26

Gate EE-2014
For a peridic square wave ,which one of the following statements is TRUE? 1). The fourieF series coefficients do not exist 2).The Fourier series coefficients exist but the reconstruction converges at most point. I know the correct answer is 2). But I need some explanation.

asked Jul 8, 2018 in Signals and Systems by Shaurya khare (130 points)

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27

GATE2012-63
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ notes that Raju has is $5$ $6$ $9$ $10$

asked Mar 24, 2018 in Numerical Ability by Andrijana3306 (1.4k points)

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28

GATE2012-64
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is $2$ $3$ $4$ $8$

asked Mar 24, 2018 in Numerical Ability by Andrijana3306 (1.4k points)

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29

GATE2012-65
The data given in the following table summarizes the monthly budget of an average household. ... $\textbf{NOT}$ spent on savings is $10\%$ $14\%$ $81\%$ $86\%$

asked Mar 24, 2018 in Numerical Ability by Andrijana3306 (1.4k points)

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30

GATE2012-57
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=?$ $2.23$ $4.33$ $11.37$ $27.64$

asked Mar 24, 2018 in Numerical Ability by Andrijana3306 (1.4k points)

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31

GATE2012-58
Choose the most appropriate alternative from the options given below to complete the following sentence: $\textbf{If the tired soldier wanted to lie down, he _______ the mattress out on the balcony.}$ should take shall take should have taken will have taken

asked Mar 24, 2018 in Verbal Ability by Andrijana3306 (1.4k points)

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32

GATE2012-59
Choose the most appropriate word from the options given below to complete the following sentence: $\textbf{Given the seriousness of the situation that he had to face, his _______was impressive.}$ beggary nomenclature jealousy nonchalance

asked Mar 24, 2018 in Verbal Ability by Andrijana3306 (1.4k points)

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33

GATE2012-60
Which one of the following options is the closest in meaning to the word given below? $\textbf{Latitude}$ Eligibility Freedom Coercion Meticulousness

asked Mar 24, 2018 in Verbal Ability by Andrijana3306 (1.4k points)

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34

GATE2012-61
$A$ and $B$ are friends. They decide to meet between 1:00 pm and 2:00 pm on a given day. There is a condition that whoever arrives first will not wait for the other for more than $15$ minutes. The probability that they will meet on that day is $1/4$ $1/16$ $7/16$ $9/16$

asked Mar 24, 2018 in Numerical Ability by Andrijana3306 (1.4k points)

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35

GATE2012-62
One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions were against them. Which one ... their seniors. The harsh discipline to which the legions were subjected to led to the odds and conditions being against them.

asked Mar 24, 2018 in Verbal Ability by Andrijana3306 (1.4k points)

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36

GATE2012-50
With $10$ V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed: $1 \: \Omega$ connected at port B draws a current of $3$ A $2.5 \: \Omega$ connected at port B draws a current of $2$ A For the same network, with $6$ V dc ... $8$ V dc is connected to port A, the open circuit voltage at port B is $6$ V $7$ V $8$ V $9$ V

asked Mar 24, 2018 in new by Andrijana3306 (1.4k points)

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37

GATE2012-51
With $10$ V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed: $1 \: \Omega$ connected at port B draws a current of $3$ A $2.5 \: \Omega$ connected at port B draws a current of $2$ A With $10$ V dc connected at port A, the current drawn by $7 \: \Omega$ connected at port B is $3/7$ A $5/7$ A $1$ A $9/7$ A

asked Mar 24, 2018 in new by Andrijana3306 (1.4k points)

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38

GATE2012-52
In the circuit shown, the three voltmeter readings are $V_1 =220$ V, $V_2=122$ V, $V_3=136$ V. The power factor of the load is $0.45$ $0.50$ $0.55$ $0.60$

asked Mar 24, 2018 in new by Andrijana3306 (1.4k points)

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39

GATE2012-53
In the circuit shown, the three voltmeter readings are $V_1 =220$ V, $V_2=122$ V, $V_3=136$ V. If $R_L=5 \: \Omega$, the approximate power consumption in the load is $700$ W $750$ W $800$ W $850$ W

asked Mar 24, 2018 in new by Andrijana3306 (1.4k points)

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40

GATE2012-54
The transfer function of a compensator is given as $G_c(s) = \frac{s+a}{s+b}$ $G_c(s)$ is a lead compensator if $a=1, \: b=2$ $a=3, \: b=2$ $a=-3, \: b=-1$ $a=3, \: b=1$

asked Mar 24, 2018 in new by Andrijana3306 (1.4k points)