Recent questions tagged gate2014-ee-1

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1

GATE Electrical 2014 Set 1 | Question: 46
A system matrix is given as follows. $A=\begin{bmatrix} 0 & 1 & -1\\ -6 & -11 &6 \\ -6& -11& 5 \end{bmatrix}$ The absolute value of the ratio of the maximum eigenvalue to the minimum eigenvalue is _______

makhdoom ghaya asked in Linear Algebra Feb 12, 2017

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2

GATE Electrical 2014 Set 1 | Question: 51
In the figure shown, assume the op-amp to be ideal. Which of the alternatives gives the correct Bode plots for the transfer function $\dfrac{V_o(\omega )}{V_i(\omega )}?$

makhdoom ghaya asked in Control Systems Feb 12, 2017

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3

GATE Electrical 2014 Set 1 | Question: 50
Which of the following logic circuits is a realization of the function $F$ whose Karnaugh map is shown in figure:

makhdoom ghaya asked in Electrical and Electronic Measurements Feb 12, 2017

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4

GATE Electrical 2014 Set 1 | Question: 55
The figure shows one period of the output voltage of an inverter.$\alpha$ should be chosen such that $60^{\circ}<\alpha <90^{\circ}$. If $rms$ value of the fundamental component is $50V$, then $\alpha$ in degree is__________

makhdoom ghaya asked in Signals and Systems Feb 12, 2017

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GATE Electrical 2014 Set 1 | Question: 54
Figure $(i)$ shows the circuit diagram of a chopper. The switch $S$ in the circuit in figure $(i)$ is switched such that the voltage $v_D$ across the diode has the wave shape as shown in figure $(ii)$. The capacitance $C$ is large so that ... switch $S$ and the diode are ideal, the peak to peak ripple $(\text{in}\: A)$ in the inductor current is _________.

makhdoom ghaya asked in Electrical and Electronic Measurements Feb 12, 2017

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6

GATE Electrical 2014 Set 1 | Question: 53
The figure shows the circuit diagram of a rectifier. The load consists of a resistance $10Ω$ and an inductance $0.05H$ connected in series. Assuming ideal thyristor and ideal diode, the thyristor firing angle (in degree) needed to obtain an average load voltage of $70V$ is ______

makhdoom ghaya asked in Electrical and Electronic Measurements Feb 12, 2017

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7

GATE Electrical 2014 Set 1 | Question: 48
The $dc$ current flowing in a circuit is measured by two ammeters, one $PMMC$ and another electrodynamometer type, connected in series. The $PMMC$ meter contains $100$ ... of both the meters are equal. The value of current, at which the deflections of the two meters are same, is ________

makhdoom ghaya asked in Electromagnetic Fields Feb 12, 2017

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8

GATE Electrical 2014 Set 1 | Question: 47
The reading of the voltmeter $(rms)$ in volts, for the circuit shown in the figure is __________

makhdoom ghaya asked in Electric Circuits Feb 12, 2017

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9

GATE Electrical 2014 Set 1 | Question: 45
The Bode magnitude plot of the transfer function $G(s)=\dfrac{K(1+0.5s)(1+as)}{s(1+\frac{s}{8})(1+bs)(1+\frac{s}{36})}$ is shown below: Note that $-6dB/octave = -20 dB/decade.$ The value of $\dfrac{a}{bK}$ is ________.

makhdoom ghaya asked in Power Systems Feb 12, 2017

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10

GATE Electrical 2014 Set 1 | Question: 44
For the given system, it is desired that the system be stable. The minimum value of $\alpha$ for this condition is ____________. .

makhdoom ghaya asked in Control Systems Feb 12, 2017

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11

GATE Electrical 2014 Set 1 | Question: 49
Given that the op-amps in the figure are ideal, the output voltage $V_0$ is $(V_1-V_2)$ $2(V_1-V_2)$ $(V_1-V_2)/2$ $(V_1+V_2)$

makhdoom ghaya asked in Analog and Digital Electronics Feb 12, 2017

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12

GATE Electrical 2014 Set 1 | Question: 52
An output device is interfaced with $8$-bit microprocessor $8085A$. The interfacing circuit is shown in figure The interfacing circuit makes use of $3$ Line to $8$ Line decoder having $3$ enable lines $E_1,\overline{E_2},\overline{E_3}$ . The address of the device is $50_H$ $5000_H$ $A0_H$ $A000_H$

makhdoom ghaya asked in Analog and Digital Electronics Feb 12, 2017

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13

GATE Electrical 2014 Set 1 | Question: 37
A $15\: kW, 230\: V\:dc$ shunt motor has armature circuit resistance of $0.4\: Ω$ and field circuit resistance of $230\: Ω.$ At no load and rated voltage, the motor runs at $1400$ ... , the motor draws a line current of $70\: A.$ Neglect armature reaction. The full load speed of the motor in rpm is _________.

makhdoom ghaya asked in Electrical Machines Feb 12, 2017

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14

GATE Electrical 2014 Set 1 | Question: 33
The function shown in the figure can be represented as $u(t)-u(t-T)+\dfrac{(t-T)}{T}u(t-T)-\frac{(t-2T)}{T}u(t-2T) \\$ $u(t)+\dfrac{t}{T}u(t-T)-\dfrac{t}{T}u(t-2T) \\$ $u(t)-u(t-T)+\dfrac{(t-T)}{T}u(t)-\dfrac{(t-2T)}{T}u(t) \\$ $u(t)+\dfrac{(t-T)}{T}u(t-T)-2\dfrac{(t-2T)}{T}u(t-2T)$

makhdoom ghaya asked in Signals and Systems Feb 12, 2017

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15

GATE Electrical 2014 Set 1 | Question: 43
The overcurrent relays for the line protection and loads connected at the buses are shown in the figure. The relays are $IDMT$ ... relay $R_B$ to be $0.1$ and $5A$ respectively, the operating time of $R_B$ (in seconds) is ______________

makhdoom ghaya asked in Power Systems Feb 12, 2017

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16

GATE Electrical 2014 Set 1 | Question: 32
The following four vector fields are given in Cartesian co-ordinate system. The vector field which does not satisfy the property of magnetic flux density is $y^2a_x+z^2a_y+x^2a_z$ $y^2a_x+x^2a_y+z^2a_z$ $x^2a_x+y^2a_y+z^2a_z$ $y^2z^2a_x+x^2z^2a_y+x^2y^2a_z$

makhdoom ghaya asked in Electromagnetic Fields Feb 12, 2017

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17

GATE Electrical 2014 Set 1 | Question: 34
Let $X(z)=\dfrac{1}{1-z^{-3}}$ be the $Z$ – transform of a causal signal $x[n]$ Then, the values of $x[2]$ and $x[3]$ are $0$ and $0$ $0$ and $1$ $1$ and $0$ $1$ and $1$

makhdoom ghaya asked in Signals and Systems Feb 12, 2017

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18

GATE Electrical 2014 Set 1 | Question: 36
The core loss of a single phase, $230/115\:V, 50\:Hz$ power transformer is measured from $230\:V$ side by feeding the primary $(230\: V \: \text{side})$ from a variable voltage variable frequency source while keeping the secondary open circuited. The core loss is measured to ... and $542\:W$ $468\:W$ and $582\:W$ $498\:W$ and $552\:W$ $488\:W$ and $562\:W$

makhdoom ghaya asked in Electrical Machines Feb 12, 2017

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19

GATE Electrical 2014 Set 1 | Question: 38
A $3$ phase, $50$ $Hz$, six pole induction motor has a rotor resistance of $0.1\: Ω$ and reactance of $0.92\: Ω$. Neglect the voltage drop in stator and assume that the rotor resistance is constant. Given that the full load slip is $3\%$, the ratio of maximum torque to full load torque is $1.567$ $1.712$ $1.948$ $2.134$

makhdoom ghaya asked in Electrical Machines Feb 12, 2017

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20

GATE Electrical 2014 Set 1 | Question: 40
A distribution feeder of $1\:km$ length having resistance, but negligible reactance, is fed from both the ends by $400V$, $50\:Hz$ balanced sources. Both voltage sources $S_1$ and $S_2$ are in phase. The feeder supplies concentrated loads of unity power factor as shown in the figure. ... $25\:A$ $50\:A$ and $50\:A$ $25\:A$ and $75\:A$ $0\:A$ and $100\:A$

makhdoom ghaya asked in Power Systems Feb 12, 2017

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21

GATE Electrical 2014 Set 1 | Question: 41
A two bus power system shown in the figure supplies load of $1.0+j0.5\: \text{p.u}.$ The values of $V_1$ in $\text{p.u.}$ and $\delta_2$ respectively are $0.95$ and $6.00^{\circ}$ $1.05$ and $-5.44^{\circ}$ $1.1$ and $-6.00^{\circ}$ $1.1$ and $-27.12^{\circ}$

makhdoom ghaya asked in Power Systems Feb 12, 2017

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22

GATE Electrical 2014 Set 1 | Question: 42
The fuel cost functions of two power plants are Plant $P_1 : C_1=0.05Pg_1^2+APg_1+B$ Plant $P_2 : C_2=0.10Pg_2^2+3APg_2+2B$ where, $P_{g1}$ and $P_{g2}$ are the generated powers of two plants, and $A$ and $B$ are the constants. If the two plants optimally ... $100$ $Rs/MWh$, the ratio of load shared by plants $P_1$ and $P_2$ is $1:4$ $2:3$ $3:2$ $4:1$

makhdoom ghaya asked in Power Systems Feb 12, 2017

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23

GATE Electrical 2014 Set 1 | Question: 35
Let $f(t)$ be continuous time signal and let $F(w)$be its Fourier Transform defined by $F(\omega )=\displaystyle{}\int_{-\infty }^{\infty }f(t)e^{-j\omega t} dt$ define $g(t)$ ... $f(t)$ only if $f(t)$ is a sinusoidal function. $g(t)$ would never be proportional to $f(t)$.

makhdoom ghaya asked in Signals and Systems Feb 12, 2017

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24

GATE Electrical 2014 Set 1 | Question: 39
A three phase synchronous generator is to be connected to the infinite bus. The lamps are connected as shown in the figure for the synchronization. The phase sequence of bus voltage is $R-Y-B$ and that of incoming generator voltage ... infinite bus and its frequency is more than infinite bus same as infinite bus and its frequency is less than infinite bus

makhdoom ghaya asked in Power Systems Feb 12, 2017

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25

GATE Electrical 2014 Set 1 | Question: 28
The line integral of function $F = yzi$, in the counterclockwise direction, along the circle $x^2+y^2 = 1$ at $z = 1$ is $-2\pi$ $-\pi$ $\pi$ $2\pi$

makhdoom ghaya asked in Calculus Feb 12, 2017

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26

GATE Electrical 2014 Set 1 | Question: 27
A fair coin is tossed $n$ times. The probability that the difference between the number of heads and tails is $(n-3)$ is $2^{-n}$ $0$ $^{n}C_{n-3}2^{-n}$ $2^{-n+3}$

makhdoom ghaya asked in Probability & Statistics Feb 12, 2017

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27

GATE Electrical 2014 Set 1 | Question: 21
A cascade of three identical modulo - $5$ counters has an overall modulus of $5$ $25$ $125$ $625$

makhdoom ghaya asked in Analog and Digital Electronics Feb 12, 2017

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28

GATE Electrical 2014 Set 1 | Question: 26
Let $g:[0,\infty )\rightarrow [0,\infty )$ be a function defined by $g(x)=x-[x]$, where $[x]$ represents the integer part of $x.($That is, it is the largest integer which is less than or equal to $x).$ The value of the constant term in the Fourier series expansion of $g(x)$ is _______

makhdoom ghaya asked in Signals and Systems Feb 12, 2017

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29

GATE Electrical 2014 Set 1 | Question: 22
In the Wien Bridge oscillator circuit shown in figure, the bridge is balanced when $\dfrac{R_3}{R_4}=\dfrac{R_1}{R_2}\, \: \: \omega =\dfrac{1}{\sqrt{R_1C_1R_2C_2}} \\$ ... $\dfrac{R_3}{R_4}+\dfrac{R_1}{R_2}=\dfrac{C_2}{C_1}, \: \: \omega =\dfrac{1}{R_1C_1R_2C_2}$

makhdoom ghaya asked in Electrical and Electronic Measurements Feb 12, 2017

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30

GATE Electrical 2014 Set 1 | Question: 30
In the figure, the value of resistor $R$ is $(25 + I/2)\: \text{ohms},$ where $I$ is the current in amperes. The current $I$ is ________

makhdoom ghaya asked in Electric Circuits Feb 12, 2017

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31

GATE Electrical 2014 Set 1 | Question: 29
An incandescent lamp is marked $40\:W, 240\: V$. If resistance at room temperature $(26^{\circ}C)$ is $120\:\Omega$, and temperature coefficient of resistance is $4.5\times 10^{-3} / ^{\circ}C$, then its $ON$ state filament temperature in $^{\circ}C$ is approximately _______

makhdoom ghaya asked in Electric Circuits Feb 12, 2017

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32

GATE Electrical 2014 Set 1 | Question: 24
The figure shows the circuit of a rectifier fed from a $230-V(\text{rms}), 50-Hz$ sinusoidal voltage source. If we want to replace the current source with a resistor so that the rms value of the current supplied by the voltage source remains unchanged, the value of the resistance $(\text{in ohms})$ is __________(Assume diodes to be ideal.)

makhdoom ghaya asked in Analog and Digital Electronics Feb 12, 2017

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33

GATE Electrical 2014 Set 1 | Question: 23
The magnitude of the mid-band voltage gain of the circuit shown in figure is $($assuming $h_{fe}$ of the transistor to be $100)$ $1$ $10$ $20$ $100$

makhdoom ghaya asked in Electrical and Electronic Measurements Feb 12, 2017

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34

GATE Electrical 2014 Set 1 | Question: 31
In an unbalanced three phase system, phase current $I_a=1\angle (-90^{\circ})\: \text{pu}$ , negative sequence current $I_{b2}=4\angle (-150^{\circ})\: \text{pu}$, zero sequence current $I_{c0}=3\angle 90^{\circ}\: \text{pu}.$ The magnitude of phase current $I_b$ in $\text{pu}$ is $1.00$ $7.81$ $11.53$ $13.00$

makhdoom ghaya asked in Power Systems Feb 12, 2017

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35

GATE Electrical 2014 Set 1 | Question: 25
Figure shows four electronic switches $(i), (ii), (iii)$ and $(iv)$. Which of the switches can block voltages of either polarity $($applied between terminals $a$ and $b)$ when the active device is in the $OFF$ state? $(i), (ii)$ and $(iii)$ $(ii), (iii)$ and $(iv)$ $(ii)$ and $(iii)$ $(i)$ and $(iv)$

makhdoom ghaya asked in Electrical and Electronic Measurements Feb 12, 2017

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36

GATE Electrical 2014 Set 1 | Question: 20
In an oscilloscope screen, linear sweep is applied at the vertical axis horizontal axis origin both horizontal and vertical axis

makhdoom ghaya asked in Electric Circuits Feb 12, 2017

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37

GATE Electrical 2014 Set 1 | Question: 17
In the formation of Routh-Hurwitz array for a polynomial, all the elements of a row have zero values. This premature termination of the array indicates the presence of only one root at the origin Imaginary roots only positive real roots only negative real roots

makhdoom ghaya asked in Calculus Feb 12, 2017

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38

GATE Electrical 2014 Set 1 | Question: 18
The root locus of a unity feedback system is shown in the figure The closed loop transfer function of the system is $\dfrac{C(s)}{R(s)}=\dfrac{K}{(s+1)(s+2)} \\$ $\dfrac{C(s)}{R(s)}=\dfrac{-K}{(s+1)(s+2)+K} \\$ $\dfrac{C(s)}{R(s)}=\dfrac{K}{(s+1)(s+2)-K} \\$ $\dfrac{C(s)}{R(s)}=\dfrac{K}{(s+1)(s+2)+K}$

makhdoom ghaya asked in Control Systems Feb 12, 2017

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39

GATE Electrical 2014 Set 1 | Question: 16
A $2$-bus system and corresponding zero sequence network are shown in the figure. The transformers $T_1$and $T_2$ are connected as

makhdoom ghaya asked in Power Systems Feb 12, 2017

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40

GATE Electrical 2014 Set 1 | Question: 13
A star connected $400\:V, 50\:Hz, 4$ pole synchronous machine gave the following open circuit and short circuit test results: Open circuit test: $V_{oc} = 400\: V (\text{rms}, \text{line-to-line})$ at field current, $I_f = 2.3 A$ ... $I_f = 1.5 A$ The value of per phase synchronous impedance in $Ω$ at rated voltage is __________.

makhdoom ghaya asked in Electrical Machines Feb 12, 2017

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