Recent questions tagged gate2014-ee-3

0 votes

0 answers

1

GATE Electrical 2014 Set 3 | Question: 54
A diode circuit feeds an ideal inductor as shown in the figure. Given $v_s=100 \sin(w_t) \: V$ where $\omega = 100\pi \text{ rad/s}$, and $L=31.83 \: mH$. The initial value of inductor current is zero. Switch $S$ is closed at $t=2.5 \: ms$. The peak value of inductor current $i_L$ (in $A$) in the first cycle is ________.

makhdoom ghaya asked in Electric Circuits Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

2

GATE Electrical 2014 Set 3 | Question: 55
A single-phase voltage source inverter shown in figure is feeding power to a load. The triggering pulses of the devices are also shown in the figure. If the load current is sinusoidal and is zero at $0,\pi , 2\pi$ …, the node voltage $V_{AO}$ has the waveform

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

by makhdoom ghaya

9.3k points

0 votes

0 answers

3

GATE Electrical 2014 Set 3 | Question: 53
A three-phase fully controlled bridge converter is fed through star-delta transformer as shown in the figure. The converter is operated at a firing angle of $300$. Assuming the load current $(I_0)$ to be virtually constant at $1 \: p.u$. and transformer to be an ideal one, the input phase current waveform is

makhdoom ghaya asked in Power Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

4

GATE Electrical 2014 Set 3 | Question: 50
The transfer characteristic of the Op-amp circuit shown in figure is

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

by makhdoom ghaya

9.3k points

0 votes

0 answers

5

GATE Electrical 2014 Set 3 | Question: 52
A hysteresis type $TTL$ inverter is used to realize an oscillator in the circuit shown in the figure. If the lower and upper trigger level voltages are $0.9$ $V$ and $1.7$ $V$, the period (in $ms$), for which output is $LOW$, is __________.

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

by makhdoom ghaya

9.3k points

0 votes

0 answers

6

GATE Electrical 2014 Set 3 | Question: 51
A $3$-$bit$ gray counter is used to control the output of the multiplexer as shown in the figure. The initial state of the counter is $0002$. The output is pulled $high$. The output of the circuit follows the sequence $I_0$, $1$, $1$, $I_1$, $I_3$, $1$, $1$, $I_2$ ... $1$, $I_1$, $I_2$, $1$, $I_3$,$1$ $I_0$, $I_1$, $I_2$, $I_3$, $I_0$, $I_1$, $I_2$, $I_3$

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

by makhdoom ghaya

9.3k points

0 votes

0 answers

7

GATE Electrical 2014 Set 3 | Question: 49
Two monoshot multivibrators, one positive edge triggered $(M_1)$ and another negative edge triggered $(M_2)$, are connected as shown in figure The monoshots $M_1$ and $M_2$ when triggered produce pulses of width $T_1$ and $T_2$ respectively, where $T_1>T_2$. The steady state output voltage $v_0$ of the circuit is

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

by makhdoom ghaya

9.3k points

0 votes

0 answers

8

GATE Electrical 2014 Set 3 | Question: 47
A periodic waveform observed across a load is represented by $V(t)=\begin{cases} 1+\sin\omega t & 0\leq \omega t< 6\pi \\ -1+ \sin\omega t & 6\pi \leq \omega t< 12\pi \end{cases}$ The measured value, using moving iron voltmeter connected across the load, is $\sqrt{\dfrac{3}{2}} \\$ $\sqrt{\dfrac{2}{3}} \\$ $\dfrac{3}{2} \\$ $\dfrac{2}{3}$

makhdoom ghaya asked in Electric Circuits Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

9

GATE Electrical 2014 Set 3 | Question: 44
The block diagram of a system is shown in the figure If the desired transfer function of the system is $\dfrac{C(s)}{R(s)}=\dfrac{s}{s^2+s+1}$ then $G(s)$ is $1$ $s$ $1/s$ $\dfrac{-s}{s^3+s^2-s-2}$

makhdoom ghaya asked in Control Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

10

GATE Electrical 2014 Set 3 | Question: 43
The figure shows the single line diagram of a single machine infinite bus system. The inertia constant of the synchronous generator $H = 5 \: MW-s/MVA$. Frequency is $50 \: Hz$. Mechanical power is $1 \: pu$. The system is operating at the stable ... $3.762 \text{ radian/s}$ respectively, then $P_{\text{max}}$ (in $pu$) is _______.

makhdoom ghaya asked in Power Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

11

GATE Electrical 2014 Set 3 | Question: 42
The complex power consumed by a constant-voltage load is given by $(P_1+jQ_1)$, where, $1 \: kW \leq P_1 \leq 1.5 \text{ kW}$ and $0.5 \: \text{kVAR} \leq Q_1 \leq 1 \text{ kVAR}$. A compensating shunt ... is the net reactive power consumed by the capacitor-load combination. The reactive power (in $\text{kVAR}$) supplied by the capacitor is _________.

makhdoom ghaya asked in Power Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

12

GATE Electrical 2014 Set 3 | Question: 40
The parameters measured for a $220V/110V$, $50 \: Hz$, single-phase transformer are: Self inductance of primary winding $= 45 \: mH$ Self inductance of secondary winding $= 30 \: mH$ Mutual inductance between primary and secondary windings $= 20 \: mH$ Using the above parameters, ... $10 \: mH$ and $20 \: mH$ $45 \: mH$, $30 \: mH$ and $20 \: mH$

makhdoom ghaya asked in Electrical Machines Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

13

GATE Electrical 2014 Set 3 | Question: 48
In the bridge circuit shown, the capacitors are loss free. At balance, the value of capacitance $C_1$ in microfarad is _________.

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

by makhdoom ghaya

9.3k points

0 votes

0 answers

14

GATE Electrical 2014 Set 3 | Question: 41
For a $400$ $km$ long transmission line, the series impedance is ($0.0$ + $j0.5$) $Ω/km$ and the shunt admittance is ($0.0$ + $j5.0$) $μmho$/$km$. The magnitude of the series impedance (in $\Omega$) of the equivalent $\pi$ circuit of the transmission line is ________.

makhdoom ghaya asked in Power Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

15

GATE Electrical 2014 Set 3 | Question: 39
The load shown in the figure absorbs $4$ $kW$ at a power factor of $0.89$ lagging. Assuming the transformer to be ideal, the value of the reactance $X$ to improve the input power factor to unity is ___________.

makhdoom ghaya asked in Electrical Machines Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

16

GATE Electrical 2014 Set 3 | Question: 46
The magnitude Bode plot of a network is shown in the figure The maximum phase angle $\phi _m$ and the corresponding gain $G_m$ respectively, are $-30^{\circ}$ and $1.73$ $dB$ $-30^{\circ}$ and $477$ $dB$ $+30^{\circ}$ and $4.77$ $dB$ $+30^{\circ}$ and $1.73$ $dB$

makhdoom ghaya asked in Control Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

17

GATE Electrical 2014 Set 3 | Question: 45
Consider the system described by following state space equations $\begin{vmatrix} \dot{x_1}\\ \dot{x_2} \end{vmatrix}=\begin{vmatrix} 0 &1 \\ -1 & -1 \end{vmatrix}\begin{vmatrix} x_1\\x_2 \end{vmatrix}+\begin{vmatrix} 0\\1 \end{vmatrix}u$ ... $u$ is unit step input, then the steady state error of the system is $0$ $1/2$ $2/3$ $1$

makhdoom ghaya asked in Control Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

18

GATE Electrical 2014 Set 3 | Question: 28
The function $f(x)=e^x-1$ is to be solved using Newton-Raphson method. If the initial value of $x_0$ is taken as $1.0$, then the absolute error observed at $2^{nd}$ iteration is _______.

makhdoom ghaya asked in Numerical Methods Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

19

GATE Electrical 2014 Set 3 | Question: 31
A perfectly conducting metal plate is placed in $x-y$ plane in a right handed coordinate system. A charge of $+32\pi \epsilon _0\sqrt{2}$ columbs is placed at coordinate $(0, 0, 2)$. $\epsilon _0$ is the permittivity of free space. Assume $\hat{i}$,$\hat{j}$ ... $2\sqrt{2}\hat{k}$ $-2\hat{k}$ $2\hat{k}$ $-2\sqrt{2}\hat{k}$

makhdoom ghaya asked in Electromagnetic Fields Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

20

GATE Electrical 2014 Set 3 | Question: 35
A differentiable non constant even function $x(t)$ has a derivative $y(t)$, and their respective Fourier Transforms are $X(\omega)$ and $Y(\omega)$. Which of the following statements is TRUE? $X(\omega)$ and $Y(\omega)$ ... imaginary. $X(\omega)$ and $Y(\omega)$ are both imaginary. $X(\omega)$ is imaginary and $Y(\omega)$ is real.

makhdoom ghaya asked in Signals and Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

21

GATE Electrical 2014 Set 3 | Question: 32
A series $RLC$ circuit is observed at two frequencies. At $ω_1=1 \text{ krad/s}$, we note that source voltage $V_1=100\angle 0^{\circ} \: V$ results in a current $I_1=0.03\angle 31^{\circ}$ $A$. At $w_2=2 \text{ krad/s}$ ... $R=50\Omega$ ; $L=50 mH$ ,$C=5 \mu F$ $R=50\Omega$ ; $L=5 mH$ ,$C=50 \mu F$

makhdoom ghaya asked in Signals and Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

22

GATE Electrical 2014 Set 3 | Question: 27
The mean thickness and variance of silicon steel laminations are $0.2 mm$ and $0.02$ respectively. The varnish insulation is applied on both the sides of the laminations. The mean thickness of one side insulation and its variance are$0.1 \: mm$ and $0.01$ respectively. If the ... $0.22$ $30 \: mm$ and $2.44$ $40 \: mm$ and $2.44$ $40\: mm$ and $0.24$

makhdoom ghaya asked in Electrical Machines Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

23

GATE Electrical 2014 Set 3 | Question: 33
A continuous-time $LTI$ system with system function $H(w)$ has the following pole-zero plot. For this system, which of the alternatives is $TRUE$? $\mid H(0)\mid > \mid H(w)\mid ;\mid w\mid > 0$ $\mid H(w) \mid$ has multiple maxima, at $w_1$ ... $\mid H(w)\mid =$ constant; $-\infty < w< \infty$

makhdoom ghaya asked in Signals and Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

24

GATE Electrical 2014 Set 3 | Question: 29
The Norton’s equivalent source in amperes as seen into the terminals $X$ and $Y$ is _______.

makhdoom ghaya asked in Electric Circuits Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

25

GATE Electrical 2014 Set 3 | Question: 38
A separately excited $300$ $V$ $DC$ shunt motor under no load runs at $900$ $rpm$ drawing an armature current of $2$ $A$. The armature resistance is $0.5$ $Ω$ and leakage inductance is $0.01$ $H$. When loaded, the armature current is $15$ $A$. Then the speed in $rpm$ is _____

makhdoom ghaya asked in Electrical Machines Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

26

GATE Electrical 2014 Set 3 | Question: 37
A non-salient pole synchronous generator having synchronous reactance of $0.8$ $pu$ is supplying $1$ $pu$ power to a unity power factor load at a terminal voltage of $1.1$ $pu$. Neglecting the armature resistance, the angle of the voltage behind the synchronous reactance with respect to the angle of the terminal voltage in degrees is ________.

makhdoom ghaya asked in Electrical Machines Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

1 answer

27

GATE Electrical 2014 Set 3 | Question: 30
The power delivered by the current source, in the figure, is ________.

makhdoom ghaya asked in Electric Circuits Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

28

GATE Electrical 2014 Set 3 | Question: 34
A sinusoid $x(t)$ of unknown frequency is sampled by an impulse train of period $20$ $ms$. The resulting sample train is next applied to an ideal lowpass filter with a cutoff at $25$ $Hz$. The filter output is seen to be a sinusoid of frequency $20$ $Hz$. This means that $x(t)$ has a frequency of $10$ $Hz$ $60$ $Hz$ $30$ $Hz$ $90$ $Hz$

makhdoom ghaya asked in Signals and Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

29

GATE Electrical 2014 Set 3 | Question: 36
An open circuit test is performed on $50$ $Hz$ transformer, using variable frequency source and keeping $V/f$ ratio constant, to separate its eddy current and hysteresis losses. The variation of core loss/frequency as function of frequency is shown in the figure The hysteresis and eddy ... $62.5$ $W$ $312.5$ $W$ and $62.5$ $W$ $312.5$ $W$ and $250$ $W$

makhdoom ghaya asked in Electrical Machines Feb 12, 2017

by makhdoom ghaya

9.3k points

2 votes

1 answer

30

GATE Electrical 2014 Set 3 | Question: 21
A state diagram of a logic gate which exhibits a delay in the output is shown in the figure, where $X$ is the don’t care condition, and $Q$ is the output representing the state. The logic gate represented by the state diagram is $XOR$ $OR$ $AND$ $NAND$

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

by makhdoom ghaya

9.3k points

0 votes

0 answers

31

GATE Electrical 2014 Set 3 | Question: 26
Integration of the complex function $f(z)=\dfrac{z^2}{z^2-1}$ , in the counterclockwise direction, around $\mid z-1 \mid = 1$, is $-\pi i$ $0$ $\pi i$ $2 \pi i$

makhdoom ghaya asked in Complex Variables Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

32

GATE Electrical 2014 Set 3 | Question: 19
An $LPF$ wattmeter of power factor $0.2$ is having three voltage settings $300 V$, $150 V$ and $75 V$, and two current settings $5 A$ and $10 A$. The full scale reading is $150$. If the wattmeter is used with $150 V$ voltage setting and $10 A$ current setting, the multiplying factor of the wattmeter is _________.

makhdoom ghaya asked in Power Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

33

GATE Electrical 2014 Set 3 | Question: 22
An operational-amplifier circuit is shown in the figure. The output of the circuit for a given input $v_i$ is $- \bigg (\dfrac{R_2}{R_1} \bigg)v_i \\$ $- \bigg (1+\dfrac{R_2}{R_1} \bigg )v_i \\$ $\bigg (1+\dfrac{R_2}{R_1} \bigg)v_i \\$ +$V_{\text{sat}} \text{ or } -V_{ \text{sat}}$

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

by makhdoom ghaya

9.3k points

0 votes

0 answers

34

GATE Electrical 2014 Set 3 | Question: 17
The signal flow graph of a system is shown below. $U(s)$ is the input and $C(s)$ is the output. Assuming, $h_1=b_1$ and $h_0=b_0-b_1a_1$ , the input-output transfer function, $G(s)=\dfrac{C(s)}{U(s)}$ ... $G(s)=\dfrac{b_1s+b_0}{s^2+a_1s+a_0} \\$ $G(s)=\dfrac{a_0s+a1}{s^2+b_0s+b_1}$

makhdoom ghaya asked in Control Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

35

GATE Electrical 2014 Set 3 | Question: 20
The two signals $S1$ and $S2$, shown in figure, are applied to $Y$ and $X$ deflection plates of an oscilloscope. The waveform displayed on the screen is

makhdoom ghaya asked in Signals and Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

36

GATE Electrical 2014 Set 3 | Question: 16
A $183$-bus power system has $150$ $PQ$ buses and $32$ $PV$ buses. In the general case, to obtain the load flow solution using Newton-Raphson method in polar coordinates, the minimum number of simultaneous equations to be solved is ___________.

makhdoom ghaya asked in Power Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

37

GATE Electrical 2014 Set 3 | Question: 24
A non-ideal voltage source $V_s$ has an internal impedance of $Z_s$. If a purely resistive load is to be chosen that maximizes the power transferred to the load, its value must be $0$ real part of $Z_s$ magnitude of $Z_s$ magnitude of $Z_s$

makhdoom ghaya asked in Power Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

38

GATE Electrical 2014 Set 3 | Question: 18
A single-input single-output feedback system has forward transfer function $G(s)$ and feedback transfer function $H(s)$. It is given that $|G(s)H(s)|< 1$ . Which of the following is true about the stability of the system? The ... are in left half of the s-plane It is not possible to say whether or not the system is stable from the information given

makhdoom ghaya asked in Control Systems Feb 12, 2017

by makhdoom ghaya

9.3k points

0 votes

0 answers

39

GATE Electrical 2014 Set 3 | Question: 23
In $8085A$ microprocessor, the operation performed by the instruction $LHLD$ $2100_H$ is $(H)\leftarrow 21_H$ , $(L)\leftarrow 00_H$ $(H)\leftarrow M(2100_H)$ , $(L)\leftarrow M(2101_H)$ $(H)\leftarrow M(2101_H)$ , $(L)\leftarrow M(2100_H)$ $(L)\leftarrow 00_H$ , $(H)\leftarrow 21_H$

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

by makhdoom ghaya

9.3k points

0 votes

0 answers

40

GATE Electrical 2014 Set 3 | Question: 25
The torque-speed characteristics of motor $(TM)$ and load $(TL)$ for two cases are shown in the figures $(a)$ and $(b)$. The load torque is equal to motor torque at points $P$, $Q$, $R$ and $S$ The stable operating points are $P$ and $R$ $P$ and $S$ $Q$ and $R$ $Q$ and $S$

makhdoom ghaya asked in Electrical Machines Feb 12, 2017

by makhdoom ghaya

9.3k points