Recent activity by makhdoom ghaya

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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)

edited in new Jul 7, 2022

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GATE Electrical 2022 | Question: 43
As shown in the figure below, two concentric conducting spherical shells, centered at $r = 0$ and having radii $r = c$ and $r = d$ are maintained at potentials such that the potential $\text{V(r)}$ at $r = c$ is $V_{1}$ and $\text{V(r)}$ at $r = d$ is $V_{2}$. Assume ...

edited in new Jul 7, 2022

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GATE Electrical 2022 | Question: 41
Let $R$ be a region in the first quadrant of the $xy$ plane enclosed by a closed curve $C$ considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region $R$? $\displaystyle\iint_{R} dxdy$ $\oint _{C}xdy$ $\oint _{C}ydx$ $\dfrac{1}{2}\oint _{C}\left ( xdy -ydx \right )$

edited in new Jul 7, 2022

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GATE Electrical 2022 | Question: 38
Consider the system as shown below Where $y(t)=x(e^t).$ The system is linear and casual linear and non-casual non-linear and casual non-linear and non-casual

edited in new Jul 6, 2022

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GATE Electrical 2022 | Question: 27
An $\text{LTI}$ system is shown in the figure where $G \left ( s \right ) = \dfrac{100}{s^{2}+0.1s+100}$ The steady state output of the system, to the input $r(t)$, is given as $y \left ( t \right ) = a +b\:\sin\left ( 10t + \theta \right )$ The values of $’a’$ and $’b’$ will be $a = 1, b=10$ $a = 10, b=1$ $a = 1, b=100$ $a = 100, b=1$

edited in new Jul 6, 2022

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GATE Electrical 2022 | Question: 26
The output impedance of a non-ideal operational amplifier is denoted by $Z_{out}$. The variation in the magnitude of $Z_{out}$ with increasing frequency, $f$, in the circuit shown below, is best represented by A. B. C. D.

edited in new Jul 6, 2022

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GATE Electrical 2022 | Question: 7
The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is $-180^{\circ}$. This system has one $\text{LHP}$ pole and one $\text{RHP}$ ... . two $\text{LHP}$ poles and one $\text{RHP}$ zero. two $\text{RHP}$ poles and one $\text{LHP}$ zero.

edited in new Jul 6, 2022

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GATE Electrical 2022 | Question: 4
The geometric mean radius of a conductor, having four equal strands with each strand of radius $’r’$, as shown in the figure below, is $4\:r$ $1.414\:r$ $2\:r$ $1.723\:r$

edited in new Jul 6, 2022

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GATE Electrical 2022 | GA Question: 10
An ant is at the bottom-left corner of a grid (point $\text{P}$) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right ... decreases. Which one of the following is a part of a possible trajectory of the ant during the movement? A. B. C. D.

edited in Spatial Aptitude Jul 6, 2022

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GATE Electrical 2015 Set 2 | Question: 55
For the system governed by the set of equations: $dx_{1}/dt=2x_{1}+x_{2}+u$ $dx_{2}/dt=-2x_{1}+u$ $y=3 x_{1}$ the transfer function $Y(s)/U(s)$ is given by $3(s+1)/(s^{2}-2s+2)$ $3(2s+1)/(s^{2}-2s+1)$ $(s+1)/(s^{2}-2s+1)$ $3(2s+1)/(s^{2}-2s+2)$

recategorized in new Mar 1, 2017

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GATE Electrical 2015 Set 2 | Question: 44
In the given network $V_{1}=100\angle 0^{\circ}V, V_{2}=100\angle -120^{\circ}V, V_{3}=100\angle +120^{\circ}V$. The phasor current $i$ (in Ampere) is $173.2\angle -60^{\circ}$ $173.2\angle 120^{\circ}$ $100.0\angle -60^{\circ}$ $100.0\angle 120^{\circ}$

recategorized in new Mar 1, 2017

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GATE Electrical 2015 Set 2 | Question: 42
A 3-phase transformer rated for $33 kV/11 kV$ is connected in delta/star as shown in figure. The current transformers ($CTs$) on low and high voltage sides have a ratio of $500/5$. Find the currents $i_{1}$ and $i_{2}$, if the fault current is $300$ ... $i_{1}=0A, i_{2}=1\sqrt{3}A$ $i_{1}=1\sqrt{3}A, i_{2}=1\sqrt{3}A$

recategorized in new Feb 28, 2017

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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 ________.

asked in Electric Circuits Feb 12, 2017

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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

asked in Analog and Digital Electronics Feb 12, 2017

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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

asked in Power Systems Feb 12, 2017

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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 __________.

asked in Analog and Digital Electronics Feb 12, 2017

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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 $I_0$, $1$, $1$, $I_1$, $I_3$, $1$, $1$, $I_2$ ... $1$, $I_1$, $I_2$, $1$, $I_3$,$1$ $I_0$, $I_1$, $I_2$, $I_3$, $I_0$, $I_1$, $I_2$, $I_3$

asked in Analog and Digital Electronics Feb 12, 2017

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

asked in Analog and Digital Electronics Feb 12, 2017

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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 ________.

asked in Power Systems Feb 12, 2017

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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 $20 \: mH$

asked in Electrical Machines Feb 12, 2017

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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 ___________.

asked in Electrical Machines Feb 12, 2017

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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

asked in Analog and Digital Electronics Feb 12, 2017

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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 _________.

asked in Analog and Digital Electronics Feb 12, 2017

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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 $\sqrt{\dfrac{3}{2}} \\$ $\sqrt{\dfrac{2}{3}} \\$ $\dfrac{3}{2} \\$ $\dfrac{2}{3}$

asked in Electric Circuits Feb 12, 2017

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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 $1.73$ $dB$

asked in Control Systems Feb 12, 2017

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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 $0$ $1/2$ $2/3$ $1$

asked in Control Systems Feb 12, 2017

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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 _________.

asked in Power Systems Feb 12, 2017

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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 $1$ $s$ $1/s$ $\dfrac{-s}{s^3+s^2-s-2}$

asked in Control Systems Feb 12, 2017

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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 _______.

asked in Power Systems Feb 12, 2017

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

asked in Electric Circuits Feb 12, 2017

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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 _______.

asked in Numerical Methods Feb 12, 2017

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

asked in Electric Circuits Feb 12, 2017

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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 _____

asked in Electrical Machines Feb 12, 2017

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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 ________.

asked in Electrical Machines Feb 12, 2017

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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 $250$ $W$

asked in Electrical Machines Feb 12, 2017

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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.

asked in Signals and Systems Feb 12, 2017

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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 $10$ $Hz$ $60$ $Hz$ $30$ $Hz$ $90$ $Hz$

asked in Signals and Systems Feb 12, 2017

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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; $-\infty < w< \infty$

asked in Signals and Systems Feb 12, 2017

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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 $w_2=2 \text{ krad/s}$ ... $R=50\Omega$ ; $L=50 mH$ ,$C=5 \mu F$ $R=50\Omega$ ; $L=5 mH$ ,$C=50 \mu F$

asked in Signals and Systems Feb 12, 2017

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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 $\hat{i}$,$\hat{j}$ ... $2\sqrt{2}\hat{k}$ $-2\hat{k}$ $2\hat{k}$ $-2\sqrt{2}\hat{k}$

asked in Electromagnetic Fields Feb 12, 2017