Questions by admin / GO Electrical

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41

GATE Electrical 2023 | Question: 31
The three-bus power system shown in the figure has one alternator connected to bus $2$ which supplies $200 \mathrm{MW}$ and $40 \text{MVAr}$ power. Bus $3$ is infinite bus having a voltage of magnitude $\left|V_3\right|=1.0$ p.u. and angle of $-15^{\circ}$. A ... $3 \quad$ Slack bus Bus $1 \quad P-|V|$ bus Bus $2 \quad P-Q$ bus Bus $3 \quad$ Slack bus

The three-bus power system shown in the figure has one alternator connected to bus $2$ which supplies $200 \mathrm{MW}$ and $40 \text{MVAr}$ power. Bus $3$ is infinite bu...

asked May 20, 2023

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42

GATE Electrical 2023 | Question: 32
Consider the following equation in a $2-\text{D}$ real-space. $\left|x_{1}\right|^{p}+\left|x_{2}\right|^{p}=1 \text { for } p>0$ Which of the following statement(s) is/are true? When $p=2$, the area enclosed by the curve is $\pi$. When $p$ ... $p$ tends to $0,$ the area enclosed by the curve is $1.$ When $p=1$, the area enclosed by the curve is $2.$

Consider the following equation in a $2-\text{D}$ real-space. $\left|x_{1}\right|^{p}+\left|x_{2}\right|^{p}=1 \text { for } p>0$ Which of the following statement(s) is/a...

asked May 20, 2023

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43

GATE Electrical 2023 | Question: 33
In the figure, the electric field $\boldsymbol{E}$ and the magnetic field $\boldsymbol{B}$ point to $\mathrm{x}$ and $\mathrm{z}$ directions, respectively, and have constant magnitudes. A positive charge q' is released from rest at the origin ... plane only. The trajectory of the charge will be a circle. The charge will progress in the direction of $\mathbf{y}$.

In the figure, the electric field $\boldsymbol{E}$ and the magnetic field $\boldsymbol{B}$ point to $\mathrm{x}$ and $\mathrm{z}$ directions, respectively, and have cons...

asked May 20, 2023

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44

GATE Electrical 2023 | Question: 34
All the elements in the circuit shown in the following figure are ideal. Which of the following statements is/are true? When switch $\text{S}$ is $\mathrm{ON}$, both $D_{1}$ and $D_{2}$ conducts and $D_{3}$ is reverse biased When switch $\text{S}$ ... conduct When switch $\text{S}$ is $\mathrm{OFF}, D_{1}$ conducts, $D_{2}$ is reverse biased and $D_{3}$ conducts

All the elements in the circuit shown in the following figure are ideal. Which of the following statements is/are true? When switch $\text{S}$ is $\mathrm{ON}$, both $D_{...

asked May 20, 2023

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45

GATE Electrical 2023 | Question: 35
The expected number of trials for first occurrence of a "head" in a biased coin is known to be $4.$ The probability of first occurrence of a "head" in the second trial is ____________(Round off to $3$ decimal places).

The expected number of trials for first occurrence of a "head" in a biased coin is known to be $4.$ The probability of first occurrence of a "head" in the second trial is...

asked May 20, 2023

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46

GATE Electrical 2023 | Question: 36
Consider the state-space description of an $\text{LTI}$ ... for which the steady-state output of the system will be zero, is ________(Round off to the nearest integer).

Consider the state-space description of an $\text{LTI}$ system with matrices$\qquad A=\left[\begin{array}{cc}0 & 1 \\-1 & -2\end{array}\right], B=\left[\begin{array}{l}0 ...

asked May 20, 2023

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47

GATE Electrical 2023 | Question: 37
A three-phase synchronous motor with synchronous impedance of $0.1+\mathrm{j} 0.3 \text { per unit } $ per phase has a static stability limit of $2.5 \text { per unit.}$ The corresponding excitation voltage in per unit is _________ (Round off to $2$ decimal places).

A three-phase synchronous motor with synchronous impedance of $0.1+\mathrm{j} 0.3 \text { per unit } $ per phase has a static stability limit of $2.5 \text { per unit.}$ ...

asked May 20, 2023

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48

GATE Electrical 2023 | Question: 38
A three phase $415 \mathrm{~V}, 50 \mathrm{~Hz}, \text { 6-pole, } 960 \text { RPM, 4 HP}$ squirrel cage induction motor drives a constant torque load at rated speed operating from rated supply and delivering rated output. If the ... in $\text { RPM}$ (neglecting the stator leakage impedance and rotational losses) is ________ (Round off to the nearest integer).

A three phase $415 \mathrm{~V}, 50 \mathrm{~Hz}, \text { 6-pole, } 960 \text { RPM, 4 HP}$ squirrel cage induction motor drives a constant torque load at rated speed oper...

asked May 20, 2023

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49

GATE Electrical 2023 | Question: 39
The period of the discrete-time signal $ x[n]$ described by the equation below is $N=$________ (Round off to the nearest integer). $x[n]=1+3 \sin \left(\frac{15 \pi}{8} n+\frac{3 \pi}{4}\right)-5 \sin \left(\frac{\pi}{3} n-\frac{\pi}{4}\right)$

The period of the discrete-time signal $ x[n]$ described by the equation below is $N=$________ (Round off to the nearest integer).$$x[n]=1+3 \sin \left(\frac{15 \pi}{8} n...

asked May 20, 2023

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50

GATE Electrical 2023 | Question: 40
The discrete-time Fourier transform of a signal $ x[n]$ is $X (\Omega)=(1+\cos \Omega) e^{-j \Omega}$ Consider that $ x_{p}[n]$ is a periodic signal of period $ \mathrm{N}=5$ ... $a_{3}$ is_____________ (Round off to $3$ decimal places).

The discrete-time Fourier transform of a signal $ x[n]$ is $X (\Omega)=(1+\cos \Omega) e^{-j \Omega}$ Consider that $ x_{p}[n]$ is a periodic signal of period $ \mathrm{N...

asked May 20, 2023

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51

GATE Electrical 2023 | Question: 41
For the circuit shown, if $ i=\sin 1000 t,$ the instantaneous value of the Thevenin's equivalent voltage (in Volts) across the terminals $a-b$ at time $t=5 \mathrm{~ms}$ is__________(Round off to $2$ decimal places).

For the circuit shown, if $ i=\sin 1000 t,$ the instantaneous value of the Thevenin's equivalent voltage (in Volts) across the terminals $a-b$ at time $t=5 \mathrm{~ms}$...

asked May 20, 2023

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52

GATE Electrical 2023 | Question: 42
The admittance parameters of the passive resistive two-port network shown in the figure are $y_{11}=5 S, y_{22}=1 S, y_{12}=y_{21}=-2.5 S$ The power delivered to the load resistor $ R_{L}$ in Watt is _______(Round off to $2$ decimal places).

The admittance parameters of the passive resistive two-port network shown in the figure are$$y_{11}=5 S, y_{22}=1 S, y_{12}=y_{21}=-2.5 S$$The power delivered to the load...

asked May 20, 2023

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53

GATE Electrical 2023 | Question: 43
When the winding $\text{c-d}$ of the single-phase, $50 \mathrm{~Hz},$ two winding transformer is supplied from an $\mathrm{AC}$ current source of frequency $50 \mathrm{~Hz},$ ... linear and neglecting core loss, the self-inductance of the winding $a-b$ in millihenry is __________(Round off to $1$ decimal place).

When the winding $\text{c-d}$ of the single-phase, $50 \mathrm{~Hz},$ two winding transformer is supplied from an $\mathrm{AC}$ current source of frequency $50 \mathrm{~H...

asked May 20, 2023

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54

GATE Electrical 2023 | Question: 44
The circuit shown in the figure is initially in the steady state with the switch $K$ in open condition and $\bar{K}$ in closed condition. The switch $ K$ is closed and $\bar{K}$ is opened simultaneously at the instant $t=t_{1},$ where ... there is no transient in the voltage across the $ 100 \mu \mathrm{F}$ capacitor, is_________(Round off to $2$ decimal places).

The circuit shown in the figure is initially in the steady state with the switch $K$ in open condition and $\bar{K}$ in closed condition. The switch $ K$ is closed and $...

asked May 20, 2023

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55

GATE Electrical 2023 | Question: 45
The circuit shown in the figure has reached steady state with thyristor ' $\text{T}$ ' in $\mathrm{OFF}$ condition. Assume that the latching and holding currents of the thyristor are zero. The thyristor is turned $\mathrm{ON}$ ... in microseconds for which the thyristor would conduct, before it turns off, is ________(Round off to $2$ decimal places).

The circuit shown in the figure has reached steady state with thyristor ' $\text{T}$ ' in $\mathrm{OFF}$ condition. Assume that the latching and holding currents of the t...

asked May 20, 2023

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56

GATE Electrical 2023 | Question: 46
Neglecting the delays due to the logic gates in the circuit shown in figure, the decimal equivalent of the binary sequence $\text{[ABCD]}$ of initial logic states, which will not change with clock, is_______.

Neglecting the delays due to the logic gates in the circuit shown in figure, the decimal equivalent of the binary sequence $\text{[ABCD]}$ of initial logic states, which ...

asked May 20, 2023

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57

GATE Electrical 2023 | Question: 47
In a given $8$-bit general purpose micro-controller there are following flags. $\text{C-Carry, A-Auxiliary Carry, O-Overflow flag, P-Parity}$ ($0$ for even, $1$ for odd) $\text{R0}$ and $\text{R1}$ are the two general purpose registers of the micro-controller. After execution ...

In a given $8$-bit general purpose micro-controller there are following flags. $\text{C-Carry, A-Auxiliary Carry, O-Overflow flag, P-Parity}$ ($0$ for even, $1$ for odd) ...

asked May 20, 2023

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58

GATE Electrical 2023 | Question: 48
The single phase rectifier consisting of three thyristors $T_{1}, T_{2}, T_{3}$ and a diode $D_{1}$ feed power to a $10 \mathrm{~A}$ constant current load. $ T_{1}$ and $ T_{3} $ are fired at $ \alpha=60^{\circ} $ and $ T_{2}$ is ... zero crossing of $ V_{i n} .$ The average voltage $V_{O} $ across the load in volts is _________(Round off to $2$ decimal places).

The single phase rectifier consisting of three thyristors $T_{1}, T_{2}, T_{3}$ and a diode $D_{1}$ feed power to a $10 \mathrm{~A}$ constant current load. $ T_{1}$ and ...

asked May 20, 2023

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59

GATE Electrical 2023 | Question: 49
The Zener diode in circuit has a breakdown voltage of $ 5 \mathrm{~V} \text .$ The current gain $\beta$ of the transistor in the active region in $99.$ Ignore base-emitter voltage drop $ V_{B E} $. The current through the $20 \: \Omega$ resistance in milliamperes is_______(Round off to $2$ decimal places).

The Zener diode in circuit has a breakdown voltage of $ 5 \mathrm{~V} \text .$ The current gain $\beta$ of the transistor in the active region in $99.$ Ignore base-emitte...

asked May 20, 2023

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60

GATE Electrical 2023 | Question: 50
The two-bus power system shown in figure (i) has one alternator supplying a synchronous motor load through a $Y- \Delta$ transformer. The positive, negative and zero-sequence diagrams of the system are shown in figures (ii), (iii) and (iv), respectively. All ... phase ' $b$ ' to ' $c$ ') in p.u. is__________ (Round off to $2$ decimal places).

The two-bus power system shown in figure (i) has one alternator supplying a synchronous motor load through a $Y- \Delta$ transformer. The positive, negative and zero-sequ...

asked May 20, 2023

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61

GATE Electrical 2023 | Question: 51
An infinite surface of linear current density $\mathbf{K}=5 \hat{\mathbf{a}}_{\mathbf{x}} \mathbf{A} / \mathbf{m}$ exists on the $\text{x-y}$ plane, as shown in the figure. The magnitude of the magnetic field intensity $(\mathbf{H})$ at a point $(1,1,1)$ due to the surface current in Ampere/meter is _________ (Round off to $2$ decimal places).

An infinite surface of linear current density $\mathbf{K}=5 \hat{\mathbf{a}}_{\mathbf{x}} \mathbf{A} / \mathbf{m}$ exists on the $\text{x-y}$ plane, as shown in the fig...

asked May 20, 2023

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62

GATE Electrical 2023 | Question: 52
The closed curve shown in the figure is described by $r=1+\cos \theta,$ where $r=\sqrt{x^{2}+y^{2}} ; x=r \cos \theta, y=r \sin \theta$ The magnitude of the line integral of the vector field $ F=-y \hat{\imath}+x \hat{\jmath}$ around the closed curve is __________(Round off to $2$ decimal places).

The closed curve shown in the figure is described by $r=1+\cos \theta,$ where $r=\sqrt{x^{2}+y^{2}} ; x=r \cos \theta, y=r \sin \theta$ The magnitude of the line integra...

asked May 20, 2023

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63

GATE Electrical 2023 | Question: 53
A signal $ x(t)=2 \cos (180 \pi t) \cos (60 \pi t)$ is sampled at $ 200 \mathrm{~Hz} $ and then passed through an ideal low pass filter having cut-off frequency of $100 \mathrm{~Hz}.$ The maximum frequency present in the filtered signal in $ \mathrm{Hz}$ is ________ (Round off to the nearest integer).

A signal $ x(t)=2 \cos (180 \pi t) \cos (60 \pi t)$ is sampled at $ 200 \mathrm{~Hz} $ and then passed through an ideal low pass filter having cut-off frequency of $100 \...

asked May 20, 2023

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64

GATE Electrical 2023 | Question: 54
A balanced delta connected load consisting of the series connection of one resistor $(R=15 \; \Omega)$ and a capacitor $(C=212.21 \; \mu \mathrm{F})$ in each phase is connected to threephase, $50 \mathrm{~Hz}, 415 \mathrm{~V}$ supply ... to be negligible, the magnitude of the voltage across the terminals $V_{A B}$ in Volts is (Round off to the nearest integer).

A balanced delta connected load consisting of the series connection of one resistor $(R=15 \; \Omega)$ and a capacitor $(C=212.21 \; \mu \mathrm{F})$ in each phase is con...

asked May 20, 2023

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65

GATE Electrical 2023 | Question: 55
A quadratic function of two variables is given as $ f\left(x_{1}, x_{2}\right)=x_{1}^{2}+2 x_{2}^{2}+3 x_{1}+3 x_{2}+x_{1} x_{2}+1$ The magnitude of the maximum rate of change of the function at the point $(1,1)$ is__________(Round off to the nearest integer). }

A quadratic function of two variables is given as $$ f\left(x_{1}, x_{2}\right)=x_{1}^{2}+2 x_{2}^{2}+3 x_{1}+3 x_{2}+x_{1} x_{2}+1$$The magnitude of the maximum rate of...

asked May 20, 2023