Questions by Arjun / GO Electrical

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41

GATE Electrical 2024 | Question: 41
In the $(x, y, z)$ coordinate system, three point-charges $\text{Q, Q}$, and $\alpha \text{Q}$ are located in free space at $(-1,0,0),(1,0,0)$, and $(0,-1,0)$, respectively. The value of $\alpha$ for the electric field to be zero at $(0,0.5,0)$ is ____________ (rounded off to $1$ decimal place).

In the $(x, y, z)$ coordinate system, three point-charges $\text{Q, Q}$, and $\alpha \text{Q}$ are located in free space at $(-1,0,0),(1,0,0)$, and $(0,-1,0)$, respective...

asked Feb 16

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42

GATE Electrical 2024 | Question: 42
The given equation represents a magnetic field strength $\bar{H}(r, \theta, \phi)$ in the spherical coordinate system, in free space. Here, $\hat{r}$ and $\hat{\theta}$ represent the unit vectors along $r$ and $\theta$, respectively. The value of $\text{P}$ in the ... bar{H}(r, \theta, \phi)=\frac{1}{r^{3}}(\hat{r} P \cos \theta+\hat{\theta} \sin \theta) \]

The given equation represents a magnetic field strength $\bar{H}(r, \theta, \phi)$ in the spherical coordinate system, in free space. Here, $\hat{r}$ and $\hat{\theta}$ r...

asked Feb 16

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43

GATE Electrical 2024 | Question: 43
If the energy of a continuous-time signal $x(t)$ is $\text{E}$ and the energy of the signal $2 x(2 t-1)$ is $c E$, then $c$ is ___________ (rounded off to $1$ decimal place).

If the energy of a continuous-time signal $x(t)$ is $\text{E}$ and the energy of the signal $2 x(2 t-1)$ is $c E$, then $c$ is ___________ (rounded off to $1$ decimal pla...

asked Feb 16

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44

GATE Electrical 2024 | Question: 44
A $3$-phase star connected slip ring induction motor has the following parameters referred to the stator: \[ R_{s}=3 \Omega, X_{s}=2 \Omega, X_{r}^{\prime}=2 \Omega, R_{r}^{\prime}=2.5 \Omega \] The per phase stator to rotor ... to the rotor side) to be connected in series with each phase of the rotor winding is ____________ (rounded off to $2$ decimal places).

A $3$-phase star connected slip ring induction motor has the following parameters referred to the stator:\[R_{s}=3 \Omega, X_{s}=2 \Omega, X_{r}^{\prime}=2 \Omega, R_{r}^...

asked Feb 16

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45

GATE Electrical 2024 | Question: 45
A $5 \mathrm{~kW}, 220 \mathrm{~V}$ $\text{DC}$ shunt motor has $0.5 \Omega$ armature resistance including brushes. The motor draws a no-load current of $3 \mathrm{~A}$. The field current is constant at $1 \mathrm{~A}$ ... ) drawn by the motor while delivering the rated load, for the best possible efficiency, is _____________ (rounded off to $2$ decimal places).

A $5 \mathrm{~kW}, 220 \mathrm{~V}$ $\text{DC}$ shunt motor has $0.5 \Omega$ armature resistance including brushes. The motor draws a no-load current of $3 \mathrm{~A}$. ...

asked Feb 16

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46

GATE Electrical 2024 | Question: 46
The single line diagram of a lossless system is shown in the figure. The system is operating in steady-state at a stable equilibrium point with the power output of the generator being $P_{\max } \sin \delta$, where $\delta$ is the load angle ... , the accelerating area on the power angle curve is __________ times $P_{\max }$ (rounded off to $2$ decimal places).

The single line diagram of a lossless system is shown in the figure. The system is operating in steady-state at a stable equilibrium point with the power output of the ge...

asked Feb 16

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47

GATE Electrical 2024 | Question: 47
Consider the closed-loop system shown in the figure with \[ G(s)=\frac{K\left(s^{2}-2 s+2\right)}{\left(s^{2}+2 s+5\right)} . \] The root locus for the closed-loop system is to be drawn for $0 \leq K<\infty$. The angle of ... $(-1+j 2)$, in degrees, is ___________(rounded off to the nearest integer).

Consider the closed-loop system shown in the figure with\[G(s)=\frac{K\left(s^{2}-2 s+2\right)}{\left(s^{2}+2 s+5\right)} .\]The root locus for the closed-loop system is ...

asked Feb 16

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48

GATE Electrical 2024 | Question: 48
Consider the stable closed-loop system shown in the figure. The asymptotic Bode magnitude plot of $G(s)$ has a constant slope of $-20 \mathrm{~dB} /$ decade at least till $100 \mathrm{rad} / \mathrm{sec}$ with the gain crossover frequency ... . The steadystate error of the closed-loop system for a unit ramp input is (rounded off to 2 decimal places).

Consider the stable closed-loop system shown in the figure. The asymptotic Bode magnitude plot of $G(s)$ has a constant slope of $-20 \mathrm{~dB} /$ decade at least till...

asked Feb 16

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49

GATE Electrical 2024 | Question: 49
Consider the stable closed-loop system shown in the figure. The magnitude and phase values of the frequency response of $\text{G(s)}$ are given in the table. The value of the gain $K_{I}(>0)$ for a $50^{\circ}$ phase margin is __________ (rounded off to $2$ ... -80 \\ \hline 2.0 & -18 & -130 \\ \hline 10.0 & -40 & -200 \\ \hline \end{array}

Consider the stable closed-loop system shown in the figure. The magnitude and phase values of the frequency response of $\text{G(s)}$ are given in the table. The value of...

asked Feb 16

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50

GATE Electrical 2024 | Question: 50
In the given circuit, the diodes are ideal. The current $\text{I}$ through the diode $\text{D} 1$ in milliamperes is __________(rounded off to two decimal places).

In the given circuit, the diodes are ideal. The current $\text{I}$ through the diode $\text{D} 1$ in milliamperes is __________(rounded off to two decimal places).

asked Feb 16

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51

GATE Electrical 2024 | Question: 51
A difference amplifier is shown in the figure. Assume the op-amp to be ideal. The $\text{CMRR}$ (in $\mathrm{dB}$ ) of the difference amplifier is ___________ (rounded off to $2$ decimal places).

A difference amplifier is shown in the figure. Assume the op-amp to be ideal. The $\text{CMRR}$ (in $\mathrm{dB}$ ) of the difference amplifier is ___________ (rounded of...

asked Feb 16

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52

GATE Electrical 2024 | Question: 52
A single-phase half-controlled bridge converter supplies an inductive load with ripple free load current. The triggering angle of the converter is $60^{\circ}$. The ratio of the rms value of the fundamental component of the input current to the rms value of the total input current of the bridge is _____________ (rounded off to $3$ decimal places).

A single-phase half-controlled bridge converter supplies an inductive load with ripple free load current. The triggering angle of the converter is $60^{\circ}$. The ratio...

asked Feb 16

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53

GATE Electrical 2024 | Question: 53
A single-phase full bridge voltage source inverter $\text{(VSI)}$ feeds a purely inductive load. The inverter output voltage is a square wave in $180^{\circ}$ ... is $20 \mathrm{mH}$, the peak-topeak load current in amperes is _____________ (rounded off to the nearest integer).

A single-phase full bridge voltage source inverter $\text{(VSI)}$ feeds a purely inductive load. The inverter output voltage is a square wave in $180^{\circ}$ conduction ...

asked Feb 16

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54

GATE Electrical 2024 | Question: 54
In the $\mathrm{DC}-\mathrm{DC}$ converter shown in the figure, the current through the inductor is continuous. The switching frequency is $500 \mathrm{~Hz}$. The voltage $\left(V_{o}\right)$ across the load is assumed to be constant and ripple free. The peak inductor current in amperes is ______________ (rounded off to the nearest integer).

In the $\mathrm{DC}-\mathrm{DC}$ converter shown in the figure, the current through the inductor is continuous. The switching frequency is $500 \mathrm{~Hz}$. The voltage...

asked Feb 16

1 votes

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55

GATE Electrical 2024 | Question: 55
A single-phase full-controlled thyristor converter bridge is used for regenerative braking of a separately excited $\text{DC}$ motor with the following specifications: Rated armature voltage $210 \mathrm{~V}$ ... the triggering angle of the converter bridge in degrees should be ____________ (rounded off to $2$ decimal places).

A single-phase full-controlled thyristor converter bridge is used for regenerative braking of a separately excited $\text{DC}$ motor with the following specifications:Rat...

asked Feb 16

1 votes

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56

GATE 2024 Electrical | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [talk $\rightarrow$ shout $\rightarrow$ scream] is analogous to [please $\rightarrow$ __________ $\rightarrow$ pander]. Which one of the given options is appropriate to fill the blank? flatter flutter fritter frizzle

If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [talk $\rightarrow$ shout $\rightarrow$ scream] is analogous to [...

asked Feb 16

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57

GATE 2024 Electrical | GA Question: 2
$\text{P}$ and $\text{Q}$ have been allotted a hostel room with two beds, a study table, and an almirah. $\mathrm{P}$ is an avid bird-watcher and wants to sit at the table and watch birds outside the window. $\text{Q}$ does not mind that as long as his bed is close to the ceiling fan. Which one of the following arrangements suits them the most?

$\text{P}$ and $\text{Q}$ have been allotted a hostel room with two beds, a study table, and an almirah. $\mathrm{P}$ is an avid bird-watcher and wants to ...

asked Feb 16

1 votes

0 answers

58

GATE 2024 Electrical | GA Question: 3
The decimal number system uses the characters $0,1,2, \ldots, 8,9$, and the octal number system uses the characters $0,1,2, \ldots, 6,7$. For example, the decimal number $12\left(=1 \times 10^{1}+2 \times 10^{0}\right)$ is expressed ... $108$ in the octal number system is $168$ $108$ $150$ $154$

The decimal number system uses the characters $0,1,2, \ldots, 8,9$, and the octal number system uses the characters $0,1,2, \ldots, 6,7$.For example, the deci...

asked Feb 16

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59

GATE 2024 Electrical | Question: 4
A shopkeeper buys shirts from a producer and sells them at $20 \%$ profit. A customer has to pay ₹ $3,186.00$ including $18 \%$ taxes, per shirt. At what price did the shopkeeper buy each shirt from the producer? ₹ $2,500.00$ ₹ $1,975.40$ ₹ $2,250.00$ ₹ $2,548.80$

A shopkeeper buys shirts from a producer and sells them at $20 \%$ profit. A customer has to pay ₹ $3,186.00$ including $18 \%$ taxes, per shirt. At what pr...

asked Feb 16

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60

GATE 2024 Electrical | GA Question: 5
If, for non-zero real variables $x, y$, and real parameter $a>1$, \[ x: y=(a+1):(a-1) \text {, } \] then, the ratio $\left(x^{2}-y^{2}\right):\left(x^{2}+y^{2}\right)$ is $2 a:\left(a^{2}+1\right)$ $a:\left(a^{2}+1\right)$ $2 a:\left(a^{2}-1\right)$ $a:\left(a^{2}-1\right)$

If, for non-zero real variables $x, y$, and real parameter $a>1$,\[x: y=(a+1):(a-1) \text {, }\]then, the ratio $\left(x^{2}-y^{2}\right):\left(x^{2}+y^{2}\right)$ ...

asked Feb 16

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61

GATE 2024 Electrical | GA Question: 6
In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks. Following a row $\text{(i)}$ the shopkeeper $\text{(ii)}$_the price of a frying pan, the cook stood $\text{(iii)}$ a row to withdraw cash $\text{(iv)}$ ... $\text{(iv)}$ at $\text{(i)}$ over $\text{(ii)}$ with $\text{(iii)}$ over $\text{(iv)}$ at

In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks.Following a row $\text{(i)}$ the shopkeeper $\text{...

asked Feb 16

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62

GATE 2024 Electrical | GA Question: 7
In the following figure, \[ \begin{array}{c} \mathrm{CD}=5 \mathrm{~cm}, \mathrm{BE}=10 \mathrm{~cm}, \mathrm{AE}=12 \mathrm{~cm}, \\ \angle \mathrm{DAB}=\angle \mathrm{DCB} \text {, and } \angle \mathrm{DAE}=\angle \mathrm{DBC}=90^{\circ} \end ... } \] Points $\text{AFCD}$ create a rhombus. The length of $\mathrm{BF}$ (in $\mathrm{cm}$ ) is $3$ $2$ $4$ $6$

In the following figure,\[\begin{array}{c}\mathrm{CD}=5 \mathrm{~cm}, \mathrm{BE}=10 \mathrm{~cm}, \mathrm{AE}=12 \mathrm{~cm}, \\\angle \mathrm{DAB}=\angle \...

asked Feb 16

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63

GATE 2024 Electrical | GA Question: 8
The chart below shows the data of the number of cars bought by Millennials and Gen $\text{X}$ people in a country from the year $2010$ to $2020$ as well as the yearly fuel consumption of the country (in Million liters). Considering the data ... buyers from $2015$ to $2020$ is more than the increase in the number of Millennial car buyers from $2010$ to $2015$.

The chart below shows the data of the number of cars bought by Millennials and Gen $\text{X}$ people in a country from the year $2010$ to $2020$ as well as the yearly ...

asked Feb 16

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64

GATE 2024 Electrical | GA Question: 9
The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinions can only rotate clockwise or anti-clockwise staying at its own center. Racks ... . Object $\mathrm{R}$ rotates in the anticlockwise direction. Object $\mathrm{Q}$ rotates in the clockwise direction.

The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinion...

asked Feb 16

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65

GATE 2024 Electrical | GA Question: 10
A surveyor has to measure the horizontal distance from her position to a distant reference point $\text{C}$. Using her position as the center, a $200 \mathrm{~m}$ horizontal line segment is drawn with the two endpoints $\text{A}$ ... $\mathrm{m}$ ) of the reference point $\mathrm{C}$ from her position is nearest to $2603$ $2606$ $2306$ $2063$

A surveyor has to measure the horizontal distance from her position to a distant reference point $\text{C}$. Using her position as the center, a $200 \mathrm{...

asked Feb 16

1 votes

1 answer

66

GATE Electrical 2022 | GA Question: 1
As you grow older, an injury to your ______________ may take longer to ____________. heel / heel heal / heel heal / heal heel / heal

As you grow older, an injury to your ______________ may take longer to ____________.heel / heelheal / heelheal / healheel / heal

asked Feb 15, 2022

1 votes

1 answer

67

GATE Electrical 2022 | GA Question: 2
In a $500\;m$ race, $P$ and $Q$ have speeds in the ratio of $3 : 4$. $Q$ starts the race when $P$ has already covered $140\; m$. What is the distance between $P$ and $Q$ (in $m$) when $P$ wins the race? $20$ $40$ $60$ $140$

In a $500\;m$ race, $P$ and $Q$ have speeds in the ratio of $3 : 4$. $Q$ starts the race when $P$ has already covered $140\; m$.What is the distance between $P$ and $Q$ (...

asked Feb 15, 2022

2 votes

1 answer

68

GATE Electrical 2022 | GA Question: 3
Three bells $P$, $Q$ and $R$ are rung periodically in a school. $P$ is rung every $20$ minutes; $Q$ is rung every $30$ minutes and $R$ is rung every $50$ minutes. If all the three bells are rung at $12 : 00$ $\text{PM}$, when will the three bells ring together again ... time? $5 : 00$ $\text{PM}$ $5 : 30$ $\text{PM}$ $6 : 00$ $\text{PM}$ $6 : 30$ $\text{PM}$

Three bells $P$, $Q$ and $R$ are rung periodically in a school. $P$ is rung every $20$ minutes; $Q$ is rung every $30$ minutes and $R$ is rung every $50$ minutes.If all t...

asked Feb 15, 2022

2 votes

1 answer

69

GATE Electrical 2022 | GA Question: 4
Given below are two statements and four conclusions drawn based on the statements. Statement $1$: Some bottles are cups. Statement $2$: All cups are knives. Conclusion $\text{I}$ : Some bottles are knives. Conclusion $\text{II}$ : Some knives are ... $\text{IV}$ are correct Only conclusion $\text{III}$ and conclusion $\text{IV}$ are correct

Given below are two statements and four conclusions drawn based on the statements.Statement $1$: Some bottles are cups.Statement $2$: All cups are knives. Conclusion $\te...

asked Feb 15, 2022

6 votes

1 answer

70

GATE Electrical 2022 | GA Question: 5
The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes $1 -1$, $2 -2$ or $3 -3$ chosen uniformly at random. What is the probability that the ... $0$ $\frac{1}{3}$ $\frac{2}{3}$ $1$

The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes $1 -...

asked Feb 15, 2022

1 votes

1 answer

71

GATE Electrical 2022 | GA Question: 6
Altruism is the human concern for the wellbeing of others. Altruism has been shown to be motivated more by social bonding, familiarity and identification of belongingness to a group. The notion that altruism may be attributed to ... engage in altruism due to group identification but not empathy Humans engage in altruism due to empathy but not familiarity

Altruism is the human concern for the wellbeing of others. Altruism has been shown to be motivated more by social bonding, familiarity and identification of belongingness...

asked Feb 15, 2022

1 votes

1 answer

72

GATE Electrical 2022 | GA Question: 7
There are two identical dice with a single letter on each of the faces. The following six letters: $\text{Q, R, S, T, U}$ and $\text{V}$, one on each of the faces. Any of the six outcomes are equally likely. The two dice are thrown once independently at random. What is the ... $\text{V}$? $\frac{1}{4}$ $\frac{3}{4}$ $\frac{1}{6}$ $\frac{5}{36}$

There are two identical dice with a single letter on each of the faces. The following six letters: $\text{Q, R, S, T, U}$ and $\text{V}$, one on each of the faces. Any of...

asked Feb 15, 2022

1 votes

1 answer

73

GATE Electrical 2022 | GA Question: 8
The price of an item is $10\%$ cheaper in an online store $\text{S}$ compared to the price at another online store $\text{M}$. Store $\text{S}$ charges $\text{₹ }150$ ... $\text{₹}$) if there are no other charges than what is described above? $2500$ $2250$ $1750$ $1500$

The price of an item is $10\%$ cheaper in an online store $\text{S}$ compared to the price at another online store $\text{M}$. Store $\text{S}$ charges $\text{₹ }150$ ...

asked Feb 15, 2022

3 votes

1 answer

74

GATE Electrical 2022 | GA Question: 9
The letters $\text{P, Q, R, S, T}$ and $\text{U}$ are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order. Consider the following statements: The line segment joining $\text{R}$ and $\text{S}$ is ... line segment joining $\text{Q}$ and $\text{S}$ is perpendicular to the line segment joining $\text{R}$ and $\text{P}$

The letters $\text{P, Q, R, S, T}$ and $\text{U}$ are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.Consider the followin...

asked Feb 15, 2022

1 votes

1 answer

75

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.

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 m...

asked Feb 15, 2022

0 votes

0 answers

76

GATE Electrical 2022 | Question: 1
The transfer function of a real system, $H(s)$, is given as: $H\left ( s \right ) = \dfrac{As + B}{S^{2} + Cs + D}$ where $\text{A, B, C}$ and $D$ are positive constants. This system cannot operate as low pass filter. high pass filter. band pass filter. an integrator.

The transfer function of a real system, $H(s)$, is given as:$H\left ( s \right ) = \dfrac{As + B}{S^{2} + Cs + D}$where $\text{A, B, C}$ and $D$ are positive constants. T...

asked Feb 15, 2022

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0 answers

77

GATE Electrical 2022 | Question: 2
For an ideal $\text{MOSFET}$ biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is $0$ $1$ $100$ infinite

For an ideal $\text{MOSFET}$ biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is$0$$1$$100$infinite

asked Feb 15, 2022

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0 answers

78

GATE Electrical 2022 | Question: 3
The most commonly used relay, for the protection of an alternator against loss of excitation, is offset Mho relay. over current relay. differential relay. Buchholz relay.

The most commonly used relay, for the protection of an alternator against loss of excitation, isoffset Mho relay.over current relay.differential relay.Buchholz relay.

asked Feb 15, 2022

1 votes

0 answers

79

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 $4\:r$ $1.414\:r$ $2\:r$ $1.723\:r$

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...

asked Feb 15, 2022

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0 answers

80

GATE Electrical 2022 | Question: 5
The valid positive, negative and zero sequence impedances (in p.u), respectively, for a $220$ $\text{kV}$, fully transposed three-phase transmission line, from the given choices are $1.1, \: 0.15$ and $0.08$ $0.15, \: 0.15$ and $0.35$ $0.2, \: 0.2$ and $0.2$ $0.1, \: 0.3$ and $0.1$

The valid positive, negative and zero sequence impedances (in p.u), respectively, for a $220$ $\text{kV}$, fully transposed three-phase transmission line, from the given ...

asked Feb 15, 2022