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201

GATE Electrical 2023 | Question: 5
The following columns present various modes of induction machine operation and the ranges of slip ... $a-r, b-q$, and $c-p$ $a-p, b-r$, and $c-q$ $a-q, b-p$, and $c-r$

The following columns present various modes of induction machine operation and the ranges of slip$$\begin{array}{ll} \qquad \qquad\textbf{A} & \qquad \textbf{B} \\ \quad...

admin

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admin asked May 20, 2023

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202

GATE Electrical 2020 | Question: 24
Consider a negative unity feedback system with forward path transfer function $G\left ( s \right )=\dfrac{K}{\left ( s+a \right )\left ( s-b \right )\left ( s+c \right )}$, where $\text{K, a, b, c}$ are positive real numbers. For a Nyquist path ... $\text{s}$-plane is__________.

Consider a negative unity feedback system with forward path transfer function $G\left ( s \right )=\dfrac{K}{\left ( s+a \right )\left ( s-b \right )\left ( s+c \right )}...

go_editor

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go_editor asked Feb 28, 2020

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203

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

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)...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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204

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.

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 circ...

Arjun

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Arjun asked Feb 15, 2022

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205

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...

admin

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admin asked May 20, 2023

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206

GATE Electrical 2022 | Question: 16
A $\text{MOD 2}$ and a $\text{MOD 5}$ up-counter when cascade together results in a $\text{MOD}$ _________________ counter. (in integer)

A $\text{MOD 2}$ and a $\text{MOD 5}$ up-counter when cascade together results in a $\text{MOD}$ _________________ counter. (in integer)

Arjun

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Arjun asked Feb 15, 2022

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207

GATE Electrical 2023 | Question: 21
For the signals $x(t)$ and $y(t)$ shown in the figure, $z(t)=x(t) * y(t)$ is maximum at $t=T_1$. Then $T_1$ in seconds is_________ (Round off to the nearest integer).

For the signals $x(t)$ and $y(t)$ shown in the figure, $z(t)=x(t) * y(t)$ is maximum at $t=T_1$. Then $T_1$ in seconds is_________ (Round off to the nearest integer).

admin

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admin asked May 20, 2023

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208

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 ___________.

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,...

makhdoom ghaya

9.4k points

makhdoom ghaya asked Feb 11, 2017

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209

GATE Electrical 2014 Set 3 | GA Question: 4
Which number does not belong in the series below? $2$, $5$, $10$, $17$, $26$, $37$, $50$, $64$ $17$ $37$ $64$ $26$

Which number does not belong in the series below?$2$, $5$, $10$, $17$, $26$, $37$, $50$, $64$$17$$37$$64$$26$

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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210

GATE Electrical 2022 | Question: 25
The frequencies of the stator and rotor currents flowing in a three-phase $8$-pole induction motor are $40\:Hz$ and $1\:Hz$, respectively. The motor speed, in $\text{rpm}$, is ________________. (round off to nearest integer)

The frequencies of the stator and rotor currents flowing in a three-phase $8$-pole induction motor are $40\:Hz$ and $1\:Hz$, respectively. The motor speed, in $\text{rpm}...

Arjun

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Arjun asked Feb 15, 2022

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211

GATE Electrical 2023 | Question: 22
For the circuit shown in the figure, $V_{1}=8 \mathrm{~V}, \mathrm{DC}$ and $I_{1}=8 \mathrm{~A}, \mathrm{DC}$. The voltage $V_{a b}$ in Volts is____________(Round off to $1$ decimal place).

For the circuit shown in the figure, $V_{1}=8 \mathrm{~V}, \mathrm{DC}$ and $I_{1}=8 \mathrm{~A}, \mathrm{DC}$. The voltage $V_{a b}$ in Volts is____________(Round off to...

admin

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admin asked May 20, 2023

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212

GATE Electrical 2022 | Question: 18
The network shown below has a resonant frequency of $150$ $\text{kHz}$ and a bandwidth of $600$ $\text{Hz}$. The $Q$ –factor of the network is ______________. (round off to nearest integer)

The network shown below has a resonant frequency of $150$ $\text{kHz}$ and a bandwidth of $600$ $\text{Hz}$. The $Q$ –factor of the network is ______________. (round of...

Arjun

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Arjun asked Feb 15, 2022

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213

GATE Electrical 2018 | Question: 14
In the logic circuit shown in the figure, $Y$ is given by $Y=ABCD$ $Y=(A+B)(C+D)$ $Y=A+B+C+D$ $Y=AB+CD$

In the logic circuit shown in the figure, $Y$ is given by$Y=ABCD$$Y=(A+B)(C+D)$$Y=A+B+C+D$$Y=AB+CD$

Arjun

15.9k points

Arjun asked Feb 19, 2018

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214

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}^...

Arjun

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Arjun asked Feb 16

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215

GATE Electrical 2015 Set 1 | Question: 37
The figure shows a digital circuit constructed using negative edge triggered $J-K$ flip flops. Assume a starting state of $Q_{2}Q_{1}Q_{0}=000$. This state $Q_{2}Q_{1}Q_{0}=000$ will repeat after _______ number of cycles of the clock $CLK$.

The figure shows a digital circuit constructed using negative edge triggered $J-K$ flip flops. Assume a starting state of $Q_{2}Q_{1}Q_{0}=000$. This state $Q_{2}Q_{1}Q_{...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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216

GATE Electrical 2020 | Question: 10
Consider a linear time-invariant system whose input $\text{r(t)}$ and output $\text{y(t)}$ are related by the following differential equation: $\frac{d^{2}y\left ( t \right )}{dt^{2}}+4y\left ( t \right )=6r\left ( t \right )$ The poles of this system are at $+2j,-2j$ $+2,-2$ $+4,-4$ $+4j,-4j$

Consider a linear time-invariant system whose input $\text{r(t)}$ and output $\text{y(t)}$ are related by the following differential equation:$$\frac{d^{2}y\left ( t \rig...

go_editor

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go_editor asked Feb 28, 2020

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217

GATE Electrical 2014 Set 3 | Question: 4
Lifetime of an electric bulb is a random variable with density $f(x)=kx^2$ , where $x$ is measured in years. If the minimum and maximum lifetimes of bulb are $1$ and $2$ years respectively, then the value of $k$ is ________.

Lifetime of an electric bulb is a random variable with density $f(x)=kx^2$ , where $x$ is measured in years. If the minimum and maximum lifetimes of bulb are $1$ and $2$ ...

makhdoom ghaya

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makhdoom ghaya asked Feb 11, 2017

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218

GATE Electrical 2023 | Question: 26
The magnitude and phase plots of an $\text{LTI}$ system are shown in the figure. The transfer function of the system is $2.51 e^{-0.032 s}$ $\frac{e^{-2.514 s}}{s+1}$ $1.04 e^{-2.514 s}$ $2.51 e^{-1.047 s}$

The magnitude and phase plots of an $\text{LTI}$ system are shown in the figure. The transfer function of the system is $2.51 e^{-0.032 s}$$\frac{e^{-2.514 s}}{s+1}$$1.04...

admin

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admin asked May 20, 2023

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219

GATE Electrical 2022 | Question: 21
In the circuit shown below, the switch $S$ is closed at $t = 0$. The magnitude of the steady state voltage, in volts, across the $6 \Omega$ resistor is ________________. (round off to two decimal places)

In the circuit shown below, the switch $S$ is closed at $t = 0$. The magnitude of the steady state voltage, in volts, across the $6 \Omega$ resistor is ________________. ...

Arjun

15.9k points

Arjun asked Feb 15, 2022

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220

GATE Electrical 2019 | Question: 5
The mean-square of a zero-mean random process is $\frac{kT}{c},$ where $k$ is Boltzmann’s constant, $T$ is the absolute temperature, and $C$ is a capacitance. The standard deviation of the random process is $\frac{kT}{c} \\ $ $\sqrt{\frac{kT}{c}} \\ $ $\frac{c}{kT} \\ $ $\frac{\sqrt{kT}}{c}$

The mean-square of a zero-mean random process is $\frac{kT}{c},$ where $k$ is Boltzmann’s constant, $T$ is the absolute temperature, and $C$ is a capacitance. The stand...

Arjun

15.9k points

Arjun asked Feb 12, 2019

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221

GATE Electrical 2012 | Question: 63
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ notes that Raju has is $5$ $6$ $9$ $10$

Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ n...

Andrijana3306

1.4k points

Andrijana3306 asked Mar 23, 2018

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1 answer

222

GATE Electrical 2018 | GA Question: 4
For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k - 3)}$ an integer? $4 , 8 , 18 $ $4 , 10 , 16$ $ 4 , 8 , 28 $ $8 , 26 , 28$

For what values of $k$ given below is $\dfrac{(k + 2)^2}{(k - 3)}$ an integer?$4 , 8 , 18 $ $4 , 10 , 16$$ 4 , 8 , 28 $ $8 , 26 , 28$

Arjun

15.9k points

Arjun asked Feb 19, 2018

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223

GATE Electrical 2015 Set 2 | Question: 34
For linear time invariant systems, that are Bounded Input Bounded Output stable, which one of the following statements is TRUE? The impulse response will be integrable, but may not be absolutely integrable. The unit impulse response will have finite support. The unit step response will be absolutely integrable. The unit step response will be bounded

For linear time invariant systems, that are Bounded Input Bounded Output stable, which one of the following statements is TRUE?The impulse response will be integrable, bu...

makhdoom ghaya

9.4k points

makhdoom ghaya asked Feb 11, 2017

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224

GATE Electrical 2023 | Question: 19
The value of parameters of the circuit shown in the figure are $\qquad R_{1}=2 \Omega, R_{2}=2 \Omega, R_{3}=3 \Omega, L=10 \mathrm{mH}, C=100 \mu \mathrm{F}$ For time $t<0$ ... value of the voltage across the inductor $\left(V_{L}\right)$ at $t=0^{+}$in Volts is________ (Round off to $1$ decimal place).

The value of parameters of the circuit shown in the figure are $\qquad R_{1}=2 \Omega, R_{2}=2 \Omega, R_{3}=3 \Omega, L=10 \mathrm{mH}, C=100 \mu \mathrm{F}$ For time $t...

admin

1.7k points

admin asked May 20, 2023

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225

GATE Electrical 2014 Set 2 | Question: 44
A system with the open loop transfer function $G(s)=\dfrac{K}{s(s+2)(s^2+2s+2)}$ is connected in a negative feedback configuration with a feedback gain of unity. For the closed loop system to be marginally stable, the value of $K$ is ______

A system with the open loop transfer function $$G(s)=\dfrac{K}{s(s+2)(s^2+2s+2)}$$ is connected in a negative feedback configuration with a feedback gain of unity. For th...

makhdoom ghaya

9.4k points

makhdoom ghaya asked Feb 11, 2017

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226

GATE Electrical 2016 Set 1 | Question: 26
Candidates were asked to come to an interview with $3$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probability that a candidate comes with all $3$ pens having the same colour is _________.

Candidates were asked to come to an interview with $3$ pens each. Black, blue, green and red were the permitted pen colours that the candidate could bring. The probabilit...

makhdoom ghaya

9.4k points

makhdoom ghaya asked Jan 29, 2017

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1 answer

227

GATE Electrical 2018 | GA Question: 5
Functions $F(a,b)$ and $G(a,b)$ are defined as follows: $F(a,b)=(a-b)^{2}$ and $G(a,b)=\mid a-b\mid ,$ where $\mid x\mid$ represents the absolute value of $x.$ What would be the value of $G(F(1,3),G(1,3))?$ $2$ $4$ $6$ $36$

Functions $F(a,b)$ and $G(a,b)$ are defined as follows:$F(a,b)=(a-b)^{2}$ and $G(a,b)=\mid a-b\mid ,$ where $\mid x\mid$ represents the absolute value of $x.$What would b...

Arjun

15.9k points

Arjun asked Feb 19, 2018

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228

GATE Electrical 2018 | Question: 41
In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain $\beta = 100$. The base-emitter voltage drop is a constant, $V_{BE}=0.7 \: V$. The value of the Thevenin equivalent resistance $R_{Th}$ (in $\Omega$) as shown in the figure is _________ (up to $2$ decimal places)

In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain $\beta = 100$. The base-emitter voltage drop is a constant, $V_{BE}=0.7 \: V$...

Arjun

15.9k points

Arjun asked Feb 19, 2018

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229

GATE Electrical 2013 | Question: 43
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of $0.8$. An ac voltage $V_{WX1}=100V$ is applied across $WX$ to get an open circuit voltage $Y_{YZ1} $ across $YZ$. Next, an ac voltage$V_{YZ2}=100V$ is applied ... , $125/100$ and $80/100$ $100/100$ and $80/100$ $100/100$ and $100/100$ $80/100$ and $80/100$

The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of $0.8$. An ac voltage $V_{WX1}=100V$ is applied across $WX$ t...

piyag476

1.6k points

piyag476 asked Feb 11, 2017

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230

GATE Electrical 2015 Set 2 | Question: 7
A capacitive voltage divider is used to measure the bus voltage $V_{\text{bus}}$ in a high-voltage $50$ Hz AC system as shown in the figure. The measurement capacitors $C_{1}$ and $C_{2}$ have tolerances of $\pm 10\%$ on their nominal ... $V_{\text{out}}$ (in $kV$), considering the capacitor tolerances, is _______.

A capacitive voltage divider is used to measure the bus voltage $V_{\text{bus}}$ in a high-voltage $50$ Hz AC system as shown in the figure. The measurement capacitors $C...

makhdoom ghaya

9.4k points

makhdoom ghaya asked Feb 11, 2017

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231

GATE Electrical 2016 Set 2 | Question: 36
In the balanced $3$-phase, $50$ Hz, circuit shown below, the value of inductance $(L)$ is $10$ mH. The value of the capacitance $(C)$ for which all the line currents are zero, in millifarads, is ___________.

In the balanced $3$-phase, $50$ Hz, circuit shown below, the value of inductance $(L)$ is $10$ mH. The value of the capacitance $(C)$ for which all the line currents are ...

makhdoom ghaya

9.4k points

makhdoom ghaya asked Jan 29, 2017

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232

GATE Electrical 2023 | Question: 28
Consider a lead compensator of the form $K(s)=\frac{1+\frac{s}{a}}{1+\frac{s}{\beta a}}, \beta>1, a>0$ The frequency at which this compensator produces maximum phase lead is $ 4 \mathrm{rad} / \mathrm{s}.$ At this frequency, the gain amplification provided ... $6 \mathrm{~dB}$. The values of $\alpha, \beta,$ respectively, are $1,16$ $2,4$ $3,5$ $2.66,2.25$

Consider a lead compensator of the form $$K(s)=\frac{1+\frac{s}{a}}{1+\frac{s}{\beta a}}, \beta>1, a>0$$The frequency at which this compensator produces maximum phase lea...

admin

1.7k points

admin asked May 20, 2023

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233

GATE Electrical 2017 Set 2 | Question: 55
A thin soap bubble of radius $R=1$ cm, and thickness $a=3.3 \mu m (a << R)$, is at a potential of $1$ V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical drop ... resulting single spherical drop with respect to the same reference point at infinity is _________. (Give the answer up to two decimal places.)

A thin soap bubble of radius $R=1$ cm, and thickness $a=3.3 \mu m (a << R)$, is at a potential of $1$ V with respect to a reference point at infinity. The bubble bursts a...

Arjun

15.9k points

Arjun asked Feb 26, 2017

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234

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

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 $300$. Assumin...

makhdoom ghaya

9.4k points

makhdoom ghaya asked Feb 11, 2017

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1 answer

235

GATE Electrical 2019 | GA Question: 7
The ration of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the percentage of girls who passed the exam is $90.$ The percentage of boys who passed is _______. $55.50$ $72.50$ $80.50$ $90.00$

The ration of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the perc...

Arjun

15.9k points

Arjun asked Feb 12, 2019

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236

GATE Electrical 2021 | Question: 35
A $3$-Bus network is shown. Consider generators as ideal voltage sources. If rows $1,\:2$ and $3$ of the $Y_{Bus}$ matrix correspond to Bus $1,\:2$ and $3$, respectively, then $Y_{Bus}$ ...

A $3$-Bus network is shown. Consider generators as ideal voltage sources. If rows $1,\:2$ and $3$ of the $Y_{Bus}$ matrix correspond to Bus $1,\:2$ and $3$, respectively,...

Arjun

15.9k points

Arjun asked Feb 19, 2021

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237

GATE Electrical 2022 | Question: 8
A balanced Wheatstone bridge $\text{ABCD}$ has the following arm resistances: $R_{AB} = 1\:k\Omega \: \pm \:2.1\%; \:R_{BC} = 100\:\Omega \:\pm \:0.5\%; \: R_{CD}$ is an unknown resistance; $R_{DA} = 300 \:\Omega \: \pm \:0.4\%$ ... $30\:\Omega \:\pm \:0.9\:\Omega$ $3000\:\Omega \:\pm \:90\:\Omega$ $3000\:\Omega \:\pm \:3\:\Omega$

A balanced Wheatstone bridge $\text{ABCD}$ has the following arm resistances: $R_{AB} = 1\:k\Omega \: \pm \:2.1\%; \:R_{BC} = 100\:\Omega \:\pm \:0.5\%; \: R_{CD}$ is an ...

Arjun

15.9k points

Arjun asked Feb 15, 2022

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1 answer

238

GATE Electrical 2018 | GA Question: 10
$P, Q, R,$ and $S$ crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available. The boat held two persons on each of the three forward trips across the lake and one person ... person rowed for at least one trip. Only one person can row during a trip. Who rowed twice? $P$ $Q$ $R$ $S$

$P, Q, R,$ and $S$ crossed a lake in a boat that can hold a maximum of two persons, with only one set of oars. The following additional facts are available.The boat held ...

Arjun

15.9k points

Arjun asked Feb 19, 2018

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239

GATE Electrical 2024 | Question: 40
In the circuit shown, $Z_{1}=50 \angle-90^{\circ} \Omega$ and $Z_{2}=200 \angle-30^{\circ} \Omega$. It is supplied by a three phase $400 \mathrm{~V}$ source with the phase sequence being R-Y-B. Assume the watt meters $W_{1}$ ... The magnitude of the difference between the readings of $W_{1}$ and $W_{2}$ in watts is __________ (rounded off to $2$ decimal places).

In the circuit shown, $Z_{1}=50 \angle-90^{\circ} \Omega$ and $Z_{2}=200 \angle-30^{\circ} \Omega$. It is supplied by a three phase $400 \mathrm{~V}$ source with the phas...

Arjun

15.9k points

Arjun asked Feb 16

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240

GATE Electrical 2015 Set 2 | Question: 41
A composite conductor consists of three conductors of radius $R$ each. The conductors are arranged as shown below. The geometric mean radius $(GMR)$ (in cm) of the composite conductor is $kR$. The value of $k$ is __________.

A composite conductor consists of three conductors of radius $R$ each. The conductors are arranged as shown below. The geometric mean radius $(GMR)$ (in cm) of the compos...

makhdoom ghaya

9.4k points

makhdoom ghaya asked Feb 11, 2017