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401
GATE Electrical 2017 Set 2 | Question: 37
For the circuit shown in the figure below, it is given that $V_{CE}=\frac{V_{CC}}{2}$. The transistor has $\beta=29$ and $V_{BE}=0.7 V$ when the $B-E$ junction is forward biased. For this circuit, the value of $\frac{R_{B}}{R}$ is $43$ $92$ $121$ $129$
For the circuit shown in the figure below, it is given that $V_{CE}=\frac{V_{CC}}{2}$. The transistor has $\beta=29$ and $V_{BE}=0.7 V$ when the $B-E$ junction is forward...
Arjun
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Arjun
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402
GATE Electrical 2017 Set 1 | Question: 31
Let the signal $x(t)=\sum_{k=-\infty }^{+\infty } (-1)^{k} \delta (t-\frac{k}{2000})$ be passed through an LTI system with frequency response $H(\omega )$ ... $2000+2000\cos (2000 \pi t)+2000\cos (4000 \pi t)$ $4000\cos (2000 \pi t)$ $2000\cos (2000 \pi t)$
Let the signal$x(t)=\sum_{k=-\infty }^{+\infty } (-1)^{k} \delta (t-\frac{k}{2000})$be passed through an LTI system with frequency response $H(\omega )$, as given in the ...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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403
GATE Electrical 2017 Set 1 | Question: 46
Two parallel connected, three-phase, $50$Hz, $11$kV, star-connected synchronous machines $A$ and $B$, are operating as synchronous condensers. They together supply $50$MVAR to a $11$kV grid. Current supplied by both the machines are equal. ... excitation current of machine $A$ to that of machine $B$ is _______. (Give the answer up to two decimal places.)
Two parallel connected, three-phase, $50$Hz, $11$kV, star-connected synchronous machines $A$ and $B$, are operating as synchronous condensers. They together supply $50$MV...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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404
GATE Electrical 2017 Set 2 | Question: 53
Two generating units rated $300$MW and $400$MW have governor speed regulation of $6 \%$ and $4 \%$ respectively from no load to full load. Both the generating units are operating in parallel to share a load of $600$MW. Assuming free governor action, the load shared by the larger unit is _________ MW.
Two generating units rated $300$MW and $400$MW have governor speed regulation of $6 \%$ and $4 \%$ respectively from no load to full load. Both the generating units are o...
Arjun
15.9k
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Arjun
asked
Feb 26, 2017
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405
GATE Electrical 2017 Set 1 | Question: 51
Consider a causal and stable $LTI$ system with rational transfer function $H(z)$, whose corresponding impulse response begins at $n=0$. Furthermore, $H(1)=\frac{5}{4}$. The poles of $H(z)$ ... $g[n]=j^{n}h[n]$. The value of $g[8]$ equals __________. (Give the answer up to three decimal places.)
Consider a causal and stable $LTI$ system with rational transfer function $H(z)$, whose corresponding impulse response begins at $n=0$. Furthermore, $H(1)=\frac{5}{4}$. T...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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406
GATE Electrical 2017 Set 1 | Question: 49
A separately excited $DC$ generator supplies $150$A to a $145$V DC grid. The generator is running at $800$RPM. The armature resistance of the generator is $0.1\Omega$. If the speed of the generator is increased to $1000$ RPM, the current in amperes supplied by the generator to the $DC$ grid is ______. (Give the answer up to one decimal place.)
A separately excited $DC$ generator supplies $150$A to a $145$V DC grid. The generator is running at $800$RPM. The armature resistance of the generator is $0.1\Omega$. If...
Arjun
15.9k
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Arjun
asked
Feb 26, 2017
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numerical-answers
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407
GATE Electrical 2017 Set 2 | Question: 2
Consider a solid sphere of radius $5$ cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed Uniformly over the entire volume of the sphere. Uniformly over the ... the sphere. Concentrated around the centre of the sphere. Along a straight line passing through the centre of the sphere.
Consider a solid sphere of radius $5$ cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributedUnifo...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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408
GATE Electrical 2017 Set 1 | Question: 20
A three-phase, $50$Hz, star-connected cylindrical rotor synchronous machine is running as a motor. The machine is operated from a $6.6$ kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is $30 \Omega$ ... $30^{\circ}$. The power delivered to the motor in kW is __________. (Give the answer up to one decimal place).
A three-phase, $50$Hz, star-connected cylindrical rotor synchronous machine is running as a motor. The machine is operated from a $6.6$ kV grid and draws current at unity...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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409
GATE Electrical 2017 Set 2 | Question: 31
The output $y(t)$ of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is $1000$ samples/s $1500$ samples/s $2000$ samples/s $3000$ samples/s
The output $y(t)$ of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is$1000$ samples/s$1500$...
Arjun
15.9k
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Arjun
asked
Feb 26, 2017
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410
GATE Electrical 2017 Set 1 | Question: 55
The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is $1.5 \sin \delta$, where $\delta$ is the rotor angle. The system is operating at the stable equilibrium point with ... $P_{\max}$, in pu is ______. (Give the answer up to three decimal places.)
The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is $1.5 \sin \delta$, where $\delt...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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411
GATE Electrical 2017 Set 1 | Question: 37
The logical gate implemented using the circuit shown below where $V_{1}$ and $V_{2}$ are inputs (with $0$V as digital $0$ and $5$V as digital $1$) and $V_{out}$ is the output, is NOT NOR NAND XOR
The logical gate implemented using the circuit shown below where $V_{1}$ and $V_{2}$ are inputs (with $0$V as digital $0$ and $5$V as digital $1$) and $V_{out}$ is the ou...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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412
GATE Electrical 2017 Set 1 | Question: 44
The magnitude of magnetic flux density (B) in micro Teslas $(\mu T)$, at the centre of a loop of wire wound as a regular hexagon of side length $1 m$ carrying a current $(I=1 A)$, and placed in vacuum as shown in the figure is _________. (Give the answer up to two decimal places.)
The magnitude of magnetic flux density (B) in micro Teslas $(\mu T)$, at the centre of a loop of wire wound as a regular hexagon of side length $1 m$ carrying a current $...
Arjun
15.9k
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Arjun
asked
Feb 26, 2017
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413
GATE Electrical 2017 Set 2 | Question: 41
For the network given in the figure below, the Thevenin's voltage $V_{ab}$ is $-1.5$V $-0.5$V $0.5$V $1.5$V
For the network given in the figure below, the Thevenin's voltage $V_{ab}$ is$-1.5$V$-0.5$V$0.5$V$1.5$V
Arjun
15.9k
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Arjun
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Feb 26, 2017
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414
GATE Electrical 2017 Set 2 | Question: 36
Which of the following systems has maximum peak overshoot due to a unit step input? $\frac{100}{s^{2}+10s+100} \\$ $\frac{100}{s^{2}+15s+100} \\ $ $\frac{100}{s^{2}+5s+100} \\$ $\frac{100}{s^{2}+20s+100}$
Which of the following systems has maximum peak overshoot due to a unit step input?$\frac{100}{s^{2}+10s+100} \\$$\frac{100}{s^{2}+15s+100} \\ $$\frac{100}{s^{2}+5s+100} ...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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415
GATE Electrical 2017 Set 2 | Question: 39
The figure below shows a half-bridge voltage source inverter supplying an RL-load with $R=40 \Omega$ and $L=(\frac{0.3}{\pi})H$. The desired fundamental frequency of the load voltage is $50$Hz. The switch control signals of the converter are generated using ... $DC$ source voltage $V_{DC}$ in volts is. $300\sqrt{2}$ $500$ $500\sqrt{2}$ $1000\sqrt{2}$
The figure below shows a half-bridge voltage source inverter supplying an RL-load with $R=40 \Omega$ and $L=(\frac{0.3}{\pi})H$. The desired fundamental frequency of the ...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
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416
GATE Electrical 2017 Set 1 | Question: 45
A $375$W, $230$V, $50$Hz, capacitor start single-phase induction motor has the following constants for the main and auxiliary windings (at starting): $Z_{m}=(12.50+j15.75) \Omega$ ... of the capacitance (in $\mu F$) to be added in series with the auxiliary winding to obtain maximum torque at starting is ________.
A $375$W, $230$V, $50$Hz, capacitor start single-phase induction motor has the following constants for the main and auxiliary windings (at starting): $Z_{m}=(12.50+j15.75...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
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numerical-answers
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417
GATE Electrical 2017 Set 2 | Question: 48
In the circuit shown in the figure, the diode used is ideal. The input power factor is ________. (Give the answer up to two decimal places).
In the circuit shown in the figure, the diode used is ideal. The input power factor is ________. (Give the answer up to two decimal places).
Arjun
15.9k
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Arjun
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Feb 26, 2017
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418
GATE Electrical 2017 Set 2 | Question: 45
If the primary line voltage rating is $3.3$kV (Y side) of a $25$kVA, $Y-\Delta$ transformer (the per phase turns ratio is $5:1$), then the line current rating of the secondary side (in Ampere) is _______.
If the primary line voltage rating is $3.3$kV (Y side) of a $25$kVA, $Y-\Delta$ transformer (the per phase turns ratio is $5:1$), then the line current rating of the seco...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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419
GATE Electrical 2017 Set 2 | Question: 12
In the circuit shown, the diodes are ideal, the inductance is small, and $I_{0} \neq 0$. Which one of the following statements is true? $D_{1}$ conducts for greater than $180^{\circ}$ and $D_{2}$ conducts for greater than $180^{\circ}$. $D_{2}$ ... for $180^{\circ}$. $D_{1}$ conducts for more than $180^{\circ}$ and $D_{2}$ conducts for $180^{\circ}$.
In the circuit shown, the diodes are ideal, the inductance is small, and $I_{0} \neq 0$. Which one of the following statements is true?$D_{1}$ conducts for greater than $...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
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420
GATE Electrical 2017 Set 2 | Question: 46
Consider the system described by the following state space representation ... $y(t)$ at $t=1$ sec (rounded off to three decimal places) is ___________.
Consider the system described by the following state space representation$\begin{bmatrix}\dot{x}_{1}(t)\\\dot{x}_{2}(t)\end{bmatrix}=\begin{bmatrix}0 &1 \\0 & -2\end{bmat...
Arjun
15.9k
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Arjun
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Feb 26, 2017
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