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361
GATE Electrical 2017 Set 2 | Question: 30
In the circuit shown below, the value of capacitor $C$ required for maximum power to be transferred to the load is $1$ nF $1 \mu F$ $1$ mF $10$ mF
In the circuit shown below, the value of capacitor $C$ required for maximum power to be transferred to the load is $1$ nF$1 \mu F$$1$ mF$10$ mF
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363
GATE Electrical 2017 Set 2 | Question: 28
The eigenvalues of the matrix given below are $\begin{bmatrix} 0 & 1 & 0\\ 0 & 0 & 1\\ 0 & -3 & -4 \end{bmatrix}$ $(0, -1, -3)$ $(0, -2, -3)$ $(0, 2, 3)$ $(0, 1, 3)$
The eigenvalues of the matrix given below are$\begin{bmatrix}0 & 1 & 0\\ 0 & 0 & 1\\ 0 & -3 & -4\end{bmatrix}$$(0, -1, -3)$$(0, -2, -3)$$(0, 2, 3)$$(0, 1, 3)$
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364
GATE Electrical 2017 Set 2 | Question: 27
The value of the contour integral in the complex plane $\oint \frac{z^{3}-2z+3}{z-2} dz$ along the contour $\mid z \mid =3$, taken counter- clockwise is $-18 \pi i$ $0$ $14 \pi i$ $48 \pi i$
The value of the contour integral in the complex plane $\oint \frac{z^{3}-2z+3}{z-2} dz$ along the contour $\mid z \mid =3$, taken counter- clockwise is$-18 \pi i$$0$$14...
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368
GATE Electrical 2017 Set 2 | Question: 23
The mean square value of the given periodic waveform $f(t)$ is __________.
The mean square value of the given periodic waveform $f(t)$ is __________.
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369
GATE Electrical 2017 Set 2 | Question: 22
The initial charge in the $1$ F capacitor present in the circuit shown is zero. The energy in joules transferred from the $DC$ source until steady state condition is reached equals _________. (Give the answer up to one decimal place.)
The initial charge in the $1$ F capacitor present in the circuit shown is zero. The energy in joules transferred from the $DC$ source until steady state condition is reac...
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370
GATE Electrical 2017 Set 2 | Question: 21
For the given $2$-port network, the value of transfer impedance $z_{21}$ in ohms is _________.
For the given $2$-port network, the value of transfer impedance $z_{21}$ in ohms is _________.
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371
GATE Electrical 2017 Set 2 | Question: 20
Let $y^{2}-2y+1=x$ and $\sqrt{x}+y=5$. The value of $x+\sqrt{y}$ equals _________. (Give the answer up to three decimal places).
Let $y^{2}-2y+1=x$ and $\sqrt{x}+y=5$. The value of $x+\sqrt{y}$ equals _________. (Give the answer up to three decimal places).
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372
GATE Electrical 2017 Set 2 | Question: 19
Let $x$ and $y$ be integers satisfying the following equations $2x^{2}+y^{2}=34$ $x+2y=11$ The value of $(x+y)$ is _______.
Let $x$ and $y$ be integers satisfying the following equations$2x^{2}+y^{2}=34$$x+2y=11$The value of $(x+y)$ is _______.
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373
GATE Electrical 2017 Set 2 | Question: 18
Consider a function $f(x, y, z)$ given by $f(x, y, z)=(x^{2}+y^{2}-2z^{2})(y^{2}+z^{2})$ The partial derivative of this function with respect to $x$ at the point, $x=2, y=1$ and $z=3$ is _______.
Consider a function $f(x, y, z)$ given by$f(x, y, z)=(x^{2}+y^{2}-2z^{2})(y^{2}+z^{2})$The partial derivative of this function with respect to $x$ at the point, $x=2, y=1...
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377
GATE Electrical 2017 Set 2 | Question: 14
A $3$-phase, $4$-pole, $400$V, $50$Hz squirrel-cage induction motor is operating at a slip of $0.02$. The speed of the rotor flux in mechanical rad/sec, sensed by a stationary observer, is closest to $1500$ $1470$ $157$ $154$
A $3$-phase, $4$-pole, $400$V, $50$Hz squirrel-cage induction motor is operating at a slip of $0.02$. The speed of the rotor flux in mechanical rad/sec, sensed by a stati...
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380
GATE Electrical 2017 Set 2 | Question: 11
A phase-controlled, single-phase, full-bridge converter is supplying a highly inductive $DC$ load. The converter is fed from a $230$ V, $50$ Hz, AC source. The fundamental frequency in Hz of the voltage ripple on the $DC$ side is $25$ $50$ $100$ $300$
A phase-controlled, single-phase, full-bridge converter is supplying a highly inductive $DC$ load. The converter is fed from a $230$ V, $50$ Hz, AC source. The fundamenta...
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381
GATE Electrical 2017 Set 2 | Question: 10
For a $3$-input logic circuit shown below, the output $Z$ can be expressed as $Q+\overline{R}$ $P\overline{Q}+R$ $\overline{Q}+R$ $P+\overline{Q}+R$
For a $3$-input logic circuit shown below, the output $Z$ can be expressed as $Q+\overline{R}$$P\overline{Q}+R$$\overline{Q}+R$$P+\overline{Q}+R$
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382
GATE Electrical 2017 Set 2 | Question: 9
A stationary closed Lissajous pattern on an oscilloscope has $3$ horizontal tangencies and $2$ vertical tangencies for a horizontal input with frequency $3$kHz. The frequency of the vertical input is $1.5$kHz $2$kHz $3$kHz $4.5$kHz
A stationary closed Lissajous pattern on an oscilloscope has $3$ horizontal tangencies and $2$ vertical tangencies for a horizontal input with frequency $3$kHz. The frequ...
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383
GATE Electrical 2017 Set 2 | Question: 8
Two resistors with nominal resistance values $R_{1}$ and $R_{2}$ have additive uncertainties $\bigtriangleup R_{1}$ and $\bigtriangleup R_{2}$, respectively. When these resistances are connected in parallel, the standard deviation of the error in the equivalent ...
Two resistors with nominal resistance values $R_{1}$ and $R_{2}$ have additive uncertainties $\bigtriangleup R_{1}$ and $\bigtriangleup R_{2}$, respectively. When these r...
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385
GATE Electrical 2017 Set 2 | Question: 6
When a unit ramp input is applied to the unity feedback system having closed loop transfer function $\frac{C(s)}{R(s)}=\frac{Ks+b}{s^{2}+as+b}, (a>0, b>0, K>0)$, the steady state error will be $0 \\ $ $\frac{a}{b} \\$ $\frac{a+K}{b} \\$ $\frac{a-K}{b}$
When a unit ramp input is applied to the unity feedback system having closed loop transfer function $\frac{C(s)}{R(s)}=\frac{Ks+b}{s^{2}+as+b}, (a>0, b>0, K>0)$, the stea...
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386
GATE Electrical 2017 Set 2 | Question: 5
If a synchronous motor is running at a leading power factor, its excitation induced voltage $(E_{f})$ is Equal to terminal voltage $V_{t}$ Higher than the terminal voltage $V_{t}$ Less than terminal voltage $V_{t}$ Dependent upon supply voltage $V_{t}$
If a synchronous motor is running at a leading power factor, its excitation induced voltage $(E_{f})$ isEqual to terminal voltage $V_{t}$Higher than the terminal voltage ...
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388
GATE Electrical 2017 Set 2 | Question: 3
The figures show diagramatic representations of vector fields $\vec{X}, \vec{Y}, \text{and} \vec{Z}$ ... $\bigtriangledown . \vec{X}=0,\bigtriangledown \times \vec{Y} = 0, \bigtriangledown \times \vec{Z}=0$
The figures show diagramatic representations of vector fields $\vec{X}, \vec{Y}, \text{and} \vec{Z}$ respectively. Which one of the following choices is true?$\bigtriangl...
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393
GATE Electrical 2017 Set 1 | GA Question: 8
The expression $\frac{(x+y)-|x-y|}{2}$ is equal to The maximum of $x$ and $y$ The minimum of $x$ and $y$ $1$ None of the above.
The expression $\frac{(x+y)-|x-y|}{2}$ is equal toThe maximum of $x$ and $y$The minimum of $x$ and $y$$1$None of the above.
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396
GATE Electrical 2017 Set 1 | GA Question: 5
The probability that a $k$-digit number does NOT contain the digits $0, 5$ or $9$ is $0.3^{k}$ $0.6^{k}$ $0.7^{k}$ $0.9^{k}$
The probability that a $k$-digit number does NOT contain the digits $0, 5$ or $9$ is$0.3^{k}$$0.6^{k}$$0.7^{k}$$0.9^{k}$
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397
GATE Electrical 2017 Set 1 | GA Question: 4
Find the smallest number $y$ such that $y \times 162$ is a perfect cube. $24$ $27$ $32$ $36$
Find the smallest number $y$ such that $y \times 162$ is a perfect cube.$24$$27$$32$$36$
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399
GATE Electrical 2017 Set 1 | GA Question: 2
Research in the workplace reveals that people work for many reasons ________. Money beside Beside money Money besides Besides money
Research in the workplace reveals that people work for many reasons ________.Money besideBeside moneyMoney besidesBesides money
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400
GATE Electrical 2017 Set 1 | GA Question: 1
After Rajendra Chola returned from his voyage to Indonesia, he ________ to visit the temple in Thanjavur. Was wishing Is wishing Wished Had wished
After Rajendra Chola returned from his voyage to Indonesia, he ________ to visit the temple in Thanjavur.Was wishingIs wishingWishedHad wished
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