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242
GATE Electrical 2021 | Question: 50
An air-core radio-frequency transformer as shown has a primary winding and a secondary winding. The mutual inductance $M$ between the windings of the transformer is ____________ $\mu H$.(Round off to $2$ decimal places.)
An air-core radio-frequency transformer as shown has a primary winding and a secondary winding. The mutual inductance $M$ between the windings of the transformer is _____...
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246
GATE Electrical 2021 | Question: 54
Consider the buck-boost converter shown. Switch $Q$ is operating at $\text{25 kHz}$ and $0.75$ duty-cycle. Assume diode and switch to be ideal. Under steady-state condition, the average current flowing through the indicator is ____________$A$.
Consider the buck-boost converter shown. Switch $Q$ is operating at $\text{25 kHz}$ and $0.75$ duty-cycle. Assume diode and switch to be ideal. Under steady-state conditi...
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249
GATE Electrical 2020 | Question: 2
Which of the following is true for all possible non-zero choices of integers $m,n;m\neq n,$ or all possible non-zero choices of real numbers $p,q;p\neq q,$ ...
Which of the following is true for all possible non-zero choices of integers $m,n;m\neq n,$ or all possible non-zero choices of real numbers $p,q;p\neq q,$ as applicable?...
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252
GATE Electrical 2020 | Question: 5
The value of the following complex integral, with $\text{C}$ representing the unit circle centered at origin in the counterclockwise sense, is: $\int _{C}\frac{z^{2}+1}{z^{2}-2z}\:dz$ $8\pi i$ $-8\pi i$ $-\pi i$ $\pi i$
The value of the following complex integral, with $\text{C}$ representing the unit circle centered at origin in the counterclockwise sense, is:$$\int _{C}\frac{z^{2}+1}{z...
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256
GATE Electrical 2020 | Question: 9
Out of the following options, the most relevant information needed to specify the real power $\text{(P)}$ at the $\text{PV}$ buses in a load flow analysis is solution of economic load dispatch rated power output of the generator rated voltage of the generator base power of the generator
Out of the following options, the most relevant information needed to specify the real power $\text{(P)}$ at the $\text{PV}$ buses in a load flow analysis issolution of e...
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260
GATE Electrical 2020 | Question: 13
Which of the options is an equivalent representation of the signal flow graph shown here?
Which of the options is an equivalent representation of the signal flow graph shown here?
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261
GATE Electrical 2020 | Question: 14
A common-source amplifier with a drain resistance, $R_{D}=4.7\:k\Omega$, is powered using a $10\:V$ power supply. Assuming that the transconductance, $g_{m}$, is $520\:\mu A/V$, the voltage gain of the amplifier is closest to: $-2.44$ $-1.22$ $1.22$ $2.44$
A common-source amplifier with a drain resistance, $R_{D}=4.7\:k\Omega$, is powered using a $10\:V$ power supply. Assuming that the transconductance, $g_{m}$, is $520\:\m...
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263
GATE Electrical 2020 | Question: 16
Consider the initial value problem below. The value of y at $x=\ln{2}$, (rounded off to $3$ decimal places) is ______________. $\frac{\mathrm{d} y}{\mathrm{d} x}=2x-y,\:\:y\left ( 0 \right )=1$
Consider the initial value problem below. The value of y at $x=\ln{2}$, (rounded off to $3$ decimal places) is ______________.$$\frac{\mathrm{d} y}{\mathrm{d} x}=2x-y,\:\...
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264
GATE Electrical 2020 | Question: 17
A three-phase, $\text{50 Hz}$, $4$-pole induction motor runs at no-load with a slip of $1\%$. With full load, the slip increases to $5 \%$. The $\%$ speed regulation of the motor (rounded off to $2$ decimal places) is _____________________.
A three-phase, $\text{50 Hz}$, $4$-pole induction motor runs at no-load with a slip of $1\%$. With full load, the slip increases to $5 \%$. The $\%$ speed regulation of t...
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265
GATE Electrical 2020 | Question: 18
Currents through ammeters $\text{A2}$ and $\text{A3}$ in the figure are $1\angle 10^{\circ}\:and\:1\angle 70^{\circ}$, respectively. The reading of the ammeter $\text{A1}$ (rounded off to $3$ decimal places) is_______$\text{A}$.
Currents through ammeters $\text{A2}$ and $\text{A3}$ in the figure are $1\angle 10^{\circ}\:and\:1\angle 70^{\circ}$, respectively. The reading of the ammeter $\text{A1}...
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266
GATE Electrical 2020 | Question: 19
The Thevenin equivalent voltage, $V_{TH}$, in $\text{V}$ (rounded off to $2$ decimal places) of the network shown below, is _______
The Thevenin equivalent voltage, $V_{TH}$, in $\text{V}$ (rounded off to $2$ decimal places) of the network shown below, is _______
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269
GATE Electrical 2020 | Question: 22
A single-phase inverter is fed from a $100 \: V$ dc source and is controlled using a quasi-square wave modulation scheme to produce an output waveform, $\nu\left ( t \right )$, as shown. The angle $\sigma$ is adjusted to ... $2$ decimal places).
A single-phase inverter is fed from a $100 \: V$ dc source and is controlled using a quasi-square wave modulation scheme to produce an output waveform, $\nu\left ( t \rig...
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273
GATE Electrical 2020 | Question: 26
For real numbers, $\text{x}$ and $\text{y}$, with $y=3x^{2}+3x+1$, the maximum and minimum value of $\text{y}$ for $\text{x}$ $\in \left [ -2,0 \right ]$ are respectively, ______. $7$ and $1/4$ $7$ and $1$ $-2$ and $-1/2$ $1$ and $1/4$
For real numbers, $\text{x}$ and $\text{y}$, with $y=3x^{2}+3x+1$, the maximum and minimum value of $\text{y}$ for $\text{x}$ $\in \left [ -2,0 \right ]$ are respectively...
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276
GATE Electrical 2020 | Question: 29
Two buses, $\text{i and j}$, are connected with a transmission line admittance $y.$ ...
Two buses, $\text{i and j}$, are connected with a transmission line admittance $y.$, at the two ends of which there are ideal transformers with turns ratios as shown. Bus...
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