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201
GATE Electrical 2021 | Question: 29
In the circuit, switch '$S$' is in the closed position for a very long time. If the switch is opened at time $t = 0$, then in $i_{L} (t)$ amperes, for $t\geq0$ is $8e^{-10t}$ $10$ $8+2e^{-10t}$ $10\left ( 1-e^{-2t} \right )$
In the circuit, switch '$S$' is in the closed position for a very long time. If the switch is opened at time $t = 0$, then in $i_{L} (t)$ amperes, for $t\geq0$ is$8e^{-10...
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202
GATE Electrical 2021 | Question: 30
The input impedance, $Z_{in}\left ( s \right )$ for the network shown is $\frac{23s^{2}+46s+20}{4s+5}$ $6s+4$ $7s+4$ $\frac{25s^{2}+46s+20}{4s+5}$
The input impedance, $Z_{in}\left ( s \right )$ for the network shown is$\frac{23s^{2}+46s+20}{4s+5}$$6s+4$$7s+4$$\frac{25s^{2}+46s+20}{4s+5}$
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203
GATE Electrical 2021 | Question: 31
The casual signal with $z$-transformer $Z^{2}\left ( Z-a \right )^{-2}$ is ($u[n]$ is the unit step signal) $a^{2n}u\left [ n \right ]$ $\left ( n+1 \right )a^{n}u\left [ n \right ]$ $n^{-1}a^{n}u\left [ n \right ]$ $n^{2}a^{n}u\left [ n \right ]$
The casual signal with $z$-transformer $Z^{2}\left ( Z-a \right )^{-2}$ is ($u[n]$ is the unit step signal)$a^{2n}u\left [ n \right ]$$\left ( n+1 \right )a^{n}u\left [ n...
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206
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,...
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208
GATE Electrical 2021 | Question: 39
A three-phase balanced voltage is applied to the load shown. The phase sequence is $\text{RYB}$. The ratio $\frac{\left | I_{B} \right |}{|I_{R}|}$ is ____________.
A three-phase balanced voltage is applied to the load shown. The phase sequence is $\text{RYB}$. The ratio $\frac{\left | I_{B} \right |}{|I_{R}|}$ is ____________.
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209
GATE Electrical 2021 | Question: 40
In the given circuit, for maximum power to be delivered to $R_{L}$, its value should be ______________ $\Omega$. (Round off to $2$ decimal places.)
In the given circuit, for maximum power to be delivered to $R_{L}$, its value should be ______________ $\Omega$.(Round off to $2$ decimal places.)
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216
GATE Electrical 2021 | Question: 48
The waveform shown in solid line is obtained by clipping a full-wave rectified sinusoid (shown dashed). The ratio of the $\text{RMS}$ value of the full-wave rectified waveform to the $\text{RMS}$ value of the clipped waveform is _______________. (Round off to $2$ decimal places.)
The waveform shown in solid line is obtained by clipping a full-wave rectified sinusoid (shown dashed). The ratio of the $\text{RMS}$ value of the full-wave rectified wav...
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218
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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222
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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228
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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231
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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232
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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234
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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235
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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236
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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238
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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