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#101
List item number 101
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586
586 views
GATE Electrical 2025 | Question: 24
In the circuit with ideal devices, the power MOSFET is operated with a duty cycle of $0.4$ in a switching cycle with $I=10 \mathrm{~A}$ and $V=15 \mathrm{~V}$. The power ...
Shubham Sharma 2
586
views
asked
Mar 6, 2025
Power Electronics
gate2025-ee
numerical-answers
power-electronics
electric-circuits
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#102
List item number 102
1
1 vote
0
0 answers
406
406 views
GATE Electrical 2025 | Question: 25
The induced emf in a $3.3 \: \mathrm{kV}, 4$ pole, $3$-phase star connected synchronous motor is considered to be equal and in phase with the terminal voltage under no lo...
Shubham Sharma 2
406
views
asked
Mar 6, 2025
Electrical Machines
gate2025-ee
numerical-answers
electrical-machines
power-systems
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#103
List item number 103
0
0 votes
0
0 answers
558
558 views
GATE Electrical 2025 | Question: 26
Let $X$ and $Y$ be continuous random variables with probability density functions $P_{X}(x)$ and $P_{Y}(y)$, respectively. Further, let $Y=X^{2}$ and$$P_{X}(x)=\begin{cas...
Shubham Sharma 2
558
views
asked
Mar 6, 2025
Probability & Statistics
gate2025-ee
probability-and-statistics
probability-density-function
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#104
List item number 104
1
1 vote
0
0 answers
291
291 views
GATE Electrical 2025 | Question: 27
A Boolean function is given as\[f=(\bar{u}+\bar{v}+\bar{w}+\bar{x}) \cdot(\bar{u}+\bar{v}+\bar{w}+x) \cdot(\bar{u}+v+\bar{w}+\bar{x}) \cdot(\bar{u}+v+\bar{w}+x)\]The simp...
Shubham Sharma 2
291
views
asked
Mar 6, 2025
Analog and Digital Electronics
gate2025-ee
analog-and-digital-electronics
boolean-function
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#105
List item number 105
0
0 votes
0
0 answers
577
577 views
GATE Electrical 2025 | Question: 28
In the circuit, $I_{D C}$ is an ideal current source. The transistors $M_{1}$ and $M_{2}$ are assumed to be biased in saturation, wherein $V_{\text {in }}$ is the input s...
Shubham Sharma 2
577
views
asked
Mar 6, 2025
Analog and Digital Electronics
gate2025-ee
analog-and-digital-electronics
electric-circuits
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#106
List item number 106
0
0 votes
0
0 answers
589
589 views
GATE Electrical 2025 | Question: 29
In the circuit, shown below, if the values of $R$ and $C$ are very large, the form of the output voltage for a very high frequency square wave input, is best represented ...
Shubham Sharma 2
589
views
asked
Mar 6, 2025
Electric Circuits
gate2025-ee
electric-circuits
square-wave
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#107
List item number 107
0
0 votes
0
0 answers
213
213 views
GATE Electrical 2025 | Question: 30
Let continuous-time signals $x_{1}(t)$ and $x_{2}(t)$ be$$x_{1}(t)=\begin{cases} 1, & t \in[0,1] \\ 2-t, & t \in[1,2] \\ 0, & \text { otherwise } \end{cases} \quad \text ...
Shubham Sharma 2
213
views
asked
Mar 6, 2025
Signals and Systems
gate2025-ee
signals-and-systems
numerical-answers
convolution
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#108
List item number 108
0
0 votes
0
0 answers
189
189 views
GATE Electrical 2025 | Question: 31
Let $G(s)=\frac{1}{(s+1)(s+2)}$. Then the closed-loop system shown in the figure below, isstable for all $K>2$.unstable for all $K>2$.unstable for all $K>1$.stable for al...
Shubham Sharma 2
189
views
asked
Mar 6, 2025
Control Systems
gate2025-ee
control-systems
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#109
List item number 109
0
0 votes
0
0 answers
304
304 views
GATE Electrical 2025 | Question: 32
The continuous-time unit impulse signal is applied as an input to a continuous-time linear time-invariant system $\boldsymbol{S}$. The output is observed to be the contin...
Shubham Sharma 2
304
views
asked
Mar 6, 2025
Signals and Systems
gate2025-ee
signals-and-systems
control-systems
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#110
List item number 110
0
0 votes
0
0 answers
182
182 views
GATE Electrical 2025 | Question: 33
The transformer connection given in the figure is part of a balanced $3$-phase circuit where the phase sequence is " $a b c$ ". The primary to secondary turns ratio is $2...
Shubham Sharma 2
182
views
asked
Mar 6, 2025
Power Systems
gate2025-ee
power-systems
electrical-machines
+
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#111
List item number 111
0
0 votes
0
0 answers
344
344 views
GATE Electrical 2025 | Question: 34
A $\mathrm{DC}$ series motor with negligible series resistance is running at a certain speed driving a load, where the load torque varies as cube of the speed. The motor ...
Shubham Sharma 2
344
views
asked
Mar 6, 2025
Electrical Machines
gate2025-ee
electrical-machines
numerical-answers
+
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#112
List item number 112
0
0 votes
0
0 answers
150
150 views
GATE Electrical 2025 | Question: 35
A $3$-phase, $400 \mathrm{~V}, 4$ pole, $50 \: \mathrm{Hz}$ star connected induction motor has the following parameters referred to the stator:$$R_{r}^{\prime}=1 \Omega, ...
Shubham Sharma 2
150
views
asked
Mar 6, 2025
new
gate2025-ee
electrical-machines
power-electronics
numerical-answers
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#113
List item number 113
0
0 votes
0
0 answers
190
190 views
GATE Electrical 2025 | Question: 36
The $3$-phase modulating waveforms $\left(v_{a}(t), v_{b}(t)\right.$ and $\left.v_{c}(t)\right)$, used in sinusoidal PWM in a Voltage Source Inverter (VSI) are$$ \begin{a...
Shubham Sharma 2
190
views
asked
Mar 6, 2025
Power Electronics
gate2025-ee
power-electronics
analog-and-digital-electronics
numerical-answers
+
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#114
List item number 114
0
0 votes
0
0 answers
453
453 views
GATE Electrical 2025 | Question: 37
An ideal sinusoidal voltage source $v(t)=230 \sqrt{2} \sin (2 \pi \times 50 t) \: V$ feeds an ideal inductor $L$ through an ideal SCR with firing angle $\alpha=0^{\circ}$...
Shubham Sharma 2
453
views
asked
Mar 6, 2025
Electric Circuits
gate2025-ee
electric-circuits
+
–
#115
List item number 115
1
1 vote
0
0 answers
249
249 views
GATE Electrical 2025 | Question: 38
In the following circuit, the average voltage$V_{o}=400\left(1+\frac{\cos \alpha}{3}\right) \mathrm{V}$where $\alpha$ is the firing angle. If the power dissipated in the ...
Shubham Sharma 2
249
views
asked
Mar 6, 2025
Power Electronics
gate2025-ee
power-electronics
numerical-answers
+
–
#116
List item number 116
0
0 votes
0
0 answers
331
331 views
GATE Electrical 2025 | Question: 39
In the system shown below, the generator was initially supplying power to the grid. A temporary LLLG bolted fault occurs at $F$ very close to circuit breaker $1$. The cir...
Shubham Sharma 2
331
views
asked
Mar 6, 2025
Power Systems
gate2025-ee
power-systems
electric-circuits
+
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#117
List item number 117
0
0 votes
0
0 answers
220
220 views
GATE Electrical 2025 | Question: 40
An air filled cylindrical capacitor (capacitance $C_{0}$ ) of length $L$, with $a$ and $b$ as its inner and outer radii, respectively, consists of two coaxial conducting ...
Shubham Sharma 2
220
views
asked
Mar 6, 2025
Electric Circuits
gate2025-ee
electric-circuits
capacitor
dielectric
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#118
List item number 118
0
0 votes
0
0 answers
266
266 views
GATE Electrical 2025 | Question: 41
Let $\boldsymbol{a}_{\boldsymbol{R}}$ be the unit radial vector in the spherical co-ordinate system. For which of the following value(s) of $n$, the divergence of the rad...
Shubham Sharma 2
266
views
asked
Mar 6, 2025
Electromagnetic Fields
gate2025-ee
electromagnetic-fields
vector
divergence
analytical-aptitude
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#119
List item number 119
0
0 votes
0
0 answers
321
321 views
GATE Electrical 2025 | Question: 42
Consider two coupled circuits, having self-inductances $L_{1}$ and $L_{2}$, that carry non-zero currents $I_{1}$ and $I_{2}$, respectively. The mutual inductance between ...
Shubham Sharma 2
321
views
asked
Mar 6, 2025
Electromagnetic Fields
gate2025-ee
electromagnetic-fields
electric-circuits
numerical-answers
+
–
#120
List item number 120
0
0 votes
1
1 answer
291
291 views
GATE Electrical 2025 | Question: 43
Let $(x, y) \in \Re^{2}$. The rate of change of the real valued function,$V(x, y)=x^{2}+x+y^{2}+1$at the origin in the direction of the point $(1,2)$ is $\_\_\_\_\_\_\_\_...
Shubham Sharma 2
291
views
asked
Mar 6, 2025
Calculus
gate2025-ee
numerical-answers
calculus
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