GO Electrical
Login
Register
@
Dark Mode
Profile
Edit my Profile
Messages
My favorites
Register
Activity
Questions
Hot!
Unanswered
Tags
Subjects
Users
Ask
New Blog
Blogs
Exams
Dark Mode
Filter
No answer
No selected answer
No upvoted answer
Previous GATE
Featured
Recent questions without answers
0
votes
0
answers
1
GATE Electrical 2024 | Question: 1
Which one of the following matrices has an inverse? $\left[\begin{array}{ccc}1 & 4 & 8 \\ 0 & 4 & 2 \\ 0.5 & 2 & 4\end{array}\right]$ ... $\left[\begin{array}{ccc}1 & 4 & 8 \\ 0 & 4 & 2 \\ 3 & 12 & 24\end{array}\right]$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
1
vote
0
answers
2
GATE Electrical 2024 | Question: 2
The number of junctions in the circuit is $6$ $7$ $8$ $9$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
3
GATE Electrical 2024 | Question: 3
All the elements in the circuit are ideal. The power delivered by the $10 \mathrm{~V}$ source in watts is $0$ $50$ $100$ dependent on the value of $\alpha$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
4
GATE Electrical 2024 | Question: 4
The circuit shown in the figure with the switch $\text{S}$ open, is in steady state. After the switch $\text{S}$ is closed, the time constant of the circuit in seconds is $1.25$ $0$ $1$ $1.5$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
5
GATE Electrical 2024 | Question: 5
Suppose signal $y(t)$ is obtained by the time-reversal of signal $x(t)$, i.e., $y(t)=x(-t),-\infty<t<\infty$. Which one of the following options is always true for the convolution of $x(t)$ and $y(t)$? It is an even signal. It is an odd signal. It is a causal signal. It is an anti-causal signal.
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
6
GATE Electrical 2024 | Question: 6
If $u(t)$ is the unit step function, then the region of convergence $\text{(ROC)}$ of the Laplace transform of the signal \[ x(t)=e^{t^{2}}[u(t-1)-u(t-10)] \] is $-\infty<\operatorname{Re}(s)<\infty$ $\operatorname{Re}(s) \geq 10$ $\operatorname{Re}(s) \leq 1$ $1 \leq \operatorname{Re}(s) \leq 10$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
7
GATE Electrical 2024 | Question: 7
A three phase, $50 \mathrm{~Hz}, 6$ pole induction motor runs at $960 \mathrm{rpm}$. The stator copper loss, core loss, and the rotational loss of the motor can be neglected. The percentage efficiency of the motor is $92$ $94$ $96$ $98$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
8
GATE Electrical 2024 | Question: 8
Which one of the following options represents possible voltage polarities in a single phase two winding transformer? Here, $V_{p}$ is the applied primary voltage, $E_{p}$ is the induced primary voltage, $V_{s}$ is the open circuit secondary voltage, and $E_{s}$ is the induced secondary voltage.
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
9
GATE Electrical 2024 | Question: 9
The figure shows the single line diagram of a 4-bus power network. Branches $b_{1}$, $b_{2}, b_{3}$, and $b_{4}$ have impedances $4 z, z, 2 z$, and $4 z$ per-unit (pu), respectively, where $z=r+j x$, with $r>0$ and $x>0$. The ... $b_{1}$ $b_{2}$ $b_{3}$ $b_{4}$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
10
GATE Electrical 2024 | Question: 10
For the block-diagram shown in the figure, the transfer function $\frac{C(s)}{R(s)}$ is $\frac{G(s)}{1+2 G(s)}$ $-\frac{G(s)}{1+2 G(s)}$ $\frac{G(s)}{1-2 G(s)}$ $-\frac{G(s)}{1-2 G(s)}$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
11
GATE Electrical 2024 | Question: 11
Consider the standard second-order system of the form $\frac{\omega_{n}^{2}}{s^{2}+2 \zeta \omega_{n} s+\omega_{n}^{2}}$ with the poles $p$ and $p^{*}$ having negative real parts. The pole locations are also shown ... is more than that of System $1$. Settling times of both the systems are the same. Settling time cannot be computed from the given information.
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
12
GATE Electrical 2024 | Question: 12
Consider the cascaded system as shown in the figure. Neglecting the faster component of the transient response, which one of the following options is a firstorder pole-only approximation such that the steady-state values of the unit step responses of the original and the approximated systems ... $\frac{2}{s+1}$ $\frac{1}{s+20}$ $\frac{2}{s+20}$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
13
GATE Electrical 2024 | Question: 13
The table lists two instrument transformers and their features: \begin{array}{|l|l|} \hline \text{ Instrument Transformers } &\text{ Features } \\ \hline & \text{P}) \text{Primary is connected in parallel to the grid} \\ \hline \text{X}) \text{ ... $\mathrm{Q}$ and $\mathrm{S}$; $\mathrm{Y}$ matches with $\mathrm{P}$ and $\mathrm{R}$.
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
14
GATE Electrical 2024 | Question: 14
Simplified form of the Boolean function \[ F(P, Q, R, S)=\bar{P} \bar{Q}+\bar{P} Q S+P \bar{Q} \bar{R} \bar{S}+P \bar{Q} R \bar{S} \] is $\bar{P} S+\bar{Q} \bar{S}$ $\bar{P} \bar{Q}+\bar{Q} \bar{S}$ $\bar{P} Q+R \bar{S}$ $P \bar{S}+Q \bar{R}$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
15
GATE Electrical 2024 | Question: 15
In the circuit, the present value of $Z$ is $1$. Neglecting the delay in the combinatorial circuit, the values of $S$ and $Z$, respectively, after the application of the clock will be $S=0, Z=0$ $S=0, Z=1$ $S=1, Z=0$ $S=1, Z=1$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
16
GATE Electrical 2024 | Question: 16
To obtain the Boolean function $\text{F(X, Y)}=\text{X} \bar{\text{Y}}+\bar{\text{X}}$, the inputs $\text{PQRS}$ in the figure should be $1010$ $1110$ $0110$ $0001$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
17
GATE Electrical 2024 | Question: 17
If the following switching devices have similar power ratings, which one of them is the fastest? $\text{SCR}$ $\text{GTO}$ $\text{IGBT}$ $\text{Power MOSFET}$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
18
GATE Electrical 2024 | Question: 18
A single-phase triac based $\text{AC}$ voltage controller feeds a series $\text{RL}$ load. The input $\text{AC}$ supply is $230 \mathrm{~V}, 50 \mathrm{~Hz}$. The values of $\mathrm{R}$ and $\mathrm{L}$ are $10 \Omega$ ... minimum triggering angle of the triac to obtain controllable output voltage is $15^{\circ}$ $30^{\circ}$ $45^{\circ}$ $60^{\circ}$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
19
GATE Electrical 2024 | Question: 19
Let $\text{X}$ be a discrete random variable that is uniformly distributed over the set $\{-10,-9, \cdots, 0, \cdots, 9,10\}$. Which of the following random variables is/are uniformly distributed? $X^{2}$ $X^{3}$ $(X-5)^{2}$ $(X+10)^{2}$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
20
GATE Electrical 2024 | Question: 20
Which of the following complex functions is/are analytic on the complex plane? $f(z)=j \operatorname{Re}(z)$ $f(z)=\operatorname{Im}(z)$ $f(z)=e^{|z|}$ $f(z)=z^{2}-z$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
21
GATE Electrical 2024 | Question: 21
Consider the complex function $f(z)=\cos z+e^{z^{2}}$. The coefficient of $z^{5}$ in the Taylor series expansion of $f(z)$ about the origin is __________ (rounded off to $1$ decimal place).
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
numerical-answers
0
votes
0
answers
22
GATE Electrical 2024 | Question: 22
The sum of the eigenvalues of the matrix $A=\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]^{2}$ is ____________(rounded off to the nearest integer).
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
numerical-answers
0
votes
0
answers
23
GATE Electrical 2024 | Question: 23
Let $X(\omega)$ be the Fourier transform of the signal \[ x(t)=e^{-t^{4}} \cos t, \quad-\infty < t < \infty.\] The value of the derivative of $X(\omega)$ at $\omega=0$ is (rounded off to 1 decimal place).
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
numerical-answers
0
votes
0
answers
24
GATE Electrical 2024 | Question: 24
The incremental cost curves of two generators (Gen $\text{A}$ and Gen $\text{B}$) in a plant supplying a common load are shown in the figure. If the incremental cost of supplying the common load is Rs.$7400$ per MWh, then the common load in $\text{MW$ is _____________ (rounded off to the nearest integer).
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
numerical-answers
0
votes
0
answers
25
GATE Electrical 2024 | Question: 25
A forced commutated thyristorized step-down chopper is shown in the figure. Neglect the $\text{ON}$-state drop across the power devices. Assume that the capacitor is initially charged to $50 \mathrm{~V}$ with the polarity shown in the figure. ... in microseconds, when $\mathrm{Th}_{\mathrm{A}}$ is triggered, is _____________ (rounded off to the nearest integer).
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
numerical-answers
0
votes
0
answers
26
GATE Electrical 2024 | Question: 26
Consider a vector $\bar{u}=2 \hat{x}+\hat{y}+2 \hat{z}$, where $\hat{x}, \hat{y}, \hat{z}$ represent unit vectors along the coordinate axes $x, y, z$ respectively. The directional derivative of the function $f(x, y, z)=2 \ln (x y)+\ln (y z)+3 \ln (x z)$ at the point $(x, y, z)=(1,1,1)$ in the direction of $\bar{u}$ is $0$ $\frac{7}{5 \sqrt{2}}$ $7$ $21$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
27
GATE Electrical 2024 | Question: 27
The input $x(t)$ and the output $y(t)$ of a system are related as \[ y(t)=e^{-t} \int_{-\infty}^{t} e^{\tau} x(\tau) d \tau, \quad-\infty < t < \infty. \] The system is nonlinear. linear and time-invariant. linear but not time-invariant. noncausal.
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
28
GATE Electrical 2024 | Question: 28
Consider the discrete-time systems $T_{1}$ and $T_{2}$ defined as follows: \[ \begin{array}{c} \left\{T_{1} x\right\}[n]=x[0]+x[1]+\cdots+x[n] \\ \left\{T_{2} x\right\}[n]=x[0]+\frac{1}{2} x[1]+\cdots+\frac{1}{2^{n}} x[n] \ ... $T_{1}$ is BIBO stable but $T_{2}$ is not BIBO stable. $T_{1}$ is not BIBO stable but $T_{2}$ is BIBO stable.
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
29
GATE Electrical 2024 | Question: 29
If the $Z$-transform of a finite-duration discrete-time signal $x[n]$ is $X(z)$, then the $Z$ transform of the signal $y[n]=x[2 n]$ is $Y(z)=X\left(z^{2}\right)$ ... $Y(z)=\frac{1}{2}\left[X\left(z^{2}\right)+X\left(-z^{2}\right)\right]$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
30
GATE Electrical 2024 | Question: 30
A $3$-phase, $11 \mathrm{kV}, 10 \mathrm{MVA}$ synchronous generator is connected to an inductive load of power factor $(\sqrt{3} / 2)$ via a lossless line with a per-phase inductive reactance of $5 \Omega$. The per-phase synchronous reactance ... power factor at the terminal of the generator is $0.63$ lagging. $0.87$ lagging. $0.63$ leading. $0.87$ leading.
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
31
GATE Electrical 2024 | Question: 31
For the three-bus lossless power network shown in the figure, the voltage magnitudes at all the buses are equal to $1$ ... of the following options is correct? $\gamma=m \beta$ $\beta=m \gamma$ $\alpha=m \gamma$ $\alpha=m \beta$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
32
GATE Electrical 2024 | Question: 32
A $\text{BJT}$ biasing circuit is shown in the figure, where $V_{B E}=0.7 \mathrm{~V}$ and $\beta=100$. The Quiescent Point values of $V_{C E}$ and $I_{C}$ are respectively $4.6 \mathrm{~V}$ and $2.46 \mathrm{~mA}$ $3.5 \mathrm{~V}$ and $2.46 \mathrm{~mA}$ $2.61 \mathrm{~V}$ and $3.13 \mathrm{~mA}$ $4.6 \mathrm{~V}$ and $3.13 \mathrm{~mA}$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
33
GATE Electrical 2024 | Question: 33
Let $f(t)$ be a real-valued function whose second derivative is positive for $-\infty < t < \infty.$ Which of the following statements is/are always true? $f(t)$ has at least one local minimum. $f(t)$ cannot have two distinct local minima. $f(t)$ has at least one local maximum. The minimum value of $f(t)$ cannot be negative.
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
34
GATE Electrical 2024 | Question: 34
Consider the function $f(t)=(\max (0, t))^2$ for $-\infty<t<\infty$, where $\max (a, b)$ denotes the maximum of $a$ and $b$. Which of the following statements is/are true? $f(t)$ is not ... differentiable and its derivative is continuous. $f(t)$ is differentiable but its derivative is not continuous. $f(t)$ and its derivative are differentiable.
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
35
GATE Electrical 2024 | Question: 35
Which of the following differential equations is/are nonlinear? $t x(t)+\frac{d x(t)}{d t}=t^{2} e^{t}, \quad x(0)=0$ $\frac{1}{2} e^{t}+x(t) \frac{d x(t)}{d t}=0, \quad x(0)=0$ $x(t) \cos t-\frac{d x(t)}{d t} \sin t=1, \quad x(0)=0$ $x(t)+e^{\left(\frac{d x(t)}{d t}\right)}=1, \quad x(0)=0$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
36
GATE Electrical 2024 | Question: 36
For a two-phase network, the phase voltages $V_{p}$ and $V_{q}$ are to be expressed in terms of sequence voltages $V_{\alpha}$ and $V_{\beta}$ ... $\left[\begin{array}{cc}-1 & 1 \\ 1 & 1\end{array}\right]$
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
37
GATE Electrical 2024 | Question: 37
Which of the following options is/are correct for the Automatic Generation Control (AGC) and Automatic Voltage Regulator (AVR) installed with synchronous generators? AGC response has a local effect on frequency while AVR response ... . AGC regulates the generator's mechanical power input while AVR regulates the field current of the synchronous generator.
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
0
votes
0
answers
38
GATE Electrical 2024 | Question: 38
Two passive two-port networks $\mathbf{P}$ and $\mathbf{Q}$ are connected as shown in the figure. The impedance matrix of network $\mathbf{P}$ ... $\beta$ in $\Omega$ is ____________(rounded off to $2$ decimal places).
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
numerical-answers
0
votes
0
answers
39
GATE Electrical 2024 | Question: 39
For the circuit shown in the figure, the source frequency is $5000 \mathrm{rad} / \mathrm{sec}$. The mutual inductance between the magnetically coupled inductors is $5 \mathrm{mH}$ with their self inductances being $125 \mathrm{mH}$ and $1 \mathrm{mH}$ ... the terminals $\text{P}$ and $\text{Q}$ in $\Omega$ is ____________ (rounded off to $2$ decimal places).
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
numerical-answers
0
votes
0
answers
40
GATE Electrical 2024 | Question: 40
In the circuit shown, $Z_{1}=50 \angle-90^{\circ} \Omega$ and $Z_{2}=200 \angle-30^{\circ} \Omega$. It is supplied by a three phase $400 \mathrm{~V}$ source with the phase sequence being R-Y-B. Assume the watt meters $W_{1}$ ... The magnitude of the difference between the readings of $W_{1}$ and $W_{2}$ in watts is __________ (rounded off to $2$ decimal places).
Arjun
asked
in
new
Feb 16
by
Arjun
15.9k
points
gate2024-ee
numerical-answers
Page:
1
2
3
4
...
35
next »
Welcome to GATE Overflow, Electrical, where you can ask questions and receive answers from other members of the community.
Recent questions without answers