Recent activity

0 votes

1 answer

1

GATE Electrical 2024 | Question: 1
Which one of the following matrices has an inverse? $\left[\begin{array}{ccc}1 & 4 & 8 \\ 0 & 4 & 2 \\ 0.5 & 2 & 4\end{array}\right]$ ... $\left[\begin{array}{ccc}1 & 4 & 8 \\ 0 & 4 & 2 \\ 3 & 12 & 24\end{array}\right]$

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}{lll}1...

140 points

Anmolkr1885 answered Mar 23

1 votes

1 answer

2

GATE Electrical 2022 | GA Question: 8
The price of an item is $10\%$ cheaper in an online store $\text{S}$ compared to the price at another online store $\text{M}$. Store $\text{S}$ charges $\text{₹ }150$ ... $\text{₹}$) if there are no other charges than what is described above? $2500$ $2250$ $1750$ $1500$

The price of an item is $10\%$ cheaper in an online store $\text{S}$ compared to the price at another online store $\text{M}$. Store $\text{S}$ charges $\text{₹ }150$ ...

100 points

Sachi Mathur commented Mar 15

0 votes

0 answers

3

GATE 2024 Electrical | GA Question: 9
The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinions can only rotate clockwise or anti-clockwise staying at its own center. Racks ... . Object $\mathrm{R}$ rotates in the anticlockwise direction. Object $\mathrm{Q}$ rotates in the clockwise direction.

The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinion...

9.4k points

makhdoom ghaya edited Feb 26

0 votes

0 answers

4

GATE 2024 Electrical | GA Question: 10
A surveyor has to measure the horizontal distance from her position to a distant reference point $\text{C}$. Using her position as the center, a $200 \mathrm{~m}$ horizontal line segment is drawn with the two endpoints $\text{A}$ ... $\mathrm{m}$ ) of the reference point $\mathrm{C}$ from her position is nearest to $2603$ $2606$ $2306$ $2063$

A surveyor has to measure the horizontal distance from her position to a distant reference point $\text{C}$. Using her position as the center, a $200 \mathrm{...

9.4k points

makhdoom ghaya edited Feb 26

0 votes

0 answers

5

GATE 2024 Electrical | GA Question: 8
The chart below shows the data of the number of cars bought by Millennials and Gen $\text{X}$ people in a country from the year $2010$ to $2020$ as well as the yearly fuel consumption of the country (in Million liters). Considering the data ... buyers from $2015$ to $2020$ is more than the increase in the number of Millennial car buyers from $2010$ to $2015$.

The chart below shows the data of the number of cars bought by Millennials and Gen $\text{X}$ people in a country from the year $2010$ to $2020$ as well as the yearly ...

9.4k points

makhdoom ghaya edited Feb 26

0 votes

0 answers

6

GATE 2024 Electrical | GA Question: 7
In the following figure, \[ \begin{array}{c} \mathrm{CD}=5 \mathrm{~cm}, \mathrm{BE}=10 \mathrm{~cm}, \mathrm{AE}=12 \mathrm{~cm}, \\ \angle \mathrm{DAB}=\angle \mathrm{DCB} \text {, and } \angle \mathrm{DAE}=\angle \mathrm{DBC}=90^{\circ} \end ... } \] Points $\text{AFCD}$ create a rhombus. The length of $\mathrm{BF}$ (in $\mathrm{cm}$ ) is $3$ $2$ $4$ $6$

In the following figure,\[\begin{array}{c}\mathrm{CD}=5 \mathrm{~cm}, \mathrm{BE}=10 \mathrm{~cm}, \mathrm{AE}=12 \mathrm{~cm}, \\\angle \mathrm{DAB}=\angle \...

9.4k points

makhdoom ghaya edited Feb 26

0 votes

0 answers

7

GATE 2024 Electrical | GA Question: 6
In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks. Following a row $\text{(i)}$ the shopkeeper $\text{(ii)}$_the price of a frying pan, the cook stood $\text{(iii)}$ a row to withdraw cash $\text{(iv)}$ ... $\text{(iv)}$ at $\text{(i)}$ over $\text{(ii)}$ with $\text{(iii)}$ over $\text{(iv)}$ at

In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks.Following a row $\text{(i)}$ the shopkeeper $\text{...

9.4k points

makhdoom ghaya edited Feb 26

0 votes

0 answers

8

GATE 2024 Electrical | GA Question: 5
If, for non-zero real variables $x, y$, and real parameter $a>1$, \[ x: y=(a+1):(a-1) \text {, } \] then, the ratio $\left(x^{2}-y^{2}\right):\left(x^{2}+y^{2}\right)$ is $2 a:\left(a^{2}+1\right)$ $a:\left(a^{2}+1\right)$ $2 a:\left(a^{2}-1\right)$ $a:\left(a^{2}-1\right)$

If, for non-zero real variables $x, y$, and real parameter $a>1$,\[x: y=(a+1):(a-1) \text {, }\]then, the ratio $\left(x^{2}-y^{2}\right):\left(x^{2}+y^{2}\right)$ ...

9.4k points

makhdoom ghaya edited Feb 26

0 votes

0 answers

9

GATE 2024 Electrical | Question: 4
A shopkeeper buys shirts from a producer and sells them at $20 \%$ profit. A customer has to pay ₹ $3,186.00$ including $18 \%$ taxes, per shirt. At what price did the shopkeeper buy each shirt from the producer? ₹ $2,500.00$ ₹ $1,975.40$ ₹ $2,250.00$ ₹ $2,548.80$

A shopkeeper buys shirts from a producer and sells them at $20 \%$ profit. A customer has to pay ₹ $3,186.00$ including $18 \%$ taxes, per shirt. At what pr...

9.4k points

makhdoom ghaya edited Feb 26

1 votes

0 answers

10

GATE 2024 Electrical | GA Question: 3
The decimal number system uses the characters $0,1,2, \ldots, 8,9$, and the octal number system uses the characters $0,1,2, \ldots, 6,7$. For example, the decimal number $12\left(=1 \times 10^{1}+2 \times 10^{0}\right)$ is expressed ... $108$ in the octal number system is $168$ $108$ $150$ $154$

The decimal number system uses the characters $0,1,2, \ldots, 8,9$, and the octal number system uses the characters $0,1,2, \ldots, 6,7$.For example, the deci...

9.4k points

makhdoom ghaya edited Feb 26

0 votes

0 answers

11

GATE 2024 Electrical | GA Question: 2
$\text{P}$ and $\text{Q}$ have been allotted a hostel room with two beds, a study table, and an almirah. $\mathrm{P}$ is an avid bird-watcher and wants to sit at the table and watch birds outside the window. $\text{Q}$ does not mind that as long as his bed is close to the ceiling fan. Which one of the following arrangements suits them the most?

$\text{P}$ and $\text{Q}$ have been allotted a hostel room with two beds, a study table, and an almirah. $\mathrm{P}$ is an avid bird-watcher and wants to ...

9.4k points

makhdoom ghaya edited Feb 26

1 votes

0 answers

12

GATE 2024 Electrical | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [talk $\rightarrow$ shout $\rightarrow$ scream] is analogous to [please $\rightarrow$ __________ $\rightarrow$ pander]. Which one of the given options is appropriate to fill the blank? flatter flutter fritter frizzle

If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [talk $\rightarrow$ shout $\rightarrow$ scream] is analogous to [...

9.4k points

makhdoom ghaya edited Feb 26

1 votes

0 answers

13

GATE Electrical 2024 | Question: 55
A single-phase full-controlled thyristor converter bridge is used for regenerative braking of a separately excited $\text{DC}$ motor with the following specifications: Rated armature voltage $210 \mathrm{~V}$ ... the triggering angle of the converter bridge in degrees should be ____________ (rounded off to $2$ decimal places).

A single-phase full-controlled thyristor converter bridge is used for regenerative braking of a separately excited $\text{DC}$ motor with the following specifications:Rat...

9.4k points

makhdoom ghaya edited Feb 26

0 votes

0 answers

14

GATE Electrical 2024 | Question: 54
In the $\mathrm{DC}-\mathrm{DC}$ converter shown in the figure, the current through the inductor is continuous. The switching frequency is $500 \mathrm{~Hz}$. The voltage $\left(V_{o}\right)$ across the load is assumed to be constant and ripple free. The peak inductor current in amperes is ______________ (rounded off to the nearest integer).

In the $\mathrm{DC}-\mathrm{DC}$ converter shown in the figure, the current through the inductor is continuous. The switching frequency is $500 \mathrm{~Hz}$. The voltage...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

15

GATE Electrical 2024 | Question: 53
A single-phase full bridge voltage source inverter $\text{(VSI)}$ feeds a purely inductive load. The inverter output voltage is a square wave in $180^{\circ}$ ... is $20 \mathrm{mH}$, the peak-topeak load current in amperes is _____________ (rounded off to the nearest integer).

A single-phase full bridge voltage source inverter $\text{(VSI)}$ feeds a purely inductive load. The inverter output voltage is a square wave in $180^{\circ}$ conduction ...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

16

GATE Electrical 2024 | Question: 52
A single-phase half-controlled bridge converter supplies an inductive load with ripple free load current. The triggering angle of the converter is $60^{\circ}$. The ratio of the rms value of the fundamental component of the input current to the rms value of the total input current of the bridge is _____________ (rounded off to $3$ decimal places).

A single-phase half-controlled bridge converter supplies an inductive load with ripple free load current. The triggering angle of the converter is $60^{\circ}$. The ratio...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

17

GATE Electrical 2024 | Question: 51
A difference amplifier is shown in the figure. Assume the op-amp to be ideal. The $\text{CMRR}$ (in $\mathrm{dB}$ ) of the difference amplifier is ___________ (rounded off to $2$ decimal places).

A difference amplifier is shown in the figure. Assume the op-amp to be ideal. The $\text{CMRR}$ (in $\mathrm{dB}$ ) of the difference amplifier is ___________ (rounded of...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

18

GATE Electrical 2024 | Question: 50
In the given circuit, the diodes are ideal. The current $\text{I}$ through the diode $\text{D} 1$ in milliamperes is __________(rounded off to two decimal places).

In the given circuit, the diodes are ideal. The current $\text{I}$ through the diode $\text{D} 1$ in milliamperes is __________(rounded off to two decimal places).

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

19

GATE Electrical 2024 | Question: 49
Consider the stable closed-loop system shown in the figure. The magnitude and phase values of the frequency response of $\text{G(s)}$ are given in the table. The value of the gain $K_{I}(>0)$ for a $50^{\circ}$ phase margin is __________ (rounded off to $2$ ... -80 \\ \hline 2.0 & -18 & -130 \\ \hline 10.0 & -40 & -200 \\ \hline \end{array}

Consider the stable closed-loop system shown in the figure. The magnitude and phase values of the frequency response of $\text{G(s)}$ are given in the table. The value of...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

20

GATE Electrical 2024 | Question: 47
Consider the closed-loop system shown in the figure with \[ G(s)=\frac{K\left(s^{2}-2 s+2\right)}{\left(s^{2}+2 s+5\right)} . \] The root locus for the closed-loop system is to be drawn for $0 \leq K<\infty$. The angle of ... $(-1+j 2)$, in degrees, is ___________(rounded off to the nearest integer).

Consider the closed-loop system shown in the figure with\[G(s)=\frac{K\left(s^{2}-2 s+2\right)}{\left(s^{2}+2 s+5\right)} .\]The root locus for the closed-loop system is ...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

21

GATE Electrical 2024 | Question: 46
The single line diagram of a lossless system is shown in the figure. The system is operating in steady-state at a stable equilibrium point with the power output of the generator being $P_{\max } \sin \delta$, where $\delta$ is the load angle ... , the accelerating area on the power angle curve is __________ times $P_{\max }$ (rounded off to $2$ decimal places).

The single line diagram of a lossless system is shown in the figure. The system is operating in steady-state at a stable equilibrium point with the power output of the ge...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

22

GATE Electrical 2024 | Question: 45
A $5 \mathrm{~kW}, 220 \mathrm{~V}$ $\text{DC}$ shunt motor has $0.5 \Omega$ armature resistance including brushes. The motor draws a no-load current of $3 \mathrm{~A}$. The field current is constant at $1 \mathrm{~A}$ ... ) drawn by the motor while delivering the rated load, for the best possible efficiency, is _____________ (rounded off to $2$ decimal places).

A $5 \mathrm{~kW}, 220 \mathrm{~V}$ $\text{DC}$ shunt motor has $0.5 \Omega$ armature resistance including brushes. The motor draws a no-load current of $3 \mathrm{~A}$. ...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

23

GATE Electrical 2024 | Question: 44
A $3$-phase star connected slip ring induction motor has the following parameters referred to the stator: \[ R_{s}=3 \Omega, X_{s}=2 \Omega, X_{r}^{\prime}=2 \Omega, R_{r}^{\prime}=2.5 \Omega \] The per phase stator to rotor ... to the rotor side) to be connected in series with each phase of the rotor winding is ____________ (rounded off to $2$ decimal places).

A $3$-phase star connected slip ring induction motor has the following parameters referred to the stator:\[R_{s}=3 \Omega, X_{s}=2 \Omega, X_{r}^{\prime}=2 \Omega, R_{r}^...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

24

GATE Electrical 2024 | Question: 43
If the energy of a continuous-time signal $x(t)$ is $\text{E}$ and the energy of the signal $2 x(2 t-1)$ is $c E$, then $c$ is ___________ (rounded off to $1$ decimal place).

If the energy of a continuous-time signal $x(t)$ is $\text{E}$ and the energy of the signal $2 x(2 t-1)$ is $c E$, then $c$ is ___________ (rounded off to $1$ decimal pla...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

25

GATE Electrical 2024 | Question: 42
The given equation represents a magnetic field strength $\bar{H}(r, \theta, \phi)$ in the spherical coordinate system, in free space. Here, $\hat{r}$ and $\hat{\theta}$ represent the unit vectors along $r$ and $\theta$, respectively. The value of $\text{P}$ in the ... bar{H}(r, \theta, \phi)=\frac{1}{r^{3}}(\hat{r} P \cos \theta+\hat{\theta} \sin \theta) \]

The given equation represents a magnetic field strength $\bar{H}(r, \theta, \phi)$ in the spherical coordinate system, in free space. Here, $\hat{r}$ and $\hat{\theta}$ r...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

26

GATE Electrical 2024 | Question: 41
In the $(x, y, z)$ coordinate system, three point-charges $\text{Q, Q}$, and $\alpha \text{Q}$ are located in free space at $(-1,0,0),(1,0,0)$, and $(0,-1,0)$, respectively. The value of $\alpha$ for the electric field to be zero at $(0,0.5,0)$ is ____________ (rounded off to $1$ decimal place).

In the $(x, y, z)$ coordinate system, three point-charges $\text{Q, Q}$, and $\alpha \text{Q}$ are located in free space at $(-1,0,0),(1,0,0)$, and $(0,-1,0)$, respective...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

27

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).

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 phas...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

28

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).

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 \m...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

29

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).

Two passive two-port networks $\mathbf{P}$ and $\mathbf{Q}$ are connected as shown in the figure. The impedance matrix of network $\mathbf{P}$ is $Z_{\mathbf{P}}=\left[\b...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

30

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.

Which of the following options is/are correct for the Automatic Generation Control (AGC) and Automatic Voltage Regulator (AVR) installed with synchronous gene...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

31

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 $V_{\beta}$ ... $\left[\begin{array}{cc}-1 & 1 \\ 1 & 1\end{array}\right]$

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 $V_{\beta}$ as $\left[\begi...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

32

GATE Electrical 2024 | Question: 35
Which of the following differential equations is/are nonlinear? $t x(t)+\frac{d x(t)}{d t}=t^{2} e^{t}, \quad x(0)=0$ $\frac{1}{2} e^{t}+x(t) \frac{d x(t)}{d t}=0, \quad x(0)=0$ $x(t) \cos t-\frac{d x(t)}{d t} \sin t=1, \quad x(0)=0$ $x(t)+e^{\left(\frac{d x(t)}{d t}\right)}=1, \quad x(0)=0$

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(...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

33

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.

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 stateme...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

34

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.

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...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

35

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 $3.13 \mathrm{~mA}$

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_{...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

36

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? $\gamma=m \beta$ $\beta=m \gamma$ $\alpha=m \gamma$ $\alpha=m \beta$

For the three-bus lossless power network shown in the figure, the voltage magnitudes at all the buses are equal to $1$ per unit (pu), and the differences of t...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

37

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.

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 wi...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

38

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 $Y(z)=X\left(z^{2}\right)$ ... $Y(z)=\frac{1}{2}\left[X\left(z^{2}\right)+X\left(-z^{2}\right)\right]$

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)$$...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

39

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.

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 +\cdots+x[n] \\\left\{T_{2} x\right\...

9.4k points

makhdoom ghaya edited Feb 25

0 votes

0 answers

40

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.

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 syste...

9.4k points

makhdoom ghaya edited Feb 25

To see more, click for the full list of questions or popular tags.