Register
Filter

Highest voted questions

0 votes
0 answers
82
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 $\bar{P} S+\bar{Q} \bar{S}$ $\bar{P} \bar{Q}+\bar{Q} \bar{S}$ $\bar{P} Q+R \bar{S}$ $P \bar{S}+Q \bar{R}$
​​​​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}...
0 votes
0 answers
83
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 $S=0, Z=0$ $S=0, Z=1$ $S=1, Z=0$ $S=1, Z=1$
​​​​​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 appl...
0 votes
0 answers
84
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 $1010$ $1110$ $0110$ $0001$
​​​​​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$$...
0 votes
0 answers
85
GATE Electrical 2024 | Question: 17
​​​​​If the following switching devices have similar power ratings, which one of them is the fastest? $\text{SCR}$ $\text{GTO}$ $\text{IGBT}$ $\text{Power MOSFET}$
​​​​​If the following switching devices have similar power ratings, which one of them is the fastest?$\text{SCR}$$\text{GTO}$$\text{IGBT}$$\text{Power MOSFET}$
0 votes
0 answers
87
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? $X^{2}$ $X^{3}$ $(X-5)^{2}$ $(X+10)^{2}$
​​​​​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 rando...
0 votes
0 answers
88
GATE Electrical 2024 | Question: 20
​​​​Which of the following complex functions is/are analytic on the complex plane? $f(z)=j \operatorname{Re}(z)$ $f(z)=\operatorname{Im}(z)$ $f(z)=e^{|z|}$ $f(z)=z^{2}-z$
​​​​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...
0 votes
0 answers
89
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).
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 ...
0 votes
0 answers
90
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).
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).
0 votes
0 answers
91
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).
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 (r...
0 votes
0 answers
95
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...
0 votes
0 answers
97
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)$$...
0 votes
0 answers
99
GATE Electrical 2024 | Question: 31
For the three-bus lossless power network shown in the figure, the voltage magnitudes at all the buses are equal to $1$ ... of the following options is correct? $\gamma=m \beta$ $\beta=m \gamma$ $\alpha=m \gamma$ $\alpha=m \beta$
​​​​For the three-bus lossless power network shown in the figure, the voltage magnitudes at all the buses are equal to $1$ per unit (pu), and the differences of t...
0 votes
0 answers
103
GATE Electrical 2024 | Question: 35
Which of the following differential equations is/are nonlinear? $t x(t)+\frac{d x(t)}{d t}=t^{2} e^{t}, \quad x(0)=0$ $\frac{1}{2} e^{t}+x(t) \frac{d x(t)}{d t}=0, \quad x(0)=0$ $x(t) \cos t-\frac{d x(t)}{d t} \sin t=1, \quad x(0)=0$ $x(t)+e^{\left(\frac{d x(t)}{d t}\right)}=1, \quad x(0)=0$
Which of the following differential equations is/are nonlinear?$t x(t)+\frac{d x(t)}{d t}=t^{2} e^{t}, \quad x(0)=0$$\frac{1}{2} e^{t}+x(t) \frac{d x(t)}{d t}=0, \quad x(...
0 votes
0 answers
104
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...
0 votes
0 answers
106
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...
0 votes
0 answers
111
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...
0 votes
0 answers
118
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).
0 votes
0 answers
119
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...
Page: