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#141
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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_{...
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#142
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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 (p...
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#143
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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...
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#144
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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 negati...
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#145
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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 pol...
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#146
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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}) \tex...
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#147
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918
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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}$$\bar{P...
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#148
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GATE Electrical 2024 | Question: 15
​​​​​In the circuit, the present value of $Z$ is $1$. Neglecting the delay in the combinatorial circuit, the values of $S$ and $Z$, respectively, after the application of...
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#149
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GATE Electrical 2024 | Question: 16
​​​​​To obtain the Boolean function $\text{F(X, Y)}=\text{X} \bar{\text{Y}}+\bar{\text{X}}$, the inputs $\text{PQRS}$ in the figure should be$1010$$1110$$0110$$0001$
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#150
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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}$$\text{Power MOSFET}$
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#151
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817
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GATE Electrical 2024 | Question: 18
​​​​​A single-phase triac based $\text{AC}$ voltage controller feeds a series $\text{RL}$ load. The input $\text{AC}$ supply is $230 \mathrm{~V}, 50 \mathrm{~Hz}$. The va...
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#152
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GATE Electrical 2024 | Question: 19
​​​​​Let $\text{X}$ be a discrete random variable that is uniformly distributed over the set $\{-10,-9, \cdots, 0, \cdots, 9,10\}$. Which of the following random variable...
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#153
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GATE Electrical 2024 | Question: 20
​​​​Which of the following complex functions is/are analytic on the complex plane?$f(z)=j \operatorname{Re}(z)$$f(z)=\operatorname{Im}(z)$$f(z)=e^{|z|}$$f(z)=z^{2}-z$
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#154
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944
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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 ...
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#155
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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).
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#156
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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 (r...
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#157
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1.2k
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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 s...
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#158
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957
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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 init...
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#159
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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. Th...
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#160
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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 isno...
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