Recent questions tagged gate2024-ee

​​​​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...

​​​​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 the volta...

​​​​​​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 resp...

​​​​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 a...

​​​​​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...

​​​​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[\begin{array}...

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

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...

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...

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...

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...

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...

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...

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}^...

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...

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 ...

Consider the stable closed-loop system shown in the figure. The asymptotic Bode magnitude plot of $G(s)$ has a constant slope of $-20 \mathrm{~dB} /$ decade at least till...

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...

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). 

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...

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...

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 ...

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...