Recent questions tagged gate2025-ee

The maximum percentage error in the equivalent resistance of two parallel-connected resistors of $100 \: \Omega$ and $900 \: \Omega$ with each having a maximum $5 \%$ err...

Consider a distribution feeder, with $R / X$ ratio of $5$. At the receiving end, a $350 \: \mathrm{kVA}$ load is connected. The maximum voltage drop will occur from the s...

A symmetrical fault (through a fault impedance of $j 0.007 \mathrm{pu}$ ) occurs at bus $2$. Neglecting pre-fault loading conditions, the voltage at bus $1$, during the f...

In the circuit with ideal devices, the power MOSFET is operated with a duty cycle of $0.4$ in a switching cycle with $I=10 \mathrm{~A}$ and $V=15 \mathrm{~V}$. The power ...

The induced emf in a $3.3 \: \mathrm{kV}, 4$ pole, $3$-phase star connected synchronous motor is considered to be equal and in phase with the terminal voltage under no lo...

Let $X$ and $Y$ be continuous random variables with probability density functions $P_{X}(x)$ and $P_{Y}(y)$, respectively. Further, let $Y=X^{2}$ and$$P_{X}(x)=\begin{cas...

A Boolean function is given as\[f=(\bar{u}+\bar{v}+\bar{w}+\bar{x}) \cdot(\bar{u}+\bar{v}+\bar{w}+x) \cdot(\bar{u}+v+\bar{w}+\bar{x}) \cdot(\bar{u}+v+\bar{w}+x)\]The simp...

In the circuit, $I_{D C}$ is an ideal current source. The transistors $M_{1}$ and $M_{2}$ are assumed to be biased in saturation, wherein $V_{\text {in }}$ is the input s...

In the circuit, shown below, if the values of $R$ and $C$ are very large, the form of the output voltage for a very high frequency square wave input, is best represented ...

Let continuous-time signals $x_{1}(t)$ and $x_{2}(t)$ be$$x_{1}(t)=\begin{cases} 1, & t \in[0,1] \\ 2-t, & t \in[1,2] \\ 0, & \text { otherwise } \end{cases} \quad \text ...

Let $G(s)=\frac{1}{(s+1)(s+2)}$. Then the closed-loop system shown in the figure below, isstable for all $K>2$.unstable for all $K>2$.unstable for all $K>1$.stable for al...

The continuous-time unit impulse signal is applied as an input to a continuous-time linear time-invariant system $\boldsymbol{S}$. The output is observed to be the contin...

The transformer connection given in the figure is part of a balanced $3$-phase circuit where the phase sequence is " $a b c$ ". The primary to secondary turns ratio is $2...

A $\mathrm{DC}$ series motor with negligible series resistance is running at a certain speed driving a load, where the load torque varies as cube of the speed. The motor ...

A $3$-phase, $400 \mathrm{~V}, 4$ pole, $50 \: \mathrm{Hz}$ star connected induction motor has the following parameters referred to the stator:$$R_{r}^{\prime}=1 \Omega, ...

The $3$-phase modulating waveforms $\left(v_{a}(t), v_{b}(t)\right.$ and $\left.v_{c}(t)\right)$, used in sinusoidal PWM in a Voltage Source Inverter (VSI) are$$ \begin{a...

An ideal sinusoidal voltage source $v(t)=230 \sqrt{2} \sin (2 \pi \times 50 t) \: V$ feeds an ideal inductor $L$ through an ideal SCR with firing angle $\alpha=0^{\circ}$...

In the following circuit, the average voltage$V_{o}=400\left(1+\frac{\cos \alpha}{3}\right) \mathrm{V}$where $\alpha$ is the firing angle. If the power dissipated in the ...

In the system shown below, the generator was initially supplying power to the grid. A temporary LLLG bolted fault occurs at $F$ very close to circuit breaker $1$. The cir...

An air filled cylindrical capacitor (capacitance $C_{0}$ ) of length $L$, with $a$ and $b$ as its inner and outer radii, respectively, consists of two coaxial conducting ...

Let $\boldsymbol{a}_{\boldsymbol{R}}$ be the unit radial vector in the spherical co-ordinate system. For which of the following value(s) of $n$, the divergence of the rad...

Consider two coupled circuits, having self-inductances $L_{1}$ and $L_{2}$, that carry non-zero currents $I_{1}$ and $I_{2}$, respectively. The mutual inductance between ...

Consider ordinary differential equations given by$\begin{array}{l} \dot{x}_{1}(t)=2 x_{2}(t) \\ \dot{x}_{2}(t)=r(t) \end{array}$with initial conditions $x_{1}(0)=1$ and $...

Let $C$ be a clockwise oriented closed curve in the complex plane defined by $\mid z \mid =1$. Further, let $f(z)=j z$ be a complex function, where $j=\sqrt{-1}$. Then, $...

The op-amps in the following circuit are ideal. The voltage gain of the circuit is $\_\_\_\_\_\_\_\_\_\_\_$ (round off to the nearest integer).

The switch $( S )$ closes at $t=0 \: \mathrm{sec}$. The time, in sec, the capacitor takes to charge to $50\: \mathrm{V}$ is $\_\_\_\_\_\_\_\_$ (round off to one decimal ...

In an experiment to measure the active power drawn by a single-phase RL Load connected to an AC source through a $2\: \Omega$ resistor, three voltmeters are connected as ...

In the Wheatstone bridge shown below, the sensitivity of the bridge in terms of change in balancing voltage $E$ for unit change in the resistance $R$, in $\mathrm{mV} / \...

The steady state capacitor current of a conventional DC-DC buck converter, working in CCM, is shown in one switching cycle. If the input voltage is $30 \: V$, the value o...