Recent questions tagged numerical-answers

Consider a lead compensator of the form $$K(s)=\frac{1+\frac{s}{a}}{1+\frac{s}{\beta a}}, \beta>1, a>0$$The frequency at which this compensator produces maximum phase lea...

A $3$-phase, star-connected, balanced load is supplied from a $3$-phase, $400 \mathrm{~V (rms),}$ balanced voltage source with phase sequence $\text{R-Y-B},$ as shown in ...

An $8$-bit $\text{ADC}$ converts analog voltage in the range of $0$ to $+5 \mathrm{~V}$ to the corresponding digital code as per the conversion characteristics shown in f...

Consider the state-space description of an $\text{LTI}$ system with matrices$\qquad A=\left[\begin{array}{cc}0 & 1 \\-1 & -2\end{array}\right], B=\left[\begin{array}{l}0 ...

A three-phase synchronous motor with synchronous impedance of $0.1+\mathrm{j} 0.3 \text { per unit } $ per phase has a static stability limit of $2.5 \text { per unit.}$ ...

A three phase $415 \mathrm{~V}, 50 \mathrm{~Hz}, \text { 6-pole, } 960 \text { RPM, 4 HP}$ squirrel cage induction motor drives a constant torque load at rated speed oper...

The period of the discrete-time signal $ x[n]$ described by the equation below is $N=$________ (Round off to the nearest integer).$$x[n]=1+3 \sin \left(\frac{15 \pi}{8} n...

The discrete-time Fourier transform of a signal $ x[n]$ is $X (\Omega)=(1+\cos \Omega) e^{-j \Omega}$ Consider that $ x_{p}[n]$ is a periodic signal of period $ \mathrm{N...

For the circuit shown, if $ i=\sin 1000 t,$ the instantaneous value of the Thevenin's equivalent voltage (in Volts) across the terminals $a-b$ at time $t=5 \mathrm{~ms}$...

The admittance parameters of the passive resistive two-port network shown in the figure are$$y_{11}=5 S, y_{22}=1 S, y_{12}=y_{21}=-2.5 S$$The power delivered to the load...

When the winding $\text{c-d}$ of the single-phase, $50 \mathrm{~Hz},$ two winding transformer is supplied from an $\mathrm{AC}$ current source of frequency $50 \mathrm{~H...

The circuit shown in the figure is initially in the steady state with the switch $K$ in open condition and $\bar{K}$ in closed condition. The switch $ K$ is closed and $...

The circuit shown in the figure has reached steady state with thyristor ' $\text{T}$ ' in $\mathrm{OFF}$ condition. Assume that the latching and holding currents of the t...

Neglecting the delays due to the logic gates in the circuit shown in figure, the decimal equivalent of the binary sequence $\text{[ABCD]}$ of initial logic states, which ...

The single phase rectifier consisting of three thyristors $T_{1}, T_{2}, T_{3}$ and a diode $D_{1}$ feed power to a $10 \mathrm{~A}$ constant current load. $ T_{1}$ and ...

The Zener diode in circuit has a breakdown voltage of $ 5 \mathrm{~V} \text .$ The current gain $\beta$ of the transistor in the active region in $99.$ Ignore base-emitte...

The two-bus power system shown in figure (i) has one alternator supplying a synchronous motor load through a $Y- \Delta$ transformer. The positive, negative and zero-sequ...

An infinite surface of linear current density $\mathbf{K}=5 \hat{\mathbf{a}}_{\mathbf{x}} \mathbf{A} / \mathbf{m}$ exists on the $\text{x-y}$ plane, as shown in the fig...

The closed curve shown in the figure is described by $r=1+\cos \theta,$ where $r=\sqrt{x^{2}+y^{2}} ; x=r \cos \theta, y=r \sin \theta$ The magnitude of the line integra...

A signal $ x(t)=2 \cos (180 \pi t) \cos (60 \pi t)$ is sampled at $ 200 \mathrm{~Hz} $ and then passed through an ideal low pass filter having cut-off frequency of $100 \...

A balanced delta connected load consisting of the series connection of one resistor $(R=15 \; \Omega)$ and a capacitor $(C=212.21 \; \mu \mathrm{F})$ in each phase is con...

A quadratic function of two variables is given as $$ f\left(x_{1}, x_{2}\right)=x_{1}^{2}+2 x_{2}^{2}+3 x_{1}+3 x_{2}+x_{1} x_{2}+1$$The magnitude of the maximum rate of...

For an ideal $\text{MOSFET}$ biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is$0$$1$$100$infinite

The geometric mean radius of a conductor, having four equal strands with each strand of radius $’r’$, as shown in the figure below, is$4\:r$$1.414\:r$$2\:r$$1.723\:r$

The valid positive, negative and zero sequence impedances (in p.u), respectively, for a $220$ $\text{kV}$, fully transposed three-phase transmission line, from the given ...

A balanced Wheatstone bridge $\text{ABCD}$ has the following arm resistances: $R_{AB} = 1\:k\Omega \: \pm \:2.1\%; \:R_{BC} = 100\:\Omega \:\pm \:0.5\%; \: R_{CD}$ is an ...

In the circuit shown below, a three-phase star-connected unbalanced load is connect to a balanced three-phase supply of $100\:\sqrt{3}\:V$ with phase sequence $\text{ABC}...

A long conducing cylinder having a radius $’b’$ is placed along the $z$ axis. The current density is $J = J_{a} \:r^{3}\:\hat{z}$ for the region $r< b$ where $r$ is the d...

The voltage at the input of an $\text{AC-DC}$ rectifier is given by $v\left ( t \right ) = 230 \sqrt{2} \sin \omega t$ where $\omega = 2\pi \times 50$ rad/s. The input cu...