Recent questions tagged numerical-answers

A uniform spherical volume charge distribution of radius $2$ m, centered at the origin, has a strength of $\frac{3}{\pi} \times 10^{-6} \mathrm{~C} / \mathrm{m}^{3}$. A p...

Consider discrete random variables $X$ and $Y$ with probabilities as follows:$$ \begin{array}{l} P(X=0 \text { and } Y=0)=\frac{1}{4} \\ P(X=1 \text { and } Y=0)=\frac{1}...

Consider a continuous-time signal$$ x(t)=-t^{2}\{u(t+4)-u(t-4)\}$$where $u(t)$ is the continuous-time unit step function. Let $\delta(t)$ be the continuous-time unit impu...

Selected data points of the step response of a stable first-order linear time-invariant (LTI) system are given below. The closest value of the time-constant, in sec, of t...

​​Which one of the following figures represents the radial electric field distribution $E_{R}$ caused by a spherical cloud of electrons with a volume charge density, $\rh...

The input voltage $v(t)$ and current $i(t)$ of a converter are given by,$\begin{array}{l} v(t)=300 \sin (\omega t) V \\ i(t)=10 \sin \left(\omega t-\frac{\pi}{6}\right)+2...

A continuous time periodic signal $x(t)$ is$ x(t)=1+2 \cos 2 \pi t+2 \cos 4 \pi t+2 \cos 6 \pi t$If $T$ is the period of $x(t)$, then $\frac{1}{T} \int_{0}^{T} \mid x(t)\...

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 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 ...

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...

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 ...

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 ...