Recent questions tagged numerical-answers

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...

An ideal low pass filter has frequency response given by$H(j \omega)=\begin{cases}1, & \mid \omega \mid \leq 200 \pi \\ 0, & \text { otherwise }\end{cases}$Let $h(t)$ be ...

Consider the state-space model$\begin{array}{l}\dot{\boldsymbol{x}}(t)=A \boldsymbol{x}(t)+B r(t) \\y(t)=C \boldsymbol{x}(t)\end{array}$where $\boldsymbol{x}(t), r(t), y(...

Using shunt capacitors, the power factor of a $3$ -phase, $4 \: \mathrm{ kV}$ induction motor (drawing $390 \: \mathrm{kVA}$ at $0.77$ pf lag ) is to be corrected to $0.8...

Two units, rated at $100 \: \mathrm{MW}$ and $150 \: \mathrm{MW}$, are enabled for economic load dispatch. When the overall incremental cost is $10,000\: \mathrm{Rs}. / \...

A controller $D(s)$ of the form $\left(1+K_{D} s\right)$ is to be designed for the plant $G(s)=\frac{1000 \sqrt{2}}{s(s+10)^{2}}$ as shown in the figure. The value of $K_...

​The circuit shown in the figure with the switch $\text{S}$ open, is in steady state. After the switch $\text{S}$ is closed, the time constant of the circuit in seconds i...

​​​​​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...

​​​​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...

​​​​​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$

​​​​​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...

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 ...

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...

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...

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...

​​​​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...

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...

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...