Recent questions

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...

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...

​​​​​If $u(t)$ is the unit step function, then the region of convergence $\text{(ROC)}$ of the Laplace transform of the signal\[x(t)=e^{t^{2}}[u(t-1)-u(t-10)]\]is$-\infty...