Recent questions

Consider the unity-negative-feedback system shown in Figure $(i)$ below, where gain $K \geq 0$. The root locus of this system is shown in Figure $(ii)$ below.For what val...

Let $x[n]$ be a discrete-time signal whose $z$-transform is $X(z)$.Which of the following statements is/are TRUE?The discrete-time Fourier transform (DTFT) of $x[n]$ alwa...

Which of the following statements is/are TRUE with respect to an ideal opamp?It has an infinite input resistanceIt has an infinite output resistanceIt has an infinite ope...

Which of the following statements is/are TRUE with respect to ideal MOSFET-based DC-coupled single-stage amplifiers having finite load resistors?The common-gate amplifier...

The function $y(t)$ satisfies$$t^{2} y^{\prime \prime}(t)-2 t y^{\prime}(t)+2 y(t)=0,$$where $y^{\prime}(t)$ and $y^{\prime \prime}(t)$ denote the first and second deriva...

A $4$-bit weighted-resistor DAC with inputs $b_{3}, b_{2}, b_{1}$, and $b_{0}$ (MSB to LSB) is designed using an ideal opamp, as shown below. The switches are closed when...

Let $G(s)=\frac{1}{10 s^{2}}$ be the transfer function of a second-order system. A controller $M(s)$ is connected to the system $G(s)$ in the configuration shown below.Co...

Consider the polynomial $p(s)=s^{5}+7 s^{4}+3 s^{3}-33 s^{2}+2 s-40$. Let $(L, I, R)$ be defined as follows.$L$ is the number of roots of $p(s)$ with negative real parts....

Consider a continuous-time finite-energy signal $f(t)$ whose Fourier transform vanishes outside the frequency interval $\left[-\omega_{c}, \omega_{c}\right]$, where $\ome...

The $Z$-parameter matrix of a two port network relates the port voltages and port currents as follows:$$ \left[\begin{array}{l} V_{1} \\ V_{2} \end{array}\right]=Z\left[\...

A source transmits symbol $S$ that takes values uniformly at random from the set $\{-2,0,2\}$. The receiver obtains $Y=S+N$, where $N$ is a zero-mean Gaussian random vari...

Consider a real-valued random process$$f(t)=\sum_{n=1}^{N} a_{n} \: p(t-n T),$$where $T>0$ and $N$ is a positive integer. Here, $p(t)=1$ for $t \in[0,0.5 T]$ and $0$ othe...

The identical MOSFETs $M_{1}$ and $M_{2}$ in the circuit given below are ideal and biased in the saturation region. $\mathrm{M}_{1}$ and $\mathrm{M}_{2}$ have a transcond...

A $10$-bit analog-to-digital converter (ADC) has a sampling frequency of $1\: \mathrm{MHz}$ and a full scale voltage of $3.3 \: \mathrm{V}$.For an input sinusoidal signal...