Recent questions

Let a continuous-time signal be $x(t)=e^{j 9 t}+e^{j 5 t}$, where $j=\sqrt{-1}$ and $t$ is in seconds. The fundamental period of magnitude of $x(t)$, in seconds, is$\pi$$...

The minimized expression of the Boolean function $\mathrm{Y}(\mathrm{P}, \mathrm{Q}, \mathrm{R})$ implemented by the multiplexer (MUX) circuit shown in the figure is$\mat...

The $4$-bit signed $2$'s complement form of $(5)_{10}+(5)_{10}$ is$(-6)_{10}$$(-7)_{10}$$(-5)_{10}$$(-8)_{10}$

An infinite sheet of uniform charge $\rho_{s}=10 \mathrm{C} / \mathrm{m}^{2}$ is placed on $z=0$ plane. The medium surrounding the sheet has a relative permittivity of $1...

For the ideal opamp based circuit shown in the figure, the ratio $\frac{V}{I}$ is$\left(\frac{R_{3}+R_{4}}{R_{1}+R_{3}}\right) R_{1}$$\left(\frac{R_{2}+R_{4}}{R_{1}+R_{3}...

In a single-phase AC circuit, the power consumed by load resistance $R_{\mathrm{L}}$ for an excitation $V_{\mathrm{S}}$ is measured using a wattmeter. The same wattmeter ...

Match the following sensors with their most suitable applications.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Sensor} & & \textbf{Application} \\ \hline \text{P} & \text{...

A $3\frac{1}{ 2}$ digit digital voltmeter has a specified accuracy of $\pm(0.5 \%+1)$. If it is used to measure $10 \:\mathrm{V}$ DC voltage, the error in the measurement...

The circuit shown in Figure (a) can be represented using its equivalent T-model as shown in Figure (b). The values of the inductances $L_{1}, L_{2}$, and $L_{3}$ in the e...

Three parallel admittances $Y_{a}=-j 0.2 \mathrm{~S}, Y_{b}=0.3 \mathrm{~S}$, and $\quad Y_{c}=j 0.4 \mathrm{~S}$ connected in parallel with a voltage source $V_{s}=10 \a...

An oscilloscope has an input resistance of $1 \mathrm{M} \Omega$. A $10$ X passive attenuating probe is connected to it to increase the input voltage range as well as the...

For the transfer function $G(s)=1+\frac{2 s-1}{s^{3}+5 s^{2}+3 s+22}$, the number of zeros lying in the left half of the $s$-plane is$0$$1$$2$$3$

Consider the control system block diagram given in Figure (a). The loop transfer function $G(s) \: H(s)$ does not have any pole on the $j \omega$-axis. The counterclockwi...

A $60 \: \mathrm{V}$ DC source with an internal resistance $R_{\text{i n t}}=0.5 \: \Omega$ is connected through a switch to a pair of infinitely long rails separated by ...

The circuits mentioned in the following options are realized using ideal opamp. Among these, the circuit(s) performing non-linear operation on the input signal is/areInst...

If one of the eigenvectors of the matrix $A=\left[\begin{array}{cc}-1 & -1 \\ x & -4\end{array}\right]$ is along the direction of $\left[\begin{array}{c}\alpha \\ 2 \alph...

Consider the function $f(z)=\frac{2 z+1}{z^{2}-z}$, where $z$ is a complex variable. The sum of the residues at singular points of $f(z)$ is ______________ (in integer).

A dual-slope ADC has a fixed integration time of $100 \: \mathrm{ms}$. The reference voltage of the ADC is $-5 \: \mathrm{V}$. The time taken by the ADC to measure an inp...

In the circuit shown, assume that the BJT in the circuit has very high $\beta$ and $V_{B E}=0.7 \mathrm{~V}$, and the Zener diode has $V_{Z}=4.7 \mathrm{~V}$. The current...

The value of the surface integral $\iint_{S}(2 x+z) \mathrm{d} y \mathrm{~d} z+(2 x+z) \mathrm{d} x \mathrm{~d} z+(2 z+y) \mathrm{d} x \mathrm{~d} y$ over the sphere $S: ...

Newton-Raphson method is used to compute the inverse of the number $1.6$. Among the following options, the initial guess of the solution that results in non-convergence o...

The value of the integral $\int_{-\pi}^{\pi}\left(\cos ^{6} x+\cos ^{4} x\right) \mathrm{d} x$ is$\frac{\pi}{2}$$\frac{5 \pi}{8}$$\frac{11 \pi}{8}$$\frac{9 \pi}{8}$

Let $y[n]=\frac{1}{\alpha} y[n-1]+x[n]$, where $\alpha>1$ and real, represent a difference equation of a causal discrete-time linear time invariant system. The system is ...

A chopper amplifier shown in the figure is designed to process a biomedical signal $v_{\text {in }}(t)$ to generate conditioned output $v_{\text {out }}(t)$. The signals ...

An $8$-bit microprocessor has $16$ -bit address bus $\left(\mathrm{A}_{15}-\mathrm{A}_{0}\right)$ where $\mathrm{A}_{0}$ is the LSB. As shown in Figure (a), it has a pre-...

A $3$-bit DAC is implemented using ideal opamp and switches as shown in the figure. Each of the switches gets closed when its corresponding digital input is at logic $1$....

Power consumed by a three-phase balanced load is measured using two-wattmeter method. The per-phase average power drawn by the load is $30 \: \mathrm{kW}$ at $\frac{\sqr...

The bridge circuit, shown in Figure (a), can be equivalently represented using the circuit shown in Figure (b). The values of $R_{1}, R_{2}$, and $V_{\mathrm{C}}$ in the ...

A $2$-pole, $50 \mathrm{~Hz}, 3$-phase induction motor supplies power to a certain load at $2970 \: \mathrm{rpm}$ . The torque-speed curve of this machine follows a linea...

The figure shows a closed-loop system with a plant $G(s)=\frac{1}{s^{2}}$ and a lead compensator $C(s)$. The compensator is designed to place the dominant closed-loop pol...

Let $f(t)$ and $g(t)$ represent continuous-time real-valued signals. If $h(t)$ denotes cross-correlation between $f(t)$ and $g(-t)$, its continuous-time Fourier transform...

Choose the correct statement(s) from the following options, regarding Cauchy's theorem on complex integration $\oint_{C} f(z) \mathrm{d} z$ where $C$ is a simple closed p...

The plant in the feedback control system shown in the figure is $P(s)=\frac{a}{s^{2}-b^{2}}$, where $a>0$ and $b>0$. The type(s) of controller $C(s)$ that CANNOT stabiliz...

Choose the eigenfunction(s) of stable linear time-invariant continuous-time systems from the following options.$e^{j \frac{2 \pi}{3} t}$$\cos \left(\frac{2 \pi}{3} t\righ...

The probability of a student missing a class is $0.1$. In a total number of $10$ classes, the probability that the student will not miss more than one class is __________...

A metallic strain-gauge $(\mathrm{SG})$ with resistance $R_{\mathrm{SG}}$ is connected as shown in the figure, where $R_{\mathrm{L} 1}, R_{\mathrm{L} 2}, R_{\mathrm{L} 3}...

Let $X\left(e^{j \omega}\right)$ represent the discrete time Fourier transform of a $4$-length sequence $x[n]$, where $x[0]=1, x =2, x =2$, and $x[3]=4 . X\left(e^{j \ome...

A schematic of a Michelson interferometer, used for the measurement of refractive index of gas, is shown in the figure. The transparent chamber is filled with a gas of re...