Recent questions without an upvoted answer

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Capacitance ' $\text{C}$ ' of a parallel plate structure is calculated as $20 ~ \mathrm{pF}$ using $C=\frac{\varepsilon_0 \varepsilon_r A}{d}$, where $\varepsilon_o$ is t...
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The table shows the present state $\mathrm{Q}(\mathrm{t})$, next state $\mathrm{Q}(\mathrm{t}+1)$, and the control input in a flip-flop. Identify the flip-flop.$$\begin{a...
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Match the Exclusive-$\text{OR (XOR)}$ operations $\text{(i)}$ to $\text{(iv)}$ with the results $\text{(p)}$ to $\text{(s),}$ where $X$ is a Boolean input.$$\begin{array}...
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A light emitting diode $\text{(LED)}$ emits light when it is _________ biased. A photodiode provides maximum sensitivity to light when it is _____________ biased.forward...
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$F(z)=\frac{1}{1-z}$, when expanded as a power series around $z=2$, would result in $F(z)=\sum_{k=0}^{\infty} a_k(z-2)^k$, with the region of convergence $\text{(ROC) } |...
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The solution $x(t), t \geq 0$, to the differential equation $\ddot{x}=-k \dot{x}, k>0$ with initial conditions $x(0)=1$ and $\dot{x}(0)=0$ is$x(t)=2 e^{-k t}+2 k t-1$$x(t...
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A system has the transfer-function$\frac{Y(s)}{X(s)}=\frac{s-\pi}{s+\pi}$Let $u(t)$ be the unit-step function. The input $x(t)$ that results in a steady-state output $y(t...
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Choose the fastest logic family among the following: Transistor-Transistor Logic Emitter-Coupled Logic CMOS LogicResistor-Transistor Logic
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What is $\lim _{x \rightarrow 0} f(x)$, where $f(x)=x \sin \frac{1}{x} ?$$0$$1$$\infty$Limit does not exist
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The number of zeros of the polynomial $P(s)=s^{3}+2 s^{2}+5 s+80$ in the right- half plane is_________.
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The number of times the Nyquist plot of $G(s) H(s)=\frac{1}{2} \frac{(s-1)(s-2)}{(s+1)(s+2)}$ encircles the origin is_______________.
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The opamp in the circuit shown is ideal, except that it has an input bias current of $1 ~ \mathrm{nA}$ and an input offset voltage of $10 ~ \mu \mathrm{V}$. The resulting...
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The force per unit length between two infinitely long parallel conductors, with a gap of $2 \mathrm{~cm} $ between them is $10~ \mu \mathrm{N} / \mathrm{m}.$ When the gap...
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Consider the discrete-time signal $x[n]=u[-n+5]-u[n+3],$ where $u[n]=\left\{\begin{array}{l}1 ; n \geq 0 \\ 0 ; n<0\end{array}\right . $ The smallest $n$ for which $x[n]=...
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Let $y(t)=x(4 t),$ where $x(t)$ is a continuous-time periodic signal with fundamental period of $100 \mathrm{~s}.$ The fundamental period of $ y(t)$ is___________$s$ (rou...
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When the bridge given below is balanced, the current through the resistor $\mathrm{R}_{\mathrm{a}}$ is____________ $\mathrm{mA}$ (rounded off to two decimal places).
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In the circuit given, the Thevenin equivalent resistance $\mathrm{R}_{\mathrm{th}}$ across the terminals '$\mathrm{a}$' and ' $\mathrm{b}$' is____________$\Omega$ (rounde...
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$X$ is a discrete random variable which takes values $0,1$ and $2.$ The probabilities are $P(X=0)=0.25$ and $P(X=1)=0.5$. With $E[ .]$ denoting the expectation operator, ...
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The diode in the circuit is ideal. The current source $\mathrm{i}_{\mathrm{s}}(t)=\pi \sin (3000 \pi \mathrm{t}) \mathrm{~mA}.$ The magnitude of the average current flowi...
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The full-scale range of the wattmeter shown in the circuit is $100 \mathrm{~W}$. The turns ratio of the individual transformers are indicated in the figure. The RMS value...
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The no-load steady-state output voltage of a $\text{DC}$ shunt generator is $200 \mathrm{~V}$ when it is driven in the clockwise direction at its rated speed. If the same...
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The impulse response of an LTI system is $h(t)=\delta(t)+0.5 \delta(t-4)$, where $\delta(t)$ is the continuous-time unit impulse signal. If the input signal $x(t)=\cos \l...
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The Laplace transform of the continuous-time signal $x(t)=e^{-3 t} u(t-5)$ is_____________, where $u(t)$ denotes the continuous-time unit step signal.$\frac{e^{-5 s}}{s+3...
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In a $p-i-n$ photodiode, a pulse of light containing $8 \times 10^{12}$ incident photons at wavelength $\lambda_0=1.55~ \mu \mathrm{m}$ gives rise to an average $4 \times...
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Let $f(z)=j \frac{1-z}{1+z}$, where $z$ denotes a complex number and $j$ denotes $\sqrt{-1}$. The inverse function $f^{-1}(z)$ maps the real axis to the___________.unit c...
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The simplified form of the Boolean function $\mathrm{F}(W, X, Y, Z)=\Sigma(4,5,10,11,12,13$, $14,15)$ with the minimum number of terms and smallest number of literals in ...
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For the given digital circuit, $\mathrm{A}=\mathrm{B}=1$. Assume that $\mathrm{AND}, \mathrm{OR}$, and $\text{NOT}$ gates have propagation delays of $10 \mathrm{~ns}, 10 ...
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In the circuit shown, the initial binary content of shift register $A$ is $1101$ and that of shift register $B$ is $1010.$ The shift registers are positive-edge triggered...
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The magnitude and phase plots shown in the figure match with the transfer-function______________.$\frac{10000}{s^2+2 s+10000} $$ \frac{10000}{s^2+2 s+10000} e^{-0.05 s}$$...
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A continuous real-valued signal $x(t)$ has finite positive energy and $x(t)=0, \forall \; t<0.$ From the list given below, select ALL the signals whose continuous-time Fo...
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A silica-glass fiber has a core refractive index of $1.47$ and a cladding refractive index of $1.44.$ If the cladding is completely stripped out and the core is dipped in...
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In the circuit shown, $\omega=100 \pi \mathrm{rad} / \mathrm{s}, \mathrm{R}_1=\mathrm{R}_2=2.2 \Omega$ and $\mathrm{L}=7 \mathrm{mH}$. The capacitance $C$ for which $Y_{\...
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The $\mathrm{R}-\mathrm{L}$ circuit with $\mathrm{R}=10 ~ \mathrm{k} \Omega$ and $\mathrm{L}=1 \mathrm{mH}$ is excited by a step current $\mathrm{I}_{\mathrm{u}} \mathrm{...
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Consider a standard negative feedback configuration with $G(s)=\frac{1}{(s-2)(s-3)}$ and the controller $C(s)=K_P+\frac{K_I}{s}+K_D s$. The root-locus of $G(s) C(s)$ is p...
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How many five-digit numbers can be formed using the integers $3,4,5$ and $6$ with exactly one digit appearing twice?
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The phase margin of the transfer function $G(s)=\frac{2(1-s)}{(1+s)^{2}}$ is____________degrees. (rounded off to the nearest integer).
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A wire-wound 'resistive potentiometer type' angle sensor with $72$ turns is used in an application. The first turn of the potentiometer is connected to ground while its l...
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The two secondaries of a linear variable differential transformer (LVDT) showed a magnitude of $2 \mathrm{~V (RMS)}$ for zero displacement position of the core. It is not...
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Five measurements are made using a weighing machine, and the readings are $80 \mathrm{~kg}, 79 \mathrm{~kg}, 81 \mathrm{~kg}, 79 \mathrm{~kg}$ and $81 \mathrm{~kg}$. The ...
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Four strain gauges $\mathrm{R}_{\mathrm{A}}, \mathrm{R}_{\mathrm{B}}, \mathrm{R}_{\mathrm{C}}$ and $\mathrm{R}_{\mathrm{D}}$, each with nominal resistance $\mathrm{R}$, a...