Recent questions tagged gate2007-ec

In the $\text{AC}$ network shown in the figure, the phasor voltage $\text{V}_{\text{AB}}$ (in Volts) is$0$$5 \angle 30^{\circ}$$12.5 \angle 30^{\circ}$$17 \angle 30^{\cir...

A $p^{+} n$ junction has a built-in potential of $0.8 \mathrm{~V}$. The depletion layer width at a reverse bias of $1.2 \mathrm{~V}$ is $2 \; \mu \mathrm{m}$. For a rever...

Group I lists four types of $p-n$ junction diodes. Match each device in Group I with one of the options in Group II to indicate the bias condition of that device in its n...

The $\text{DC}$ current gain ($\beta$ ) of a $\text{BJT}$ is $50.$ Assuming that the emitter injection efficiency is $0.995$, the base transport factor is$0.980$$0.985$$0...

Group I lists four different semiconductor devices. Match each device in Group I with its characteristic property in Group II.$$\begin{array}{ll} \textbf{Group I} & \qqua...

For the $\text{Op-Amp}$ circuit shown in the figure, $V_{o}$ is$-2 \mathrm{~V}$$-1 \mathrm{~V}$$-0.5 \mathrm{~V}$$0.5 \mathrm{~V}$

For the $\text{BJT}$ circuit shown, assume that the $\beta$ of the transistor is very large and $V_{B E}=0.7 \mathrm{~V}$. The mode of operation of the $\text{BJT}$ iscut...

In the $\text{Op-Amp}$ circuit shown, assume that the diode current follows the equation $I=I_{S} \exp \left(V / V_{T}\right)$. For $V_{i}=2 \mathrm{~V}, V_{o}=V_{o 1},$ ...

In the CMOS inverter circuit shown, if the transconductance parameters of the NMOS and PMOS transistors are $k_{n}=k_{p}=\mu_{n} C_{o x} \dfrac{W_{n}}{L_{n}}=\mu_{p} C_{o...

For the Zener diode shown in the figure, the Zener voltage at knee is $7 \mathrm{~V}$, the knee current is negligible and the Zener dynamic resistance is $10 \; \Omega$. ...

The Boolean expression $Y=\overline{A} \;\overline{B}\; \overline{C} D+\overline{A} B C \overline{D}+A \overline{B}\; \overline{C} D+A B \overline{C}\; \overline{D}$ can ...

The circuit diagram of a standard $\text{TTL NOT}$ gate is shown in the figure. When $V_{i}=2.5 \mathrm{~V},$ the modes of operation of the transistors will be$\mathrm{Q}...

In the following circuit, $X$ is given by$X=A \overline{B}\; \overline{C}+\overline{A} B \overline{C}+\overline{A}\; \overline{B} C+A B C$$X=\overline{A} B C+A \overline{...

For the circuit shown, the counter state $\left(\mathrm{Q}_{1} \mathrm{Q}_{0}\right)$ follows the sequence$00,01,10,11,00 \ldots$$00,01,10,00,01 \ldots$$00,01,11,00,01 \l...

An $8255$ chip is interfaced to an $8085$ microprocessor system as an $\mathrm{I} / \mathrm{O}$ mapped $\mathrm{I} / \mathrm{O}$ as shown in the figure. The address lines...

The $\text{3-dB}$ bandwidth of the low-pass signal $e^{-t} u(t)$, where $u(t)$ is the unit step function, is given by$\frac{1}{2 \pi} \mathrm{Hz}$$\frac{1}{2 \pi} \sqrt{\...

A Hilbert transformer is anon-linear systemnon-causal systemtime-varying systemlow-pass system

The frequency response of a linear, time-invariant system is given by $H(f)=\dfrac{5}{1+j 10 \pi f}$. The step response of the system is$5\left(1-e^{-5 t}\right) u(t)$$5\...

A $5$-point sequence $x[n]$ is given as\[ x[-3]=1, \quad x[-2]=1, \quad x[-1]=0, \quad x[0]=5, \quad x =1 .\]Let $X\left(e^{j \omega}\right)$ denote the discrete-time Fou...

The $z$-transform $X[z]$ of a sequence $x[n]$ is given by $X[z]=\dfrac{0.5}{1-2 z^{-1}}$. It is given that the region of convergence of $X[z]$ includes the unit circle. T...

A control system with a $\text{PD}$ controller is shown in the figure. If the velocity error constant $K_{v}=1000$ and the damping ratio $\zeta=0.5$, then the values of $...

The transfer function of a plant is $T(s)=\dfrac{5}{(s+5)\left(s^{2}+s+1\right)}$. The second-order approximation of $T(s)$ using dominant pole concept is$\frac{1}{(s+5)(...

The open-loop transfer function of a plant is given as $G(s)=\dfrac{1}{s^{2}-1}$. If the plant is operated in a unity feedback configuration, then the lead compensator th...

A unity feedback control system has an open-loop transfer function $G(s)=\dfrac{K}{s\left(s^{2}+7 s+12\right)}$. The gain $K$ for which $s=-1+j 1$ will lie on the root lo...

The asymptotic Bode plot of a transfer function is as shown in the figure. The transfer function $G(s)$ corresponding to this Bode plot is$\frac{1}{(s+1)(s+20)}$$\frac{1}...

The state space representation of a separately excited $\text{DC}$ servo motor dynamics is given as\[\left[\begin{array}{l}\dfrac{d \omega}{d t} \\\dfrac{d i_{a}}{d t}\en...

The raised cosine pulse $p(t)$ is used for zero ISI in digital communications. The expression for $p(t)$ with unity roll-off factor is given by $p(t)=\dfrac{\sin 4 \pi W ...

During transmission over a certain binary communication channel, bit errors occur independently with probability $p$. The probability of AT MOST one bit in error in a blo...