GATE ECE 2002

## GATE ECE

Three identical RC-Coupled transistor amplifiers are cascaded. If each of the
amplifiers has a frequency response as sho

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Consider the following statements in connection with the CMOS inverter in the Figure.
Where both the MOSFETS are of enha

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The circuit in the figure employs positive Feedback and is intended to generate sinusoidal oscillation. If at a frequenc

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In a negative feedback amplifier using voltage - Series (i.e., voltage - sampling, series mixing) feedback

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A 1 MHz sinusoidal carrier is amplitude modulated by a symmetrical square wave
of period 100 µsec. Which of the followin

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For a bit-rate of 8 kbps, the best possible values of the transmitted frequencies in a coherent binary FSK system are

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If the variance $$\sigma _d^2$$ of d(n) = x(n - 1) is one-tenth the variance $$\sigma _x^2$$ of a stationary zero-mean d

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The transfer function of a system is $$G\left(s\right)\;=\;\frac{100}{\left(s\;+\;1\right)\left(s\;+\;100\right)}$$.For

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The system shown in Figure remains stable when

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The characteristic polynomial of a system is q(s) = 2s5 + s4 + 4s3 + 2s2 + 2s + 1.
The system is

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Which of the following points is NOT on the root locus of a system with the open
loop transfer function
$$$G\left(s\righ

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Consider a system with the transfer function
$$$G\left(s\right)=\frac{s+6}{Ks^2+s+6}$$$
Its damping ratio
will be 0.5 wh

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The phase margin of a system with the open-loop transfer function
G(s)H(s)=$${{(1 - s)} \over {(1 + s)(2 + s)}}$$ is?

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The system with the open loop transfer function G(s)H(s)=$${1 \over {s\left( {{s^2} + s + 1} \right)}},$$ has a gain mar

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The Nyquist plot of an all-pole second order open-loop system is shown in Figure.
Obtain the transfer function of the s

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A unity feedback system has the plant transfer function
Gp(s)=$${1 \over {\left( {s + 1} \right)\left( {2s + 1} \right)}

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The transfer function Y(s)/U(s) of a system described by the state equations
$$\mathop x\limits^ \bullet $$(t) = -2x(t

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The block diagram of a linear time invariant system is given in Figure is
(a) Write down the state variable equations

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4-bit 2’s complement representation of a decimal number is 1000. The number is

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If the input to the digital circuit (in the figure) consisting of a cascade of 20 XOR-gates is X then the output Y is eq

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The gates G1 and G2 in figure have propagation delays of 10nsec and 20nsec respectively. If the input Vi makes an abrupt

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The inputs to a digital circuit shown in Figure 9(a) are the external signals A, B and C.
( $$\overline A \,\overline

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If the input X$$_3$$, X$$_2$$, X$$_1$$, X$$_0$$ to the ROM in figure 2.12 are 8-4-2-1 BCD numbers, then the outpus are

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The number of comparators required in a 3-bit comparator type ADC is

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It is required to design a binary mod-5 synchronus counter using AB flip-flops such that the output Q2Q1Q0 changes as $$

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The VSWR can have any value between

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In an impedance Smith chart, a clockwise movement along a constant resistance circle gives rise to

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A plane wave is characterized by
$$$\overrightarrow E = \left( {0.5\mathop x\limits^ \cap + \mathop y\limits^ \cap

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Distilled water at $${25^ \circ }C$$ is characterized by $$\sigma = 1.7 \times {10^{ - 4}}$$ mho/m and $$ \in = 78{ \i

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The phase velocity for the $$T{E_{10}}$$ mode in an air-filled rectangular waveguide is

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A person with a receiver is 5 Km away from the transmitter. What is the distance that this person must move further to d

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Consider a linear array of two half - wave dipoles A and B as shown in Fig. The dipoles are $${\lambda \over 4}$$ apart

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The line-of-sight communication requires the transmit and receive antennas to face each other. If the transmit antenna i

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Consider a parallel plate waveguide with plate separation d as shown in Fig. The electric and magnetic fields for the TE

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Consider a parallel plate waveguide with plate separation d as shown in Fig. The electric and magnetic fields for the TE

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Consider a parallel plate waveguide with plate separation d as shown in Fig. The electric and magnetic fields for the TE

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The band gap of silicon at 300 K is

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In the figure, a silicon diode is carrying a constant current of 1 mA. When the
temperature of the diode is 20°C, VD is

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The intrinsic carrier concentration of silicon sample at 300oK is $$1.5\times10^{16}/m^3$$. If after doping, the number

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If the transistor in Figure is in saturation, then

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The contents of Register (B) and Accumulator (A) of 8085 microprocessor are 49H and 3AH respectively. The contents of A

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Consider the following assembly language program.
The execution of the above program in an 8085 microprocessor will re

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The differential equation for the current i(t) in the circuit of Fig. is

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The dependent current source shown in Figure

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In the network of Figure, the maximum power is delivered to RL if its value is

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In figure, the switch was closed for a long time before opening at t = 0. the
voltage Vx at t = 0+ is

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If the 3-phase balanced source in Fig. delivers 1500 W at a leading power
factor of 0.844, then the value of ZL (in ohm)

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The switch in Fig. has been in position $$1$$ for a long time and is then moved to position $$2$$ at $$t\, = \,0$$.
(a)

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For network shown in Fig. $$R\, = \,1\,k\Omega $$
$${L_1} = 2\,H,\,{L_2} = 5\,H,\,{L_3}\, = \,1H,{L_4} = 4H\,\,\,$$ and

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Consider the network in Fig.
(a) Find its short-circuit admittance parameters.
(b) Find the open-ciruit impedance $${Z

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Which of the following cannot be the Fourier series expansion of a periodic
signal?

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The Fourier transform F $$\left\{ {{e^{ - t}}u(t)} \right\}$$ is equal to $${1 \over {1 + j2\pi f}}$$. Therefore, $$F\le

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The Laplace transform of a continuous - time signal x(t) is $$X\left( s \right) = {{5 - s} \over {{s^2} - s - 2}}$$. If

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Convolution of x(t + 5) with impulse function $$\delta \left( {t\, - \,7} \right)$$ is equal to

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A deterministic signal x(t) = $$\cos (2\pi t)$$ is passed through a differentiator as shown in
Figure.
(a) Determine th

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If the impulse response of a discrete-time system is $$h\left[ n \right]\, = \, - {5^n}\,\,u\left[ { - n\, - 1} \right],

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Consider a sampled signal $$y\left( t \right) = 5 \times {10^{ - 6}}\,x\left( t \right)\,\,\sum\limits_{n = - \infty }^

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A linear phase channel with phase delay $${\tau _p}$$ and group delay $${\tau _g}$$ must have

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In Fig. m(t) = $$ = {{2\sin 2\pi t} \over t}$$, $$s(t) = \cos \,200\pi t\,\,andn(t) = {{\sin 199\pi t} \over t}$$.
The

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A signal x(t) = 100 cos $$(24\pi \times {10^3})$$ t is ideally sampled with a sampling period of 50 $$\mu \sec $$ and t

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