GATE ECE 2002

## GATE ECE

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

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

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

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

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

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

View Question 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

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

View Question The system shown in Figure remains stable when

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

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

View Question 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

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

View Question 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

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

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

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

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

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

View Question 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

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

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

View Question 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

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

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

View Question The VSWR can have any value between

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

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

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

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

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

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

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

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

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

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

View Question The band gap of silicon at 300 K is

View Question 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

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

View Question If the transistor in Figure is in saturation, then

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

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

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

View Question The dependent current source shown in Figure

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

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

View Question 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)

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

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

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

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

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

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

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

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

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

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

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

View Question 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

View Question 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

View Question