GATE ECE 2001

## GATE ECE

The current gain of a BJT is

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An emitter-follower amplifier is shown in the figure, Zi is the impedance looking into the base of the transistor and Z0

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An npn BJT has gm = 38 mA/V, $${C_\mu }\, = {10^{ - 14}}$$ F, $${C_\pi }\, = 4\, \times {10^{ - 13}}\,F$$ and DC current

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The Oscillator circuit shown in the figure is

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The ideal Op-Amp has the following characteristics.

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Consider the following two statements.
Statement 1: Astable Multivibrator can be used for generating Square Wave.
St

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The Inverting Op-Amp shown in the figure, has an Open-loop gain of 100. The closed loop gain $${{{V_o}} \over {{V_s}}}$

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In the figure assume the Op-Amps to be ideal. The output V0 of the circuit is

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An Amplifier using an Op-Amp with a Slew-Rate SR = V/$$\mu $$sec, has a gain of 40 dB. If this amplifier has to faith f

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Assume that the OP_AMP in the figure, ideal
(a) Obtain an expression for V0 in terms of Vs, R, and the reverse satura

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A band limited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples through

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During transmission over a communication channel, bit errors occur independently with probability 'p'. If a block of n b

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A video transmission system transmits 625 picture frames per second. Each frame consists of a $$400\,\, \times \,\,400$$

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The PDF of a Gaussian random variable X is given by $${p_x}(x) = \,{1 \over {3\sqrt {2\pi } }}\,\exp \,[ - \,{(x - 4)^2}

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A feedback control system is shown in figure
(a) Draw the signal-flow graph that represents the system.
(b) Find the to

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If the characteristic equation of a closed-loop system is s2 + 2s + 2 =0, then the
system is

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The equivalent of the block diagram in Figure is given as

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An electrical system and its signal-flow graph representations are shown in Figure
(a) and (b) respectively. The values

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The feedback control system in Figure is stable

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Consider the feedback control system shown in figure.
(a) Find the transfer function of the system and its characterist

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The root-locus diagram for a closed loop feedback system is shown in Figure. The system is overdamped.

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Given the $$G\left(s\right)H\left(s\right)=\frac K{s\left(s+1\right)\left(s+3\right)}$$, the point of intersection of th

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The Nyquist plot for the open-loop transfer function G(s) of a unity negative
feedback system is shown in figure. if G(s

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The open-loop DC gain of a unity negative feedback system with closed-loop
transfer function $${{s + 4} \over {{s^2} + 7

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For the feedback control system shown in the figure, the process transfer function is
Gp(s) = $${1 \over {s(s + 1)}},$$

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The 2’s complement representation of –17 is

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For the ring oscillator shown in the figure, the propagation delay of each inverter is 100 pico sec. What is the fundame

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In the TTL circuit in Figure 2.11, $${S_0}$$ to $${S_0}$$ are select lines and $${X_7}$$ and $${X_0}$$are input lines. $

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In the figure the LED

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For the digital block shown in Figure. 2(a), the output Y=f(S3,S2,S1,S0) where S3
is MSB and S0 is LSB. Y is given in te

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The digital block in the figure is realized using two positive edge triggered D flip-flops. Assume that for t < t0, Q

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A material has conductivity of 10-2 mho/m and a relative permittivity of 4. The
frequency at which the conduction curren

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A transmission line is distortionless if

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If a plane electromagnetic wave satisfies the equation $${{{\partial ^2}\,{E_x}} \over {\partial \,{z^2}}} = \,{c^2}{{{\

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A uniform plane electromagnetic wave incident normally on a plane surface of a dielectric material is reflected with a V

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The phase velocity of waves propagating in a hollow metal waveguide is

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The dominant mode in a rectangular waveguide is $$T{E_{10}}$$, because this mode has

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A medium has breakdown strength of $$16$$ KV/m r.m.s. Its relative permeability is $$1.0$$ and relative permittivity is

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In a uniform linear array, four isotropic radiating elements are spaced $$\lambda /4$$ apart. The progressive phase shif

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A medium wave radio transmitter operating at a wavelength of 492 m has a tower antenna of height 124m. What is the radia

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A rectangular hollow metal waveguide has dimensions a = 2.29 cm and b = 1.02 cm. Microwave power at 10 GHz is transmitte

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MOSFET can be used as a

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Solve the differential equation $${{{d^2}y} \over {d{x^2}}} + y = x\,\,$$ with the following conditions $$(i)$$ at $$x=

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An 8085 microprocessor based system uses a 4K × 8-bit RAM whose starting
address is AA00H. The address of the last byte

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The voltage e0 in Fig. is

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The voltage e0 in figure is

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In figure, the value of the load resistor R which maximizes the power
delivered to it is

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For the circuit shown in the figure, determine the phasors E2, E0, I and I1.

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The admittance parameter Y12 in the 2-port network in Figure is

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The circuit shown in Fig. is operating in steady-state with switch $${S_1}$$ closed. The switch $${S_1}$$ is opened at $

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When the angular frequency $$\omega $$ in Fig. is varied from $$0$$ to $$\infty $$ the locus of the current phasor $${{\

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If each branch of a Delta circuit has impedance $$\sqrt 3 \,Z$$, then each branch of the equivalent Wye circuit has impe

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The Z parameters $${Z_{11}}$$ and $${Z_{21}}$$ for the 2-port network in Fig. are

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The admittance parameters of a 2-port network shown in Fig. are given by $${Y_{11}} = \,2\,\,mho$$, $${Y_{12}}$$ = - 0.5

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The PSD and the power of a signal g(t) are, respectively, Sg($$\omega$$) and Pg. The PSD
and the power of the signal ag(

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If a signal f(t) has energy E, the energy of the signal f(2t) is equal to

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The region of convergence of the z- transform of a unit step function is

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The transfer function of a system is given by $$H\left( s \right) = {1 \over {{s^2}\left( {s - 2} \right)}}$$. The impul

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The impulse response function of four linear system S1, S2, S3, S4 are given respectively by
$${h_1}$$(t), = 1;
$${h

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The Fourier transform $$G(\omega )$$ of the signal g(t) in Fig.(1) is given as
$$G(\omega ) = {1 \over {{\omega ^2}}}({

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A band limited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples through

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A base band signal g(t) band limited to 100 Hz modulates a carrier of frequency $${{f_0}}$$ Hz. The modulated signal g(t

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The Nyquist sampling interval, for the signal Sinc(700t) + Sinc(500t) is

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Let $$\delta (t)$$ denote the delta function. The value of the the integral $$\int\limits_{ - \infty }^\infty {\delta (

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