GATE ECE 2003

## GATE ECE

The circuit shown in figure is best described as a

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In the amplifier circuit shown in the figure, the values of R1 and R2 are such that the transistor is operating at VCE =

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Three identical amplifiers with each one having a voltage gain of 50, input
Resistance of 1 KΩ and output resistance of

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Generally, the gain of a transistor Amplifier falls at high frequency due to the

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An ideal sawtooth voltage waveform of a frequency 500 Hz and Amplitude 3 V is generated by charging a capacitor of 2 $$\

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The action of a JFET in its equivalent circuit can be best represented as a

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The oscillator circuit shown in the figure has an ideal inverting Amplifier. It's frequency of Oscillation (in Hz) is

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If the differential voltage gain and the common mode voltage gain of a differential Amplifier are 48 dB and 2 dB respect

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An amplifier without feedback has a voltage gain of 50, input Resistance of 1 k$$\Omega $$ and output Resistance of 2.5

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The output voltage of the Regulated power supply shown in the figure is

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If the Op-Amp in the figure is ideal, the output voltage Vout will equal to

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If the input to the ideal comparator shown in figure is sinusoidal signal of 8V
(peak to peak) without any DC component,

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A DSB-SC signal is to be generated with a carrier frequency fc = 1MHz using a
nonlinear device with the input-output cha

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Let $$m\left(t\right)\;=\cos\left[\left(4\mathrm\pi\times10^3\right)t\right]$$ be the message signal and
$$c\left(t\righ

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Let $$m\left(t\right)\;=\cos\left[\left(4\mathrm\pi\times10^3\right)t\right]$$ be the message signal and
$$c\left(t\righ

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The input to a linear delta modulator having a step size $$\Delta $$ = 0.628 is a sine wave with frequency fm and peak a

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If S represents the carrier synchronization at the receiver and $$\rho $$ represents the bandwidth efficiency, then the

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A signal is sampled at 8 KHz and is quantized using 8-bit uniform quantizer. Assuming $$SN{R_q}$$ for a sinusoidal signa

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If Eb, the energy per bit of a binary digital signal, is 10-5 watt-sec and the one-sided power spectral density of the w

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A sinusoidal signal with peak-to-peak amplitude of 1.536V is quantized into 128 levels using a mid-rise uniform quantize

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Let x(t) be the input to a linear, time-invariant system. The required output is
4x(t-2). The transfer function of the s

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The signal flow graph of a system is shown in figure. The transfer function $$\frac{C(s)}{R(s)}$$ of the system is

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A second-order system has the transfer function $$\frac{C\left(s\right)}{R\left(s\right)}=\frac4{s^2+4s+4}$$. With r(t)

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The open-loop transfer function of a unity feedback system is $$$G\left(s\right)=\frac k{s\left(s^2+s+2\right)\left(s+3\

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The root locus of the system $$$G\left(s\right)H\left(s\right)=\frac K{s\left(s+2\right)\left(s+3\right)}$$$ has the bre

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Figure shows the Nyquist plot of the open-loop transfer function G(s)H(s) of a
system. If G(s)H(s) has one right hand po

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The gain margin for the system with open-loop transfer function G(s)H(s)=$${{2(1 + s)} \over {{s^2}}}$$ is

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The approximate Bode magnitude plot of a minimum-phase system is shown in
figure. The transfer function of the system is

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The gain margin and the phase margin of a feedback system with
G(s)H(s)=$${s \over {{{\left( {s + 100} \right)}^3}}}$$

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A PD controller is used to compensate a system. Compared to the
uncompensated system, the compensated system has

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The zero, input response of a system given by the state space equation
$$$\left[ {{{\mathop {{x_1}}\limits^ \bullet } \

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The number of distinct Boolean expressions of 4 variables is

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If the functions W, X, Y and Z are as follows
W= R+$$\overline P Q + \overline R $$ S
X = $$X = PQ\overline R \,\overl

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The circuit shown in figure converts

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The circuit shown in figure has 4 boxes each described by inputs P, Q, R and outputs Y, Z with
Y = $$\,P \oplus \,Q\, \

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With out any additional circuitry, an 8:1 MUX can be used to obtain

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A 0 to 6 counter consist of 3 flip-flops and a combination circuit of 2 input gate(s). The combination circuit consists

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In the circuit shown in Figure, A is a parallel in, parallel-out 4-bit register, which loads at the rising edge of the c

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A 4 bit ripple counter and a 4 bit synchronous counter are made using flip-flops having a propagation delay of 10 ns eac

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The output of the 74 series of TTL gates is taken from a BJT in

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The DTL, TTL, ECL and CMOS families of digital ICs are compared in the following 4 columns

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The circuit shown in figure is a 4-bit DAC
The input bits 0 and 1 are represented by 0 and 5 V respectively. The OP-

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The unit of $$\nabla\times\mathrm H$$ is

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If the electric field intensity is given by $$\mathrm E=\left(\mathrm x{\widehat{\mathrm u}}_\mathrm x\;+\mathrm y{\wide

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The depth of penetration of electromagnetic wave in a medium having conductivity $$\sigma $$ at a frequency of 1 KHz is

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A short-circuited stub is shunt connected to a transmission line as shown in Fig. If $${Z_0} = 50\,\,\Omega $$, the admi

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A uniform plane wave traveling in air is incident on the plane boundary between air and another dielectric medium with $

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Medium $$1$$ has the electrical permittivity $${\varepsilon _1} = 1.5\,\,{\varepsilon _0}\,\,\,F/m$$ and occupies the re

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If the electric field intensity associated with a uniform plane electromagnetic wave traveling in a perfect dielectric m

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A rectangular metal wave guide filled with a dielectric material of relative permittivity $${\varepsilon _r} = \,4$$ has

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Two identical antennas are placed in the $$\theta = \pi /2$$
plane as shown in figure. The
elements have equal amplitud

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n-type silicon is obtained by doping silicon with

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The electron concentration in a sample of uniformly doped n-type silicon at 300oK varies linearly from $$10^{17}/cm^3$$

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An n-type silicon bar 0.1 cm long and $$100\;\mu m^2$$ in cross-sectional area has a majority
carrier concentration of $

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At 300 K, for a diode current of 1 mA, a certain germanium diode requires a
forward bias of 0.1435 V. Where as a certain

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Choose proper substitutes for X and Y to make the following statement correct
Tunnel diode and Avalanche photodiode are

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When the gate-to-source voltage (VGS) of a MOSFET with threshold voltage of
400 mV, working in saturation is 900 mV, the

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For an n-channel enhancement type MOSFET, if the source is connected at a
higher potential than that of the bulk (i.e. V

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If P is Passivation, Q is n-well implant, R is metallization and S is source/drain
diffusion, then the order in which th

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The laplace transform of $$i(t)$$ is given by
$$I\left( s \right) = {2 \over {s\left( {1 + s} \right)}}$$ As $$t \to \i

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In an 8085 microprocessor, the instruction CMP B has been executed while the
content of the accumulator is less than tha

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Twelve 1Ω resistances are used as edges to form a cube. The resistance between
two diagonally opposite corners of the cu

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A source of angular frequency 1rad/sec has source impedance consisting of $$1\Omega$$ resistance in series with 1H induc

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The circuit is given in figure.Assume that the
switch S is in position 1 for a long time and thrown to position 2 at t =

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The circuit is given in figure.Assume that the
switch S is in position 1 for a long time and thrown to position 2 at t =

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A series RLC circuit has a resonance frequency of 1 kHz and a quality factor Q =
100. If each R, L and C is doubled from

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The current flowing through the resistance R in the circuit in figure has the form
P cos 4t, where P is

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The impedance parameters Z11 and Z12 of the two-port network in figure are

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The minimum number of equations required to analyze the circuit shown in Fig.

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An input voltage $$v(t)$$ $$ = 10\sqrt 2 \,\,\cos \,\,\left( {t + {{10}^0}} \right) + 10\sqrt 5 \,\,\cos \left( {2t + {{

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The driving-point impedance Z(s) of a network has the pole-zero locations as shown in figure. If Z(0) = 3, then Z(s) is

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Find the Y-parameters (short ciruit admittance parameters) for the network shown in figure.

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The Laplace transform of i(t) tends to
$$I\left( s \right)\,\, = \,{2 \over {s\left( {1 + s} \right)}}$$
As $$t \to \i

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Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t - 2). The transfer function of t

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A sequence $$x\left( n \right)$$ with the $$z$$-transform $$X\left( z \right)$$ $$ = {z^4} + {z^2} - 2z + 2 - 3{z^{ - 4}

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Let P be linearity, Q be time-invariance, R be causality and S be stability.
A discrete time system has the input-outpu

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The system under consideration is an RC low -pass filter (RC-LPF) with R = 1.0 $$k\Omega $$ and C = 1.0 $$\mu F$$.
Let

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The system under consideration is an RC low -pass filter (RC-LPF) with R = 1.0 $$k\Omega $$ and C = 1.0 $$\mu F$$.
Let

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Let x(t) = $$\,2\cos (800\pi t) + \cos (1400\pi t)$$. x(t) is sampled with the rectangular pulse train shown in figure.

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