GATE ECE 2005

## GATE ECE

The cascode amplifier is a multistage configuration of

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The circuit using a BJT with β = 50 and VBE = 0.7 V is shown in the figure. The base current IB and collector voltage V

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For an npn transistor connected as shown in the figure, VBE = 0.7 volts. Given that reverse saturation current of the ju

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Given
$${r_d} = 20K\Omega ,\,\,{I_{DSS}}\, = \,10mA,\,\,{V_P} = - 8V$$
Zi and Zo of the circuit are respectively

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Given
$${r_d} = 20K\Omega ,\,\,{I_{DSS}}\, = \,10mA,\,\,{V_P} = - 8V$$
Transconductance in milli-Siemens (mS) and v

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Given
$${r_d} = 20K\Omega ,\,\,{I_{DSS}}\, = \,10mA,\,\,{V_P} = - 8V$$
ID and VDS under DC conditions are respectiv

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For an n-channel MOSFET and its transfer curve shown in the figure, the threshold voltage is

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The input resistance Ri of the amplifier shown in the figure is

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The effect of current shunt feedback in an amplifier is to

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In an ideal differential amplifier shown in the figure, a large value of (RE).

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The voltage e0 indicated in the figure has been measured by
an ideal voltmeter. Which of the following can be
calculated

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The Op-Amp circuit shown in figure is a filter. The type of filter and its cut-off
frequency are respectively.

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Given the ideal operational amplifier circuit shown in figure, indicate the correct
transfer characteristics assuming id

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Which of the following analog modulation scheme requires the minimum
transmitted power and minimum channel bandwidth?

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A device with input x(t) and output y(t) is characterized by: y(t) = x2(t). An FM signal with frequency deviation of 90

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A carrier is phase modulated (PM) with frequency deviation of 10 kHz by a single
tone frequency of 1 kHz. If the single

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An output of a communication channel is a random variable 'V' with the probability density function as shown in the figu

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Noise with uniform power spectral density of N0 W/Hz is passed through a filter H(ω ) = 2exp (-jωtd) followed by an ide

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A signal as shown in figure is applied to a matched filter. Which of the following does represent the output of this mat

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A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels

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A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels

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Despite the presence of negative feedback, control systems still have problems of
instability because the

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A ramp input applied to an unity feedback system results in 5% steady state
error. The type number and zero frequency ga

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In the derivation of expression for peak percent overshoot,$$$M_p=exp\left(\frac{-\mathrm{πξ}}{\sqrt{1-\xi^2}}\right)\ti

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A unity feedback system is given as,$$$G\left(s\right)=\frac{K\left(1-s\right)}{s\left(s+3\right)}$$$ indicate the corre

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Which one of the following polar diagrams corresponds to a lag network?

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The open loop transfer function of a unity feedback system is given by
g(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \ri

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The polar diagram of a conditionally stable system for open loop gain K=1 is
shown in figure. The open loop transfer fun

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The open loop transfer function of a unity feedback system is given by
G(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \r

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A double integrator plant, $$G(s) = {K \over {{s^2}}},H(s) = 1$$ is to be compensated to achieve the damping ratio $$\

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A linear system is equivalently represented by two sets of state equations. $$\mathop x\limits^ \bullet = \,\,{\rm A}X

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Decimal 43 in Hexadecimal and BCD number system is respectively

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The Boolean expression for the truth table shown is
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{font-famil

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The Boolean function f implemented in the figure using two input multiplexers is

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The given figure shows a ripple counter using positive edge triggered flip-flops. If the
present state of counter is Q2

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The present output Qn of an edge triggered JK flip-flop is logic 0. If J=1, then
Qn+1

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Both transistors T1 and T2 in figure have a threshold voltage of 1 Volt. The device parameters $${K_1}$$ and $${K_2}$$ o

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The transistors used in a portion of the TTL gate shown in figure have β=100. the base-emitter voltage of is 0.7V for a

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Many circles are drawn in a Smith chart used for transmission line calculations. The circles shown in Fig. represent

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The magnetic field intensity vector of a plane wave is given by
$$\overline H \left( {x,y,z,t

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Characteristic impedance of a transmission line is 50$$\Omega $$. Input impedance of the open-circuited line is $${Z_{oc

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Voltage standing wave pattern in a lossless transmission line with characteristic impedance 50 $$\Omega $$ and a resisti

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Voltage standing wave pattern in a lossless transmission line with characteristic impedance 50 $$\Omega $$ and a resisti

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Refractive index of glass is 1.5. Find the wavelength of a beam of light with a frequency of $${10^{14}}$$ Hz in glass.

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Which one of the following does represent the electric field lines for the $$T{E_{02}}$$ mode in the cross-section of a

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Two identical and parallel dipole antennas are kept apart by a distance $$\lambda /4$$ of in the H-plane. They are fed w

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The primary reason for the widespread use of Silicon in semiconductor device
technology is

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A Silicon PN junction at a temperature of 20°C has a reverse saturation current of
10 pico-Amperes (pA). The reverse sat

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The band gap of Silicon at room temperature is:

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A silicon sample 'A' is doped with 1018 atoms/cm3 of Boron. Another sample 'B' of
identical dimensions is doped with 101

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The Zener diode in the regulator circuit shown in figure has a Zener voltage of
5.8 Volts and a Zener knee current of 0.

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A Silicon PN junction diode under reverse bias has depletion region of width 10
µm. The relative permittivity of Silicon

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A MOS capacitor made using p-type substrate is in the accumulation mode. The
dominant charge in the channel is due to th

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Given the matrix $$\left[ {\matrix{
{ - 4} & 2 \cr
4 & 3 \cr
} } \right],$$ the eigen vector is

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Given an orthogonal matrix $$A = \left[ {\matrix{
1 & 1 & 1 & 1 \cr
1 & 1 & { - 1} & { -

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If $$A = \left[ {\matrix{
2 & { - 0.1} \cr
0 & 3 \cr
} } \right]$$ and $${A^{ - 1}} = \left[ {\matri

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The value of the integral $$1 = {1 \over {\sqrt {2\pi } }}\,\,\int\limits_0^\infty {{e^{ - {\raise0.5ex\hbox{$\scriptst

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$$\nabla \times \left( {\nabla \times P} \right)\,\,$$ where $$P$$ is a vector is equal to

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A fair dice is rolled twice. The probability that an odd number will follow an even number is

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A solution of the differential equation $${{{d^2}y} \over {d{x^2}}} - 5{{dy} \over {dx}} + 6y = 0\,$$ is given by

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The following differential equation has $$3{{{d^2}y} \over {d{t^2}}} + 4{\left( {{{dy} \over {dt}}} \right)^3} + {y^2} +

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Match the following and choose the correct combination
Group $$-$$ $${\rm I}$$
$$E.$$ Newton $$-$$ Raphson method
$$F.$$

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In what range should $$Re(s)$$ remain so that the laplace transform of the function $${e^{\left( {a + 2} \right)t + 5}}$

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The Dirac delta Function $$\delta \left( t \right)$$ is defined as

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What memory address range is NOT represented by chip 1 and chip 2 in
figure? A0 to A15 in this figure are the address li

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Consider an 8085 microprocessor system
The following program starts at locaton 0100H.
LXI SP, 00FF
LXI H, 0107
MVI

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Consider an 8085 microprocessor system
If in addition following code exists from 0109H onwards ORI 40H, ADD M What wi

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Impedance Z as shown in the figure is:

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The maximum power that can be transferred to the load resistor RL from the voltage source in figure is

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For the circuit shown in figure, Thevenin’s voltage and Thevenin’s equivalent
resistance at terminals a – b is

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The condition on R, L and C such that the step response y(t) in figure has no
oscillations, is

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A square pulse of 3 volts amplitude is applied to C-R circuit shown in figure. The
capacitor is initially uncharged. The

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If R1 = R2 = R4 = R and R3 = 1.1R in the bridge circuit shown in figure, then the reading in the ideal voltmeter connect

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In a series $$RLC$$ circuit $$R = 2\,k\Omega ,\,\,\,L = \,1H$$ and $$C = \,1/400\,\mu F.$$ The resonant frequency is

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For the circuit in figure, the phase current $${{\rm I}_1}$$ is

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The ABCD parameters of an ideal n:1 transformer shown in Fig. are $$\left[ {\matrix{
n & 0 \cr
0 & X \c

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The h parameters of the circuit shown in Fig. are

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Choose the function f (t );−$$\infty$$ < 1 < +$$\infty$$, for which a Fourier series cannot be
defined.

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Let x(n) = $${\left( {{1 \over 2}} \right)^n}$$ u(n), y(n) = $${x^2}$$, and Y ($$({e^{j\omega }})\,$$ be the Fourier tra

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In what range should Re(s) remain so that the Laplace transform of the function e(a+2)t+5 exists?

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A sequence x(n) has non-zero values as shown in Fig.
The sequence
$$$y(n)=\left\{\begin{array}{l}x\left(\frac n2-1\ri

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A sequence x(n) has non-zero values as shown in figure. 1
The Fourier transform of y(2n) will be

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The region of convergence of z-transform of the sequence $${\left( {{5 \over 6}} \right)^n}u(n) - {\left( {{6 \over 5}}

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Which of the following can be impulse response of a causal system?

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The output y(t) of a linear time invariant system is related to its input x(t) by the following equation: y(t) = 0.5 x

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For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f+2) is given by

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A signal x(n)$$ = \sin ({\omega _0}\,n + \phi )$$ is the input to a linear time-invariant system having a frequency resp

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The function x(t) is shown in Fig. Even and odd parts of a unit-step function u(t) are respectively.

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The derivative of the symmetric function drawn in Fig .1 will look like

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The value of the integral $$\,I = {1 \over {\sqrt {2\,\,\pi } }}\int\limits_0^\infty {\exp \left( { - {{{x^2}} \over 8}

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Match the following and choose the correct combination.
GROUP 1
E- continuous and aperiodic signal
F- continuous

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