GATE ECE 2005
GATE ECE
The cascode amplifier is a multistage configuration of
View Question Given
$${r_d} = 20K\Omega ,\,\,{I_{DSS}}\, = \,10mA,\,\,{V_P} = - 8V$$
Zi and Zo of the circuit are respectively
View Question Given the ideal operational amplifier circuit shown in figure, indicate the correct
transfer characteristics assuming id
View Question The Op-Amp circuit shown in figure is a filter. The type of filter and its cut-off
frequency are respectively.
View Question The voltage e0 indicated in the figure has been measured by
an ideal voltmeter. Which of the following can be
calculated
View Question In an ideal differential amplifier shown in the figure, a large value of (RE).
View Question The effect of current shunt feedback in an amplifier is to
View Question The input resistance Ri of the amplifier shown in the figure is
View Question Given
$${r_d} = 20K\Omega ,\,\,{I_{DSS}}\, = \,10mA,\,\,{V_P} = - 8V$$
Transconductance in milli-Siemens (mS) and v
View Question Given
$${r_d} = 20K\Omega ,\,\,{I_{DSS}}\, = \,10mA,\,\,{V_P} = - 8V$$
ID and VDS under DC conditions are respectiv
View Question For an n-channel MOSFET and its transfer curve shown in the figure, the threshold voltage is
View Question For an npn transistor connected as shown in the figure, VBE = 0.7 volts. Given that reverse saturation current of the ju
View Question 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
View Question A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels
View Question A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels
View Question A signal as shown in figure is applied to a matched filter. Which of the following does represent the output of this mat
View Question Noise with uniform power spectral density of N0 W/Hz is passed through a filter H(ω ) = 2exp (-jωtd) followed by an ide
View Question An output of a communication channel is a random variable 'V' with the probability density function as shown in the figu
View Question A carrier is phase modulated (PM) with frequency deviation of 10 kHz by a single
tone frequency of 1 kHz. If the single
View Question 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
View Question Which of the following analog modulation scheme requires the minimum
transmitted power and minimum channel bandwidth?
View Question 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
View Question In the derivation of expression for peak percent overshoot,$$$M_p=exp\left(\frac{-\mathrm{πξ}}{\sqrt{1-\xi^2}}\right)\ti
View Question A ramp input applied to an unity feedback system results in 5% steady state
error. The type number and zero frequency ga
View Question Despite the presence of negative feedback, control systems still have problems of
instability because the
View Question A linear system is equivalently represented by two sets of state equations. $$\mathop x\limits^ \bullet = \,\,{\rm A}X
View Question A double integrator plant, $$G(s) = {K \over {{s^2}}},H(s) = 1$$ is to be compensated to achieve the damping ratio $$\
View Question The open loop transfer function of a unity feedback system is given by
g(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \ri
View Question The polar diagram of a conditionally stable system for open loop gain K=1 is
shown in figure. The open loop transfer fun
View Question The open loop transfer function of a unity feedback system is given by
G(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \r
View Question Which one of the following polar diagrams corresponds to a lag network?
View Question Both transistors T1 and T2 in figure have a threshold voltage of 1 Volt. The device parameters $${K_1}$$ and $${K_2}$$ o
View Question The transistors used in a portion of the TTL gate shown in figure have β=100. the base-emitter voltage of is 0.7V for a
View Question The present output Qn of an edge triggered JK flip-flop is logic 0. If J=1, then
Qn+1
View Question Decimal 43 in Hexadecimal and BCD number system is respectively
View Question The given figure shows a ripple counter using positive edge triggered flip-flops. If the
present state of counter is Q2
View Question The Boolean function f implemented in the figure using two input multiplexers is
View Question The Boolean expression for the truth table shown is
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{font-famil
View Question Many circles are drawn in a Smith chart used for transmission line calculations. The circles shown in Fig. represent
View Question Two identical and parallel dipole antennas are kept apart by a distance $$\lambda /4$$ of in the H-plane. They are fed w
View Question Which one of the following does represent the electric field lines for the $$T{E_{02}}$$ mode in the cross-section of a
View Question Refractive index of glass is 1.5. Find the wavelength of a beam of light with a frequency of $${10^{14}}$$ Hz in glass.
View Question Voltage standing wave pattern in a lossless transmission line with characteristic impedance 50 $$\Omega $$ and a resisti
View Question Characteristic impedance of a transmission line is 50$$\Omega $$. Input impedance of the open-circuited line is $${Z_{oc
View Question Voltage standing wave pattern in a lossless transmission line with characteristic impedance 50 $$\Omega $$ and a resisti
View Question The magnetic field intensity vector of a plane wave is given by
$$\overline H \left( {x,y,z,t
View Question A silicon sample 'A' is doped with 1018 atoms/cm3 of Boron. Another sample 'B' of
identical dimensions is doped with 101
View Question A Silicon PN junction diode under reverse bias has depletion region of width 10
µm. The relative permittivity of Silicon
View Question The Zener diode in the regulator circuit shown in figure has a Zener voltage of
5.8 Volts and a Zener knee current of 0.
View Question A MOS capacitor made using p-type substrate is in the accumulation mode. The
dominant charge in the channel is due to th
View Question The band gap of Silicon at room temperature is:
View Question A Silicon PN junction at a temperature of 20°C has a reverse saturation current of
10 pico-Amperes (pA). The reverse sat
View Question The primary reason for the widespread use of Silicon in semiconductor device
technology is
View Question The Dirac delta Function $$\delta \left( t \right)$$ is defined as
View Question In what range should $$Re(s)$$ remain so that the laplace transform of the function $${e^{\left( {a + 2} \right)t + 5}}$
View Question Match the following and choose the correct combination
Group $$-$$ $${\rm I}$$
$$E.$$ Newton $$-$$ Raphson method
$$F.$$
View Question A solution of the differential equation $${{{d^2}y} \over {d{x^2}}} - 5{{dy} \over {dx}} + 6y = 0\,$$ is given by
View Question The following differential equation has $$3{{{d^2}y} \over {d{t^2}}} + 4{\left( {{{dy} \over {dt}}} \right)^3} + {y^2} +
View Question A fair dice is rolled twice. The probability that an odd number will follow an even number is
View Question $$\nabla \times \left( {\nabla \times P} \right)\,\,$$ where $$P$$ is a vector is equal to
View Question The value of the integral $$1 = {1 \over {\sqrt {2\pi } }}\,\,\int\limits_0^\infty {{e^{ - {\raise0.5ex\hbox{$\scriptst
View Question If $$A = \left[ {\matrix{
2 & { - 0.1} \cr
0 & 3 \cr
} } \right]$$ and $${A^{ - 1}} = \left[ {\matri
View Question Given the matrix $$\left[ {\matrix{
{ - 4} & 2 \cr
4 & 3 \cr
} } \right],$$ the eigen vector is
View Question Given an orthogonal matrix $$A = \left[ {\matrix{
1 & 1 & 1 & 1 \cr
1 & 1 & { - 1} & { -
View Question Consider an 8085 microprocessor system
If in addition following code exists from 0109H onwards ORI 40H, ADD M What wi
View Question Consider an 8085 microprocessor system
The following program starts at locaton 0100H.
LXI SP, 00FF
LXI H, 0107
MVI
View Question 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
View Question The h parameters of the circuit shown in Fig. are
View Question The ABCD parameters of an ideal n:1 transformer shown in Fig. are $$\left[ {\matrix{
n & 0 \cr
0 & X \c
View Question For the circuit in figure, the phase current $${{\rm I}_1}$$ is
View Question In a series $$RLC$$ circuit $$R = 2\,k\Omega ,\,\,\,L = \,1H$$ and $$C = \,1/400\,\mu F.$$ The resonant frequency is
View Question If R1 = R2 = R4 = R and R3 = 1.1R in the bridge circuit shown in figure, then the reading in the ideal voltmeter connect
View Question A square pulse of 3 volts amplitude is applied to C-R circuit shown in figure. The
capacitor is initially uncharged. The
View Question The condition on R, L and C such that the step response y(t) in figure has no
oscillations, is
View Question For the circuit shown in figure, Thevenin’s voltage and Thevenin’s equivalent
resistance at terminals a – b is
View Question The maximum power that can be transferred to the load resistor RL from the voltage source in figure is
View Question Impedance Z as shown in the figure is:
View Question The output y(t) of a linear time invariant system is related to its input x(t) by the following equation: y(t) = 0.5 x
View Question Match the following and choose the correct combination.
GROUP 1
E- continuous and aperiodic signal
F- continuous
View Question The value of the integral $$\,I = {1 \over {\sqrt {2\,\,\pi } }}\int\limits_0^\infty {\exp \left( { - {{{x^2}} \over 8}
View Question The derivative of the symmetric function drawn in Fig .1 will look like
View Question The function x(t) is shown in Fig. Even and odd parts of a unit-step function u(t) are respectively.
View Question A signal x(n)$$ = \sin ({\omega _0}\,n + \phi )$$ is the input to a linear time-invariant system having a frequency resp
View Question For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f+2) is given by
View Question Which of the following can be impulse response of a causal system?
View Question The region of convergence of z-transform of the sequence $${\left( {{5 \over 6}} \right)^n}u(n) - {\left( {{6 \over 5}}
View Question A sequence x(n) has non-zero values as shown in figure. 1
The Fourier transform of y(2n) will be
View Question A sequence x(n) has non-zero values as shown in Fig.
The sequence
$$$y(n)=\left\{\begin{array}{l}x\left(\frac n2-1\ri
View Question Let x(n) = $${\left( {{1 \over 2}} \right)^n}$$ u(n), y(n) = $${x^2}$$, and Y ($$({e^{j\omega }})\,$$ be the Fourier tra
View Question In what range should Re(s) remain so that the Laplace transform of the function e(a+2)t+5 exists?
View Question Choose the function f (t );−$$\infty$$ < 1 < +$$\infty$$, for which a Fourier series cannot be
defined.
View Question