GATE ECE 2014 Set 4
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## GATE ECE

For a given sample-and-hold circuit, if the value of the hold capacitor is increased, then
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If the emitter resistance in a common-emitter voltage amplifier is not bypassed, it will
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Consider the common-collector amplifier in the figure (bias circuitry ensures that the transistor operates in forward ac
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A BJT in common-base configuration is used to amplify a signal received by a $$50\,\Omega$$ antena. Assume kT/q = 25 m
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For the common collector amplifier shown in the figure, the BJT has high $${V_{CE\left( {sat} \right)}},$$ and $${V_{BE View Question The circuit shown represents View Question An M - level PSK modulation scheme is used to transmit independent binary digits over a band-pass channel with bandwidth View Question Consider the Z- channel given in the figure. The input is 0 or 1 with equal probability. If the output is 0, the probab View Question If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival View Question Consider a discrete-time channel Y = X + Z, where the additive noise Z is signal- dependent. In particular, given the tr View Question Consider a communication scheme where the binary valued signal X satisfies P{X = + 1} = 0.75 and P {X = - 1} = 0.25. The View Question For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is View Question Consider a transfer function$$G_p\left(s\right)\;=\;\frac{ps^2+3ps\;-2}{s^2+\left(3+p\right)s\;+\left(2-p\right)}$$wit View Question The characteristic equation of a unity negative feedback system 1 + KG(s) = 0. The open loop transfer function G(s) has View Question In a Bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a 4th order all-po View Question The state transition matrix$$\phi \left( t \right)$$of a system$$$\left[ {\matrix{ {\mathop {{x_1}}\limits^ \bull View Question In the circuit shown in the figure, if C = 0, the expression for Y is View Question A 16-bit ripple carry adder is realized using 16 identical full adders (FA) as shown in the figure. The carry-propagatio View Question An 8-to-1 multiplexer is used to implement a logical function Y as shown in the figure. The output Y is given by View Question The output (Y) of the circuit shown in the figure is View Question If $$\overrightarrow{\mathrm E}=-\left(2\mathrm y^2\;-3\mathrm{yz}^2\right)\widehat{\mathrm x}\;-\left(6\mathrm{xy}^2-3\ View Question The electric field (assumed to be one-dimensional) between two points A and B is shown. Let$$\psi_A$$and$$\psi_B$$be View Question For an antenna radiating in free space, the electric field at a distance of 1 km is found to be 12 m V/m. Given that int View Question Match column A with column B. Column 1. Point electromagnetic source 2. Dish antenna 3. Yagi-Uda antenna Colum View Question In the figure ln(ρi) is plotted as a function of 1/T, where ρi the intrinsic resistivity of silicon, T is is the tempera View Question The cut-off wavelength (in µm) of light that can be used for intrinsic excitation of a semiconductor material of bandgap View Question Consider a silicon sample doped with ND = 1×1015/cm3 donor atoms. Assume that the intrinsic carrier concentration ni = 1 View Question An N-type semiconductor having uniform doping is biased as shown in the figure. If EC is the lowest energy level of th View Question Consider two BJT's biased at the same collector current with area A1 = 0.2 μm × 0.2 μm and A2 = 300 μm × 300 μm. Assumin View Question The series$$\sum\limits_{n = 0}^\infty {{1 \over {n!}}\,} $$converges to View Question For a right angled triangle, if the sum of the lengths of the hypotenuse and a side is kept constant, in order to have m View Question The magnitude of the gradient for the function$$f\left( {x,y,z} \right) = {x^2} + 3{y^2} + {z^3}\,\,$$at the point$$( View Question The directional derivative of $$f\left( {x,y} \right) = {{xy} \over {\sqrt 2 }}\left( {x + y} \right)$$ at $$(1, 1)$$ View Question Given $$\,\,\overrightarrow F = z\widehat a{}_x + x\widehat a{}_y + y\widehat a{}_z.\,\,$$ If $$S$$ represents the po View Question If calls arrive at a telephone exchange such that the time of arrival of any call is independent of the time of arrival View Question Parcels from sender $$S$$ to receiver $$R$$ pass sequentially through two post - offices. Each post - office has a proba View Question Let $$X$$ be a zero mean unit variance Gaussian random variable. $$E\left[ {\left| X \right|} \right]$$ is equal to ____ View Question With initial values $$\,\,\,y\left( 0 \right) = y'\left( 0 \right) = 1,\,\,\,$$ the solution of the differential equati View Question If $$a$$ and $$b$$ are constants, the most general solution of the differential equation $$\,{{{d^2}x} \over {d{t^2}}} View Question The unilateral Laplace transform of$$f(t)$$is$${1 \over {{s^2} + s + 1}}$$. Which one of the following is the unilate View Question An 8085 microprocessor executes “STA 1234H” with starting address location 1FFEH (STA copies the contents of the Accumu View Question The circuit shown in the figure represents a View Question The magnitude of current (in mA) through the resistor R2 in the figure shown is _____. View Question In the circuit shown in the figure, the value of V0(t) (in Volts) for$$t\rightarrow\infty$$is ______. View Question For the two-port network shown in the figure, the impedance (Z) matrix (in Ω) is View Question The steady state output of the circuit shown in the figure is given by$$$y\left( t \right) = {\rm A}\left( \omega \ri
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The equivalent resistance in the infinite ladder network shown in the figure, is$${R_e}$$ The value of $${R_e}/R$$ is
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A Fourier transform pair is given by $${\left( {{2 \over 3}} \right)^n}$$ u $$\left[ {n + 3} \right]\,\mathop \Leftrigh View Question The unilateral Laplace transform of F(t) is$${1 \over {{s^2} + s + 1}}$$. Which one of the following is the unilateral View Question A stable linear time invariant (LTI) system has a transfer function H(s) =$${1 \over {{s^2} + s - 6}}$$. To make this s View Question A casual LTI system has zero initial conditions and impulse response h(t). Its input x(t) and output y(t) are related th View Question The N-point DFT X of a sequence x[n] 0 ≤ n ≤ N − 1 is given by$$X\left[ k \right] = {1 \over {\sqrt N }}\,\,\sum\lim
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The sequence x $$\left[ n \right]$$ = $${0.5^n}$$ u[n], where u$$\left[ n \right]$$ is the unit step sequence, is conv
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A real - values signal x(t) limited to the frequency band $$\left| f \right| \le {W \over 2}$$ is passed through a linea
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