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## GATE ECE 2014 Set 4

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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## GATE ECE

For a given sample-and-hold circuit, if the value of the hold capacitor is incre...
If the emitter resistance in a common-emitter voltage amplifier is not bypassed,...
Consider the common-collector amplifier in the figure (bias circuitry ensures th...
A BJT in common-base configuration is used to amplify a signal received by a $$5... For the common collector amplifier shown in the figure, the BJT has high$${V_{C...
The circuit shown represents <img class="question-image" src="https://gateclass....
An M - level PSK modulation scheme is used to transmit independent binary digits...
Consider the Z- channel given in the figure. The input is 0 or 1 with equal prob...
If calls arrive at a telephone exchange such that the time of arrival of any cal...
Consider a discrete-time channel Y = X + Z, where the additive noise Z is signal...
Consider a communication scheme where the binary valued signal X satisfies P{X =...
For the second order closed-loop system shown in the figure, the natural frequen...
Consider a transfer function $$G_p\left(s\right)\;=\;\frac{ps^2+3ps\;-2}{s^2+\le... The characteristic equation of a unity negative feedback system 1 + KG(s) = 0. T... In a Bode magnitude plot, which one of the following slopes would be exhibited a... The state transition matrix$$\phi \left( t \right)$$of a system$$$\left[ {\m... In the circuit shown in the figure, if C = 0, the expression for Y is <img class... A 16-bit ripple carry adder is realized using 16 identical full adders (FA) as s... An 8-to-1 multiplexer is used to implement a logical function Y as shown in the ... The output (Y) of the circuit shown in the figure is <img class="question-image"... If $$\overrightarrow{\mathrm E}=-\left(2\mathrm y^2\;-3\mathrm{yz}^2\right)\wide... The electric field (assumed to be one-dimensional) between two points A and B is... For an antenna radiating in free space, the electric field at a distance of 1 km... Match column A with column B. <p> <b> Column </b> <br> 1. Point electromagnetic... In the figure ln(ρ<sub>i</sub>) is plotted as a function of 1/T, where ρ<sub>i</... The cut-off wavelength (in µm) of light that can be used for intrinsic excitatio... Consider a silicon sample doped with N<sub>D</sub> = 1×10<sup>15</sup>/cm<sup>3<... An N-type semiconductor having uniform doping is biased as shown in the figure. ... Consider two BJT's biased at the same collector current with area A<sub>1</sub> ... The series$$\sum\limits_{n = 0}^\infty {{1 \over {n!}}\,} $$converges to For a right angled triangle, if the sum of the lengths of the hypotenuse and a s... The magnitude of the gradient for the function$$f\left( {x,y,z} \right) = {x^2}... The directional derivative of $$f\left( {x,y} \right) = {{xy} \over {\sqrt 2 }}... Given$$\,\,\overrightarrow F = z\widehat a{}_x + x\widehat a{}_y + y\widehat a... If calls arrive at a telephone exchange such that the time of arrival of any cal... Parcels from sender $$S$$ to receiver $$R$$ pass sequentially through two post -... Let $$X$$ be a zero mean unit variance Gaussian random variable. $$E\left[ {\lef... With initial values$$\,\,\,y\left( 0 \right) = y'\left( 0 \right) = 1,\,\,\,$$... If$$a$$and$$b$$are constants, the most general solution of the differential... The unilateral Laplace transform of$$f(t)$$is$${1 \over {{s^2} + s + 1}}$$. W... An 8085 microprocessor executes “STA 1234H” with starting address location 1FFEH... <p>The circuit shown in the figure represents a </p> <img alt="GATE 2014 Network... The magnitude of current (in mA) through the resistor R<sub>2</sub> in the figur... <p>In the circuit shown in the figure, the value of V<sub>0</sub>(t) (in Volts) ... For the two-port network shown in the figure, the impedance (Z) matrix (in Ω) is... The steady state output of the circuit shown in the figure is given by$$$y\lef...
The equivalent resistance in the infinite ladder network shown in the figure, is...
A Fourier transform pair is given by $${\left( {{2 \over 3}} \right)^n}$$ u $$\l... The unilateral Laplace transform of F(t) is$${1 \over {{s^2} + s + 1}}$$. Which... A stable linear time invariant (LTI) system has a transfer function H(s) =$${1 ...
A casual LTI system has zero initial conditions and impulse response h(t). Its i...
The N-point DFT X of a sequence x[n] 0 ≤ n ≤ N − 1 is given by <br> $$X\left[ ... The sequence x$$\left[ n \right]$$=$${0.5^n}$$u[n], where u$$\left[ n \righ...
A real - values signal x(t) limited to the frequency band \left| f \right| \le...

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