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## GATE ECE 1998

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

For full wave rectification, a four diode bridge rectifier is claimed to have th...
The emitter coupled pair of BJT’s gives a linear transfer relation between the d...
From a measurement of the rise time of the output pulse of an amplifier whose in...
The circuit of Fig. is an example of feedback of the following type <img alt="ga...
In a series regulated power supply circuit, the voltage gain A<sub>v</sub> of th...
In the circuit of fig. Determine the resistance R<sub>o</sub> seen by the output...
The $${f_T}$$ of a BJT is related to its $${g_{m,}}\,\,{C_\pi }$$ and $${C_\mu }... In the MOSFET amplifier of the figure the signal output V<sub>1</sub> and V<sub>... One input terminal of high gain comparator circuit is connected to ground and a ... Find the value of$${R^1}$$in the circuit of fig. For generating sinusoidal Osc... In a differential Amplifier, CMRR can be improved by using an increased In a shunt-shunt negative feedback Amplifier, as compared to the basic Amplifier... Implement a monostable multivibrator using the timer circuit shown, in Fig. Also... The image channel selectivity of super heterodyne receiver depends upon A DSB-SC signal is generated using the carrier$$\cos\left(\omega_ct\;+\;\theta\...
Compression in PCM refers to relative compression of
In a PCM system with uniform quantization, increasing the number of bits from 8 ...
For a given data rate, the bandwidth B<sub>p</sub> of a BPSK signal and the band...
The amplitude spectrum of a Gaussian pulse is
The probability density function of the envelope of narrow band Gaussian noise ...
The ACF of a rectangular pulse of duration T is
If $$F\left(s\right)\;=\;\frac\omega{s^2\;+\;\omega^2}$$, then the value of $$\u... Consider a unity feedback control system with open-loop transfer function$$G\le...
The unit impulse response of a linear time invariant system is the unit step fun...
The number of roots of $$s^3\;+\;5s^2\;+\;7s\;+\;3\;=\;0$$ in the left half of t...
The transfer function of a tachometer is of the form
Draw a signal flow graph for the following set of algebraic equations: $$\begin... Consider a feedback control system with loop transfer function$$$G\left(s\right... The open loop transfer function of a unity feedback open-loop system is $$\frac{... Consider the system shown in Fig. Determine the value of 'a' such that the dam... The characteristic equation of a feedback control system is$$$s^4+20s^3+15s^2+2...
In the Bode-plot of a unity feedback control system, the value of phase of G($$j... The Nyquist plot of a loop transfer function G$$(j\omega )$$H$$(j\omega )$$, of... The loop transfer function of a single loop control system is given by$$G(s)H(s...
The transfer function of a phase lead controller is $${\textstyle{{1 + 3Ts} \ove... An equivalent 2’s complement representation of the 2’s complement number 1101 is... Two 2' s complement numbers having sign bits x and y added and the sign bit of ... The K-map for a Boolean function is shown in figure. The number of essential pri... Figure shows a mod-K counter, Here K is equal to <img class="question-image" sr... The noise margin of a TTL gate is about The threshold voltage for each transistor in Fig.2.5, is 2V. For this circuit to... In figure, A = 1 and B = 1. The input B is now replaced by a sequence 101010 ___... The advantage of using a dual slope ADC in a digital voltmeter is that For an ADC, match the following : if <br><b>List 1</b> <br> A. Flash converter <... The mod-5 counter shown in figure counts through states Q<sub>2</sub> Q<sub>1</... The Maxwell's equation$$\nabla\times\overrightarrow H\;=\;\overrightarrow J\;+\...
A loop is rotating about the y-axis in a magnetic field $$\overrightarrow B\;=\... The intrinsic impedance of copper at high frequencies is The depth of penetration of a wave in a lossy dielectric increases with increasi... The wavelength of a wave with propagation constant$$\left( {0.1\,\pi + j\,0.2\...
All transmission line sections shown in Fig. have characteristic impedance $${R_... The polarization of a wave with electric field vector$$\overrightarrow E = {E_...
The time averaged Poynting vector, in W/m<sup>2</sup>, for a wave with $$\vec E ... A plane wave with$$\overrightarrow E = 10\,{e^{j\left( {\omega t - \beta z} \r...
The electric field vector of a wave is given as $$\vec E = {E_0}{\mkern 1mu} {... An antenna in free space receives 2$$\mu $$W of power when the incident electri... The radiation resistance of a circular loop of one turn is 0.01$$\Omega $$. The... The far field of an antenna varies with distance r as The vector$$\mathop H\limits^ \to $$in the far field of an antenna satisfiels... A rectangular waveguide with inner dimensions 6 cm$$ \times $$3 cm has been de... The region between a pair of parallel perfectly conducting planes of infinite ex... The static characteristic of an adequately forward biased p-n junction is a stra... For small signal a.c. operation, a practical forward biased diode can be modeled... The eigen values of the matrix$$A = \left[ {\matrix{ 0 &amp; 1 \cr 1 &a...
If $$\,\,\,L\,\,\left\{ {f\left( t \right)} \right\} = {w \over {{s^2} + {w^2}}}... An I/O processor control the flow of information between An instruction used to set the carry flag in a computer can be classified as <p>The Nodal method of circuit analysis is based on</p> <p>The voltage across the terminals a and b in Fig. is</p> <img alt="GATE 1998 N... <p>Superposition theorem is NOT applicable to networks containing</p> <p>A voltage source of internal impedance$${\mathrm R}_\mathrm s\;+\;{\mathrm{j...
The short-circuit admittance matrix of a two-port network is $$\begin{bmatrix}0... A network has 7 nodes and 5 independent loops. The number of branches in the net... The parallel$$RLC$$circuit shown in figure is in resonance. In this circuit <... Determine the frequency of resonance and the resonant impedance of the parallel ... The trigonometric Fourier series of a periodic time function can have only The amplitude spectrum of a Gaussian pulse is The Fourier transform of a function x(t) is X(f). The Fourier transform of$${{...
The Fourier transform of a voltage of a voltage signal x(t) is X(f). The unit of...
If L$$\left[ {f\left( t \right)} \right]$$ = $$\omega /\left( {{s^2} + {\omega ^... The z - transform of the time function$$\sum\limits_{k = 0}^\infty {\delta \le...
The transfer function of a zero - order - hold system is
The unit impulse response of a linear time invariant system is the unit step fun...
Consider a rectangular pulse g(t) existing between t = \, - {T \over 2}\,and\,...
Flat top sampling of low pass signals
The ACF of a rectangular pulse of duration T is

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