GATE ECE 1998

## GATE ECE

For full wave rectification, a four diode bridge rectifier is claimed to have the
following advantages over a two diode

View Question
The emitter coupled pair of BJT’s gives a linear transfer relation between the
differential output voltage and the diffe

View Question
The circuit of Fig. is an example of feedback of the following type

View Question
From a measurement of the rise time of the output pulse of an amplifier whose
input is a small amplitude square wave, on

View Question
In a series regulated power supply circuit, the voltage gain Av of the ‘pass’
transistor satisfies the condition:

View Question
In the circuit of fig. Determine the resistance Ro seen by the output terminals, ignore the effects of R1 and R2.

View Question
The $${f_T}$$ of a BJT is related to its $${g_{m,}}\,\,{C_\pi }$$ and $${C_\mu }$$ as follows

View Question
In the MOSFET amplifier of the figure the signal output V1 and V2 obey the relationship

View Question
Find the value of $${R^1}$$ in the circuit of fig. For generating sinusoidal Oscillations. Find the frequency of oscilla

View Question
One input terminal of high gain comparator circuit is connected to ground and a
sinusoidal voltage is applied to the oth

View Question
In a differential Amplifier, CMRR can be improved by using an increased

View Question
In a shunt-shunt negative feedback Amplifier, as compared to the basic Amplifier,

View Question
Implement a monostable multivibrator using the timer circuit shown, in Fig. Also determine an expression for ON time T o

View Question
The image channel selectivity of super heterodyne receiver depends upon

View Question
A DSB-SC signal is generated using the carrier $$\cos\left(\omega_ct\;+\;\theta\right)$$ and modulating singal
x(t). The

View Question
Quadrature multiplexing is

View Question
Compression in PCM refers to relative compression of

View Question
In a PCM system with uniform quantization, increasing the number of bits from 8 to 9 will reduce the quantization noise

View Question
For a given data rate, the bandwidth Bp of a BPSK signal and the band width B0 of the OOK signal are related as

View Question
The amplitude spectrum of a Gaussian pulse is

View Question
The ACF of a rectangular pulse of duration T is

View Question
The probability density function of the envelope of narrow band Gaussian noise is

View Question
Consider a unity feedback control system with open-loop transfer function
$$G\left(s\right)\;=\;\frac K{s\left(s\;+\;1\r

View Question
If $$F\left(s\right)\;=\;\frac\omega{s^2\;+\;\omega^2}$$, then the value of $$\underset{t\rightarrow\infty}{\lim\;}f\lef

View Question
The unit impulse response of a linear time invariant system is the unit step
function u(t). For t>0, the response of

View Question
The number of roots of $$s^3\;+\;5s^2\;+\;7s\;+\;3\;=\;0$$ in the left half of the s-plane are

View Question
The transfer function of a tachometer is of the form

View Question
Draw a signal flow graph for the following set of algebraic equations:
$$$\begin{array}{l}y_2=ay_1-\;gy_3\\y_3=ey_2+\;cy

View Question
Consider a feedback control system with loop transfer function $$$G\left(s\right)H\left(s\right)=\frac{K\left(1+0.5s\rig

View Question
The open loop transfer function of a unity feedback open-loop system is $$\frac{2s^2+6s+5}{\left(s+1\right)^2\left(s+2\r

View Question
Consider the system shown in Fig. Determine the value of 'a' such that the
damping ratio is 0.5. Also obtain the value

View Question
The characteristic equation of a feedback control system is
$$$s^4+20s^3+15s^2+2s+K\;=\;0$$$
(i) Determine the range of

View Question
In the Bode-plot of a unity feedback control system, the value of phase of G($$j\omega $$) at the gain cross over freque

View Question
The Nyquist plot of a loop transfer function G$$(j\omega )$$ H$$(j\omega )$$, of a system encloses the (-1, j0) point. T

View Question
The loop transfer function of a single loop control system is given by
$$G(s)H(s) = {{100} \over {s\left( {1 + 0.01s} \r

View Question
The transfer function of a phase lead controller is $${\textstyle{{1 + 3Ts} \over {1 + Ts}}}.$$
The maximum value of ph

View Question
An equivalent 2’s complement representation of the 2’s complement number
1101 is

View Question
The K-map for a Boolean function is shown in figure. The number of essential prime implicants for this function is

View Question
Two 2' s complement numbers having sign bits x and y added and the sign bit of the result is z. Then, the occurrence of

View Question
Figure shows a mod-K counter, Here K is equal to

View Question
The threshold voltage for each transistor in Fig.2.5, is 2V. For this circuit to work as an inverter, Vi must take the v

View Question
The noise margin of a TTL gate is about

View Question
In figure, A = 1 and B = 1. The input B is now replaced by a sequence 101010 ___, the outputs x and y will be

View Question
The advantage of using a dual slope ADC in a digital voltmeter is that

View Question
For an ADC, match the following : if
List 1
A. Flash converter
B. Dual slope converter
C. Successive approximation C

View Question
The mod-5 counter shown in figure counts through states Q2 Q1 Q0 = 000, 001, 010, 011 and 100.
(a) Will the counter

View Question
A loop is rotating about the y-axis in a magnetic field $$$\overrightarrow B\;=\;B_0\cos\left(\mathrm{ωt}\;+\;\mathrm\ph

View Question
The Maxwell's equation $$\nabla\times\overrightarrow H\;=\;\overrightarrow J\;+\;\frac{\partial\overrightarrow D}{\parti

View Question
The depth of penetration of a wave in a lossy dielectric increases with increasing

View Question
The intrinsic impedance of copper at high frequencies is

View Question
The wavelength of a wave with propagation constant $$\left( {0.1\,\pi + j\,0.2\pi } \right){m^{ - 1}}$$ is

View Question
All transmission line sections shown in Fig. have characteristic impedance $${R_0}\, + \,j0$$. The input impedance $${Z_

View Question
The polarization of a wave with electric field vector $$\overrightarrow E = {E_0}\,{e^{j\left( {\omega t - \beta z} \ri

View Question
The time averaged Poynting vector, in W/m2, for a wave with $$\vec E = 24{e^{j\left( {\omega t + \beta z} \right)}}{\mke

View Question
A plane wave with $$\overrightarrow E = 10\,{e^{j\left( {\omega t - \beta z} \right)\,}}\,\,{\overrightarrow a _{_y}}$$

View Question
The electric field vector of a wave is given as
$$$\vec E = {E_0}{\mkern 1mu} {e^{j\left( {\omega t + 3x - 4y} \right)}

View Question
An antenna in free space receives 2$$\mu $$ W of power when the incident electric field is 20 m V/m rms. The effective a

View Question
The radiation resistance of a circular loop of one turn is 0.01 $$\Omega $$. The radiation resistance of five turns of s

View Question
The far field of an antenna varies with distance r as

View Question
The vector $$\mathop H\limits^ \to $$ in the far field of an antenna satisfiels

View Question
A rectangular waveguide with inner dimensions 6 cm $$ \times $$ 3 cm has been designed for a single mode operation. Find

View Question
The region between a pair of parallel perfectly conducting planes of infinite extent in the y and z directions is partia

View Question
For small signal a.c. operation, a practical forward biased diode can be modeled
as

View Question
The static characteristic of an adequately forward biased p-n junction is a straight
line, if the plot is of

View Question
The eigen values of the matrix $$A = \left[ {\matrix{
0 & 1 \cr
1 & 0 \cr
} } \right]$$ are

View Question
If $$\,\,\,L\,\,\left\{ {f\left( t \right)} \right\} = {w \over {{s^2} + {w^2}}}$$ then the value of
$$\mathop {Lim}\li

View Question
An I/O processor control the flow of information between

View Question
An instruction used to set the carry flag in a computer can be classified as

View Question
The Nodal method of circuit analysis is based on

View Question
The voltage across the terminals a and b in Fig. is

View Question
Superposition theorem is NOT applicable to networks containing

View Question
A voltage source of internal impedance $${\mathrm R}_\mathrm s\;+\;{\mathrm{jX}}_\mathrm s$$ supplies power to a load of

View Question
The short-circuit admittance matrix of a two-port network is $$$\begin{bmatrix}0&-\frac12\\\frac12&0\end{bmatrix

View Question
A network has 7 nodes and 5 independent loops. The number of branches in the
network is

View Question
The parallel $$RLC$$ circuit shown in figure is in resonance. In this circuit

View Question
Determine the frequency of resonance and the resonant impedance of the parallel circuit shown in figure. What happens wh

View Question
The trigonometric Fourier series of a periodic time function can have only

View Question
The amplitude spectrum of a Gaussian pulse is

View Question
The Fourier transform of a voltage of a voltage signal x(t) is X(f). The unit of |X(f)| is

View Question
The Fourier transform of a function x(t) is X(f). The Fourier transform of $${{dx(t)} \over {dt}}$$ will be

View Question
If L$$\left[ {f\left( t \right)} \right]$$ = $$\omega /\left( {{s^2} + {\omega ^2}} \right),$$ then the value of $$\matr

View Question
The z - transform of the time function $$\sum\limits_{k = 0}^\infty {\delta \left( {n - k} \right)} $$ is

View Question
The transfer function of a zero - order - hold system is

View Question
The unit impulse response of a linear time invariant system is the unit step function u(t). For t>0, the response of

View Question
Consider a rectangular pulse g(t) existing between $$t = \, - {T \over 2}\,and\,{T \over 2}$$. Find and sketch the pulse

View Question
Flat top sampling of low pass signals

View Question
The ACF of a rectangular pulse of duration T is

View Question