GATE ECE 1998
GATE ECE
The circuit of Fig. is an example of feedback of the following type
View Question The emitter coupled pair of BJT’s gives a linear transfer relation between the
differential output voltage and the diffe
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 For full wave rectification, a four diode bridge rectifier is claimed to have the
following advantages over a two diode
View Question Implement a monostable multivibrator using the timer circuit shown, in Fig. Also determine an expression for ON time T o
View Question In a shunt-shunt negative feedback Amplifier, as compared to the basic Amplifier,
View Question In a differential Amplifier, CMRR can be improved by using an increased
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 Find the value of $${R^1}$$ in the circuit of fig. For generating sinusoidal Oscillations. Find the frequency of oscilla
View Question In the MOSFET amplifier of the figure the signal output V1 and V2 obey the relationship
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 circuit of fig. Determine the resistance Ro seen by the output terminals, ignore the effects of R1 and R2.
View Question In a series regulated power supply circuit, the voltage gain Av of the ‘pass’
transistor satisfies the condition:
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 In a PCM system with uniform quantization, increasing the number of bits from 8 to 9 will reduce the quantization noise
View Question Compression in PCM refers to relative compression of
View Question Quadrature multiplexing is
View Question The probability density function of the envelope of narrow band Gaussian noise is
View Question The ACF of a rectangular pulse of duration T is
View Question The amplitude spectrum of a Gaussian pulse is
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 The image channel selectivity of super heterodyne receiver depends upon
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 unit impulse response of a linear time invariant system is the unit step
function u(t). For t>0, the response of
View Question If $$F\left(s\right)\;=\;\frac\omega{s^2\;+\;\omega^2}$$, then the value of $$\underset{t\rightarrow\infty}{\lim\;}f\lef
View Question Consider a unity feedback control system with open-loop transfer function
$$G\left(s\right)\;=\;\frac K{s\left(s\;+\;1\r
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}}}.$$
The maximum value of ph
View Question The Nyquist plot of a loop transfer function G$$(j\omega )$$ H$$(j\omega )$$, of a system encloses the (-1, j0) point. T
View Question In the Bode-plot of a unity feedback control system, the value of phase of G($$j\omega $$) at the gain cross over freque
View Question The characteristic equation of a feedback control system is
$$$s^4+20s^3+15s^2+2s+K\;=\;0$$$
(i) Determine the range of
View Question Consider the system shown in Fig. Determine the value of 'a' such that the
damping ratio is 0.5. Also obtain the value
View Question The open loop transfer function of a unity feedback open-loop system is $$\frac{2s^2+6s+5}{\left(s+1\right)^2\left(s+2\r
View Question Consider a feedback control system with loop transfer function $$$G\left(s\right)H\left(s\right)=\frac{K\left(1+0.5s\rig
View Question Draw a signal flow graph for the following set of algebraic equations:
$$$\begin{array}{l}y_2=ay_1-\;gy_3\\y_3=ey_2+\;cy
View Question The transfer function of a tachometer is of the form
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 For an ADC, match the following : if
List 1
A. Flash converter
B. Dual slope converter
C. Successive approximation C
View Question The advantage of using a dual slope ADC in a digital voltmeter is that
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 noise margin of a TTL gate is about
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 Figure shows a mod-K counter, Here K is equal to
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 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 The electric field vector of a wave is given as
$$$\vec E = {E_0}{\mkern 1mu} {e^{j\left( {\omega t + 3x - 4y} \right)}
View Question The region between a pair of parallel perfectly conducting planes of infinite extent in the y and z directions is partia
View Question A rectangular waveguide with inner dimensions 6 cm $$ \times $$ 3 cm has been designed for a single mode operation. Find
View Question The vector $$\mathop H\limits^ \to $$ in the far field of an antenna satisfiels
View Question The far field of an antenna varies with distance r as
View Question The radiation resistance of a circular loop of one turn is 0.01 $$\Omega $$. The radiation resistance of five turns of s
View Question An antenna in free space receives 2$$\mu $$ W of power when the incident electric field is 20 m V/m rms. The effective a
View Question A plane wave with $$\overrightarrow E = 10\,{e^{j\left( {\omega t - \beta z} \right)\,}}\,\,{\overrightarrow a _{_y}}$$
View Question The time averaged Poynting vector, in W/m2, for a wave with $$\vec E = 24{e^{j\left( {\omega t + \beta z} \right)}}{\mke
View Question The polarization of a wave with electric field vector $$\overrightarrow E = {E_0}\,{e^{j\left( {\omega t - \beta z} \ri
View Question All transmission line sections shown in Fig. have characteristic impedance $${R_0}\, + \,j0$$. The input impedance $${Z_
View Question The wavelength of a wave with propagation constant $$\left( {0.1\,\pi + j\,0.2\pi } \right){m^{ - 1}}$$ is
View Question The intrinsic impedance of copper at high frequencies is
View Question The depth of penetration of a wave in a lossy dielectric increases with increasing
View Question The Maxwell's equation $$\nabla\times\overrightarrow H\;=\;\overrightarrow J\;+\;\frac{\partial\overrightarrow D}{\parti
View Question A loop is rotating about the y-axis in a magnetic field $$$\overrightarrow B\;=\;B_0\cos\left(\mathrm{ωt}\;+\;\mathrm\ph
View Question The static characteristic of an adequately forward biased p-n junction is a straight
line, if the plot is of
View Question For small signal a.c. operation, a practical forward biased diode can be modeled
as
View Question If $$\,\,\,L\,\,\left\{ {f\left( t \right)} \right\} = {w \over {{s^2} + {w^2}}}$$ then the value of
$$\mathop {Lim}\li
View Question The eigen values of the matrix $$A = \left[ {\matrix{
0 & 1 \cr
1 & 0 \cr
} } \right]$$ are
View Question An instruction used to set the carry flag in a computer can be classified as
View Question An I/O processor control the flow of information between
View Question Determine the frequency of resonance and the resonant impedance of the parallel circuit shown in figure. What happens wh
View Question The parallel $$RLC$$ circuit shown in figure is in resonance. In this circuit
View Question A network has 7 nodes and 5 independent loops. The number of branches in the
network is
View Question The short-circuit admittance matrix of a two-port network is $$$\begin{bmatrix}0&-\frac12\\\frac12&0\end{bmatrix
View Question A voltage source of internal impedance $${\mathrm R}_\mathrm s\;+\;{\mathrm{jX}}_\mathrm s$$ supplies power to a load of
View Question Superposition theorem is NOT applicable to networks containing
View Question The voltage across the terminals a and b in Fig. is
View Question The Nodal method of circuit analysis is based on
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 Flat top sampling of low pass signals
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 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 transfer function of a zero - order - hold system is
View Question The z - transform of the time function $$\sum\limits_{k = 0}^\infty {\delta \left( {n - k} \right)} $$ is
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 ACF of a rectangular pulse of duration T 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 amplitude spectrum of a Gaussian pulse is
View Question The trigonometric Fourier series of a periodic time function can have only
View Question