GATE ECE 1987
View Questions

GATE ECE

1
In Fig. if the CMRR of the operational amplifier is 60dB, then the magnitude of the output voltage is GATE ECE 1987 Analog Circuits - Operational Amplifier Question 21 English
2
In case of class A amplifiers, the ratio (efficiency of transformer coupled amplifier)/(efficiency of a transformer less amplifier ) is
3
(a) Specify the type of the negative feedback in the JFET amplifier shown in Fig.
(b)Calculate the voltage gain (V0/Vi), of the amplifier with no feedback (Rf=$$\infty $$).
(c)Determine the value of the resistance Rf, required to give a voltage gain (V0/Vi), or - 10. GATE ECE 1987 Analog Circuits - FET and MOSFET Question 9 English
4
A rectangular pulse existing between t = 0 and t = T and having an amplitude A is to be received by a matched filter

(a) Draw the impulse response of the matched filter labeling all important points and the axes.
(b) Find the signal shape at the filter output. Lable all important points and axes.

5
Companding in PCM systems leads to improved signal - to - quantization noise ratio. This improvement is for
6
White Gaussian noise is passed through a linear narrow band filter. The probability density function of the envelope of the noise at the filter output is:
7
The variance of a random variable X is $$\sigma _x^2\,.$$ Then the variance of - kx (where k is a positive constant ) is
8
A system with derivative control is shown in figure. GATE ECE 1987 Control Systems - Compensators Question 2 English
(a)Determine the transfer function and the characteristic equation of the system.

(b)Given that K > 0, find the range of '$$\tau $$' for which the system is unconditionally stable.
9
The magnitude plot of the open loop transfer function G(s), of a certain system is given in fig,


(a) Determine G(s), if it is known that the system is of minimum phase type.


(b) Estimate the phase at each of the corner frequencies.
GATE ECE 1987 Control Systems - Frequency Response Analysis Question 7 English
10
A system has fourteen poles and two zeroes. Its high frequency asymptote, in its magnitude plot, has having a slope of
11
The popular plot of G(s)=$${{10} \over {s{{\left( {s + 1} \right)}^2}}},$$ intercepts real axix at $$\omega = {\omega _0}$$ Then, the real part and $${\omega _0}$$ are respectively given by
12
For the system shown in figure the transfer function $$\frac{\mathrm C\left(\mathrm s\right)}{\mathrm R\left(\mathrm s\right)}$$ is equal to GATE ECE 1987 Control Systems - Signal Flow Graph and Block Diagram Question 7 English
13

In the signal flow graph shown in fig X2= TX1 where T is equal to

GATE ECE 1987 Control Systems - Signal Flow Graph and Block Diagram Question 8 English
14
A ripple counter using negative edge-triggered D-flip flops is shown in Fig.1. The flip-flops are cleared to '0' by a '0' at the R input. The feedback logic is to be designed to obtain the count sequence shown in the same figure. The correct feedback logic is: GATE ECE 1987 Digital Circuits - Sequential Circuits Question 12 English 1 GATE ECE 1987 Digital Circuits - Sequential Circuits Question 12 English 2
15
Choose the correct statements relating to the circuit of figure GATE ECE 1987 Digital Circuits - Sequential Circuits Question 8 English
16
A 2-input up/down synchrconous counter using two toggle flip-flops is shown in Fig.1. The counter's sequence is to be controlled by the input M as follows:
For M=1, sequence of Q1, Q0 is ..00, 01, 10, 11, 00, 01.......
For M=0, sequence of Q1, Q0 is ..00, 11, 10, 01, 00, 11......

(a)Design the necessary feedback logic for T1 and T0.

(b)Realize the feesback logic using inverters and 4-input multiplexers only. Use Q1 and Q0 as the control inputs of the multiplexer with Q1 as the MSB.

GATE ECE 1987 Digital Circuits - Sequential Circuits Question 19 English
17
The circuit diagram of a 2 bit A to D converter is shown in figure below. The combinational logic is to be disigned to provide a natural binary representation using $${D_1}$$ and $${D_0}$$ for the analog input $${V_i}$$. $${D_1}$$ is to be the most significant bit. GATE ECE 1987 Digital Circuits - Combinational Circuits Question 6 English
(a) Draw the Karnaugh maps for $${D_1}$$ and $${D_0}$$ in terms of $${C_2}$$, $${C_1}$$ and $${C_0}$$
(b) Obtain the minimal sum of products expressions for $${D_1}$$ and $${D_0}$$.
(c) Realize the logic for $${D_1}$$ and $${D_0}$$ using 2- input NAND gates only.
(d) Find the resolution of the Ato D converter.
18
Given that for a logic family,

$${V_{OH}}$$ is the minimum output high-level voltage
$${V_{OL}}$$ is the minimum output low-level voltage
$${V_{IH}}$$ is the minimum output high-level voltage and
$${V_{IL}}$$ is the minimum output low-level voltage.
The correct relationship is:

19
Fill in the blanks of the statements below concerning the following Logic Families:
Standard TTL (74XX), Low power TTL(74LXX) Low power schottky TTL(74LSXX), schottky TTL(74 SXXX), Emitter coupled Logic (ECL), CMOS

(a) Among the TTL Families, ________ family requires considerably less power than the standard TTL (74XX) and also has com parable proparation delay.
(b) Only the _______ family can operate over a wide range of power supply voltages.

20
The subtraction of a binary number Y from another binary number X, done by adding the 2's complement of Y to X, result in a binary number without overflow. This implies that the result is:
21
A transmission line of pure resistive characteristic impedance is terminated with an unknown load. The measured value of VSWR on the line is equal to 2 and a voltage minimum point is found to be at the load. The load impedance is then
22
For an electromagnetic wave incident from one medium to a second medium, total reflection takes place when
23
An electrostatic field is said to be conservative when
24
Two long parallel wires in free space are separated by a distance R and carry currents of equal magnitude but opposite in direction. At any general point, the Z-component of GATE ECE 1987 Electromagnetics - Maxwell Equations Question 4 English
25
An electric field is given by $$\overrightarrow E = \overrightarrow a {}_x\,{\rm A}\,\,\sin \,\beta ySin\,\,\omega t$$ is present in a charge free medium infinite in extent

(a) Determine the associated magnetic field.
(b) What type of wave does the above field represent?

26
The cut-off frequency of a waveguide depends upon
27
A thin dipole antenna is $$\left( {\lambda /15} \right)$$ long, where $$\lambda $$ is the voperating wavelength. If the dipole has a loss resistance of $$1.5$$ ohm determine its
(i) radiation resistance and
(ii) terminal resistance
28
The diffusion capacitance of a P-N junction
29
In an intrinsic semiconductor the free electron concentration depends on
30
The impedance function of a parallel $$R$$, $$L$$, $$C$$ circuit has poles located at $$ - 3 \pm j4$$ rad/sec. If the value of $$L = 1H$$, determine the following:

(a) the values of $$R$$ and $$C$$
(b) the quality factor of the circuit

31
The value of current through the 1F capacitor of figure is. GATE ECE 1987 Network Theory - Sinusoidal Steady State Response Question 9 English
32

A square waveform as shown in the figure is applied across 1 mH ideal inductor.The current through the inductor is a triangular wave of ................. peak amplitude.

GATE ECE 1987 Network Theory - Network Elements Question 26 English
33
Laplace transform of the functions t u(t) and u(t) sin(t) are respectively:
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12