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Recent questions tagged gate1998-ec

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81
GATE ECE 1998 | Question 3
Determine the frequency of resonance and the resonant impedance of the parallel circuit shown in the figure is. What happens when $\text{L}=\mathrm{CR}^{2}$ ?
Determine the frequency of resonance and the resonant impedance of the parallel circuit shown in the figure is. What happens when $\text{L}=\mathrm{CR}^{2}$ ?
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83
GATE ECE 1998 | Question: 5
Draw the transfer characteristic of the circuit of the figure assuming both $D_{1}$ and $D_{2}$ to be ideal. How would the characteristic change if $D_{2}$ is ideal, but $D_{1}$ is non-ideal in that it has forward resistance of $10 \; \Omega$ a reverse resistance of infinity?
Draw the transfer characteristic of the circuit of the figure assuming both $D_{1}$ and $D_{2}$ to be ideal.How would the characteristic change if $D_{2}$ is ideal, but $...
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84
GATE ECE 1998 | Question 6
Given an irrotational vector field $\overrightarrow{\mathrm{F}}=(k 1 x y+k 2) \vec{a}_{x}+\left(3 x 2-k 3 Z) \vec{a}_{y}+(3 x z 2-y) \vec{a}_{z}\right.$ Find $V . \vec{F}$ at $(1,1,-2)$.
Given an irrotational vector field$\overrightarrow{\mathrm{F}}=(k 1 x y+k 2) \vec{a}_{x}+\left(3 x 2-k 3 Z) \vec{a}_{y}+(3 x z 2-y) \vec{a}_{z}\right.$Find $V . \vec{F}$ ...
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GATE ECE 1998 | Question 7
The loop transfer function of a single loop control system is given by \[ \mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})=\frac{100}{s(1+0.01 s)} e^{-s \mathrm{T}} \] Using the Nyquist criterion, find the condition for the closed loop system to be stable.
The loop transfer function of a single loop control system is given by\[\mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})=\frac{100}{s(1+0.01 s)} e^{-s \mathrm{T}}\]Using the...
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86
GATE ECE 1998 | Question 8
The characteristic equation of a feedback control system is \[s^{4}+20 s^{3}+15 s^{2}+2 s+K=0\] Determine the range of $K$ for the system to be stable. Can the system be marginally stable? If so, find the required value of $K$ and the frequency of sustained oscillation.
The characteristic equation of a feedback control system is\[s^{4}+20 s^{3}+15 s^{2}+2 s+K=0\]Determine the range of $K$ for the system to be stable.Can the system be mar...
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87
GATE ECE 1998 | Question 9
Draw a signal flow graph for the following set of algebraic equations \[\begin{array}{l} y_{2}=a \; y_{1}-g \; y_{3} \\ y_{3}=e \; y_{2}+c \; y_{4} \\ y_{4}=b \; y_{2}-d \; y_{4}\end{array}\] Hence, find the gains $\frac{y_{2}}{y_{1}}$ and $\frac{y_{3}}{y_{1}}$
Draw a signal flow graph for the following set of algebraic equations\[\begin{array}{l}y_{2}=a \; y_{1}-g \; y_{3} \\y_{3}=e \; y_{2}+c \; y_{4} \\y_{4}=b \; y_{2}-d \; y...
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GATE ECE 1998 | Question 10
Consider the system shown in the figure is. Determine the value of a such that the damping ratio is $0.5$. Also obtain the values of the rise time $t_{r}$ and maximum overshoot $M_{p}$ in its step response.
Consider the system shown in the figure is. Determine the value of a such that the damping ratio is $0.5$. Also obtain the values of the rise time $t_{r}$ and maximum ove...
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GATE ECE 1998 | Question 11
Determine the input impedance of the given and investigatie if it can be inductive.
Determine the input impedance of the given and investigatie if it can be inductive.
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GATE ECE 1998 | Question 12
Find the value of $R^{\prime}$ in the circuit of the figure is for generating sinusoidal oscillations. Find the frequency of oscillations.
Find the value of $R^{\prime}$ in the circuit of the figure is for generating sinusoidal oscillations. Find the frequency of oscillations.
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91
GATE ECE 1998 | Question 13
In the circuit of the figure is determine the resistance $R_{0}$ seen by the output terminals. Ignore the effects of $R_{1}$ and $R_{2}$.
In the circuit of the figure is determine the resistance $R_{0}$ seen by the output terminals. Ignore the effects of $R_{1}$ and $R_{2}$.
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92
GATE ECE 1998 | Question 14
The $\text{JFET}$ in the circuit of the figure is characterised by the parameters $\mathrm{I}_{\mathrm{DSS}}=4 \; \mathrm{MA}$ and $\mathrm{V}_{p}=-4 \mathrm{V}$. Find $\mathrm{V}_{0}$ if $\mathrm{V}_{1}=0$, and $\mathrm{V}_{i}$ if $\mathrm{V}_{0}=0$
The $\text{JFET}$ in the circuit of the figure is characterised by the parameters $\mathrm{I}_{\mathrm{DSS}}=4 \; \mathrm{MA}$ and $\mathrm{V}_{p}=-4 \mathrm{V}$.Find$\ma...
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GATE ECE 1998 | Question 16
For the $\text{TTL}$ circuit shown in the figure is find the current through the collector of transistor $Q_{4}$ when $V_{0}=0.2 \mathrm{~V}$. Assume $V_{C E(\text {sat)}}=0.2 \mathrm{~V}, \beta=100$ and $V_{BE(\text {sat})}=0.7 \mathrm{~V}$. The $\alpha$ of $Q_{1}$ in its inverse active mode is $0.01$.
For the $\text{TTL}$ circuit shown in the figure is find the current through the collector of transistor $Q_{4}$ when $V_{0}=0.2 \mathrm{~V}$. Assume $V_{C E(\text {sat)}...
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95
GATE ECE 1998 | Question 17
Write a short assembly language program, without using any arithmetic instruction, to store hexadecimal $5D$ in the flag register of $8085$ microprocessor. Data in other registers of the processor must not alter upon executing this program.
Write a short assembly language program, without using any arithmetic instruction, to store hexadecimal $5D$ in the flag register of $8085$ microprocessor. Data in other ...
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GATE ECE 1998 | Question 18
Implement a monostable multivibrator using the timer circuit shown in the figure is Also determine an expression for $\mathrm{ON}$ time $\mathrm{T}$ of the output pulse.
Implement a monostable multivibrator using the timer circuit shown in the figure is Also determine an expression for $\mathrm{ON}$ time $\mathrm{T}$ of the output pulse.
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GATE ECE 1998 | Question 20
An $\text{SSB}$ signal is demodulated by using a synchronous demodulator. However, the locally arranged carrier has a phase error $0$. Determine the effect of the error on demodulation. What will be the effect of this error if the input is $\text{DSB-SC}$ in place of $\text{SSB}$?
An $\text{SSB}$ signal is demodulated by using a synchronous demodulator. However, the locally arranged carrier has a phase error $0$. Determine the effect of the error o...
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GATE ECE 1998 | Question 21
White noise of two-sided spectral density $2 \times 10^{-6} \mathrm{~V}^{2} / \mathrm{Hz}$ is applied to a simple $\mathrm{R}-\mathrm{C}$ low pass filter whose $3 \mathrm{~dB}$ cut off frequency is $4 \; \mathrm{kHz}$. Find the mean squared value of the noise output.
White noise of two-sided spectral density $2 \times 10^{-6} \mathrm{~V}^{2} / \mathrm{Hz}$ is applied to a simple $\mathrm{R}-\mathrm{C}$ low pass filter whose $3 \mathrm...
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GATE ECE 1998 | Question 22
Consider a rectangular pulse $g(t)$ existing between $t=-\frac{T}{2}$ and $t=-\frac{T}{2}$. Find and sketch the pulse obtained by convolving $g(t)$ with itself. The Fourier transform of $g(t)$ is a sine function. Write down to Fourier transform of the pulse obtained by the above convolution.
Consider a rectangular pulse $g(t)$ existing between $t=-\frac{T}{2}$ and $t=-\frac{T}{2}$. Find and sketch the pulse obtained by convolving $g(t)$ with itself. The Fouri...
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GATE ECE 1998 | Question 23
A rectangular waveguide with inner dimensions $6 \mathrm{~cm} \times 3 \mathrm{~cm}$ has been designed for a single mode operation. Find the possible frequency range of operation such that the lowest frequency is $5 \%$ above the cut off and the highest frequency is $5 \%$ below the cut off of the next higher mode.
A rectangular waveguide with inner dimensions $6 \mathrm{~cm} \times 3 \mathrm{~cm}$ has been designed for a single mode operation. Find the possible frequency range of o...
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