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602
GATE ECE 2001 | Question: 2.12
The digital block in the figure, realized using two positive edge triggered D-flip-flops. Assume that for that for $t < t_{0}, Q_{1} =Q_{2} = 0.$ The circuit in the digital block is given by
The digital block in the figure, realized using two positive edge triggered D-flip-flops. Assume that for that for $t < t_{0}, Q_{1} =Q_{2} = 0.$ The circuit in the digit...
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604
GATE ECE 2001 | Question: 2.14
The impulse response functions of four linear systems $\mathrm{S}_{1}, \mathrm{~S}_{2}, \mathrm{~S}_{3}, \mathrm{~S}_{4}$ ... of these systems is time invariant, causal, and stable? $\mathrm{S}_{1}$ $\mathrm{S}_{2}$ $\mathrm{S}_{3}$ $\mathrm{S}_{4}$
The impulse response functions of four linear systems $\mathrm{S}_{1}, \mathrm{~S}_{2}, \mathrm{~S}_{3}, \mathrm{~S}_{4}$ are given respectively by$\begin{array}{ll} h_{1...
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605
GATE ECE 2001 | Question: 2.15
An electrical system and its signal-flow graph representations are shown in the figure respectively. The values of $G_{2}$ and $H$, respectively, are $\frac{Z_3(s)}{Z_2(s)+Z_3(s)+Z_4(s)}, \frac{-Z_3(s)}{Z_1(s)+Z_3(s)}$ ... $\frac{-Z_3(s)}{Z_2(s)-Z_3(s)+Z_4(s)}, \frac{Z_3(s)}{Z_1(s)+Z_3(s)}$
An electrical system and its signal-flow graph representations are shown in the figure respectively. The values of $G_{2}$ and $H$, respectively, are$\frac{Z_3(s)}{Z_2(s)...
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606
GATE ECE 2001 | Question: 2.16
The open-loop $\text{DC}$ gain of a unity negative feedback system with closed-loop transfer function $\frac{s+4}{s^{2}+7 s+13}$ is $\frac{4}{13}$ $\frac{4}{9}$ $4$ $13$
The open-loop $\text{DC}$ gain of a unity negative feedback system with closed-loop transfer function $\frac{s+4}{s^{2}+7 s+13}$ is$\frac{4}{13}$$\frac{4}{9}$$4$$13$
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607
GATE ECE 2001 | Question: 2.17
The feeback control system in the figure is stable. for all $K \geq 0$ only if $\mathrm{K} \geq 1$ only if $0 \leq \mathrm{K}<1$ only if $0 \leq K \leq 1$
The feeback control system in the figure is stable.for all $K \geq 0$only if $\mathrm{K} \geq 1$only if $0 \leq \mathrm{K}<1$only if $0 \leq K \leq 1$
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608
GATE ECE 2001 | Question: 2.18
A video transmission system transmits $625$ picture frames per second. Each frame consists of a $400 \times 400$ pixel grid with $64$ intensity levels per pixel. The data rate of the system is $16 \; \mathrm{Mbps}$ $100 \; \mathrm{Mbps}$ $600 \; \mathrm{Mbps}$ $6.4 \; \mathrm{Gbps}$
A video transmission system transmits $625$ picture frames per second. Each frame consists of a $400 \times 400$ pixel grid with $64$ intensity levels per pixel. The data...
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609
GATE ECE 2001 | Question: 2.19
The Nyquist sampling interval, for the signal $\text{Sin c } (700 t)+\text{Sin c } (500 t)$ is $\frac{1}{350} \mathrm{sec}$ $\frac{\pi}{350} \sec$ $\frac{1}{700} \mathrm{sec}$ $\frac{\pi}{175} \mathrm{sec}$
The Nyquist sampling interval, for the signal $\text{Sin c } (700 t)+\text{Sin c } (500 t)$ is$\frac{1}{350} \mathrm{sec}$$\frac{\pi}{350} \sec$$\frac{1}{700} \mathrm{sec...
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610
GATE ECE 2001 | Question: 2.20
During transmission over a communication channel, bit errors occur independently with probability p. If a block of $n$ bits is transmitted, the probability of at most one bit error is equal to $1-(1-p)^n$ $p+(n-1)(1-p)$ $n p(1-p)^{n-1}$ $(1-p)^{n}+ n p(1-p)^{n-1}$
During transmission over a communication channel, bit errors occur independently with probability p. If a block of $n$ bits is transmitted, the probability of at most one...
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612
GATE ECE 2001 | Question: 2.22
A material has conductivity of $10^{-2} \mathrm{mho/m}$ and a relative permittivity of $4.$ The frequency at which the conduction current in the medium is equal to the displacement current is $45 \; \mathrm{MHz}$ $90 \; \mathrm{MHz}$ $450 \; \mathrm{MHz}$ $900 \; \mathrm{MHz}$
A material has conductivity of $10^{-2} \mathrm{mho/m}$ and a relative permittivity of $4.$ The frequency at which the conduction current in the medium is equal to the di...
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613
GATE ECE 2001 | Question: 2.23
A uniform plane electromagnetic wave incident normally on a plane surface of a dielectric material is reflected with a VSWR of $3.$ What is the percentage of incident power that is reflected? $10 \%$ $25 \%$ $50 \%$ $75 \%$
A uniform plane electromagnetic wave incident normally on a plane surface of a dielectric material is reflected with a VSWR of $3.$ What is the percentage of incident pow...
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614
GATE ECE 2001 | Question: 2.24
A medium wave radio transmitter operating at a wavelength of $492 \mathrm{~m}$ has a tower antenna of height $124 \mathrm{~m}$. What is the radiation resistance of the antenna? $25 \; \Omega$ $36.5 \; \Omega$ $50 \; \Omega$ $73 \; \Omega$
A medium wave radio transmitter operating at a wavelength of $492 \mathrm{~m}$ has a tower antenna of height $124 \mathrm{~m}$. What is the radiation resistance of the an...
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615
GATE ECE 2001 | Question: 2.25
In a uniform linear array, four isotropic radiating elements are spaced $\frac{\lambda}{4}$ apart. The progressive phase shift between the elements required for forming the main beam at $60^{\circ}$ off the end-fire is $-\pi$ radians $-\frac{\pi}{2}$ radians $-\frac{\pi}{4}$ radians $-\frac{\pi}{8}$ radians
In a uniform linear array, four isotropic radiating elements are spaced $\frac{\lambda}{4}$ apart. The progressive phase shift between the elements required for forming t...
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616
GATE ECE 2001 | Question: 3
This section consists of TWENTY questions of FIVE marks each. ANY FIFTEEN out of these questions have to be answered in the Answer Book provided. For the circuit shown in the figure, determine the phasors $\mathrm{E}_{2}, \mathrm{E}_{0}, \mathrm{I}$, and $\mathrm{I}_{1}$.
This section consists of TWENTY questions of FIVE marks each. ANY FIFTEEN out of these questions have to be answered in the Answer Book provided.For the circuit shown in ...
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620
GATE ECE 2001 | Question: 7
An emitter-follower amplifier is shown in the figure, $Z_{i}$ is the impedance looking into the base of the transistor and $Z_{0}$ ... $Z_{0}$. Determine $Z_{i}$ and $Z_{0}$ if a capacitor $C_{L}$ is connected across $R_{L}$.
An emitter-follower amplifier is shown in the figure, $Z_{i}$ is the impedance looking into the base of the transistor and $Z_{0}$ is the impedance looking into the emitt...
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623
GATE ECE 2001 | Question: 10
In the figure, the output of the oscillator, $\mathrm{V}_{1}$ has $10 \mathrm{~V}$ ... exact timings when the waveforms $\mathrm{V}_{2}$ and $\mathrm{V}_{3}$ make high-to-low and low-to-high transitions.
In the figure, the output of the oscillator, $\mathrm{V}_{1}$ has $10 \mathrm{~V}$ peak amplitude with zero DC value. The transfer characteristic of the Schmitt inverter ...
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625
GATE ECE 2001 | Question: 12
Consider the following sequence of instructions for an $8085$ ... ports $\text{(PORT1, PORT2}$ and $\text{PORT3)}$ will be loaded with data, and what is the bit pattern of the data?
Consider the following sequence of instructions for an $8085$ microprocessor based system.$\begin{array}{lll} \text{Memory Address} & \text{Instructions} \\ \text{FF00} &...
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627
GATE ECE 2001 | Question: 14
Consider the feedback control system shown in figure, Find the transfer function of the system and its characteristic equation. Use the Routh-Hurwitz criterion to determine the range of $\mathrm{K}$ for which the system is stable.
Consider the feedback control system shown in figure,Find the transfer function of the system and its characteristic equation.Use the Routh-Hurwitz criterion to determine...
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629
GATE ECE 2001 | Question: 16
The Fourier transform $G(\omega)$ of the signal $g(t)$ in the figure, given as $G(w)=\frac{1}{\omega^{2}}\left(\mathrm{e}^{j \omega}-j w e^{j \omega}-1\right)$. Using this information and the time-shifting and time-scaling properties, determine the Fourier transform of signals in the figure
The Fourier transform $G(\omega)$ of the signal $g(t)$ in the figure, given as $G(w)=\frac{1}{\omega^{2}}\left(\mathrm{e}^{j \omega}-j w e^{j \omega}-1\right)$. Using thi...
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632
GATE ECE 2001 | Question: 19
A periodic signal $\text{g}(t)$ is shown inthe figure. Determine the PSD of $\text{g}(t)$.
A periodic signal $\text{g}(t)$ is shown inthe figure. Determine the PSD of $\text{g}(t)$.
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633
GATE ECE 2001 | Question: 20
A system of three electric charges lying in a straight line is in equilibrium. Two of the charges are positive with magnitudes $Q$ and $2 Q$, and are $50 \mathrm{~cm}$ apart. Determine the sign, magnitude and position of the third charge.
A system of three electric charges lying in a straight line is in equilibrium. Two of the charges are positive with magnitudes $Q$ and $2 Q$, and are $50 \mathrm{~cm}$ ap...
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634
GATE ECE 2001 | Question: 21
A medium has a breakdown strength of $16 \; \mathrm{KV} / \text{m r.m.s}$ its relative permeability is $1.0$ and relative permittivity is $4.0 \mathrm{~A}$ plane electromagnetic wave is transmitted through the medium. Calculate the maximum possible power flow density and the associated magnetic field.
A medium has a breakdown strength of $16 \; \mathrm{KV} / \text{m r.m.s}$ its relative permeability is $1.0$ and relative permittivity is $4.0 \mathrm{~A}$ plane electrom...
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636
GATE ECE 1998 | Question 1.7
The parallel RLC circuit shown in the figure is in resonance. In this circuit $\left|\mathrm{I}_{\mathrm{R}}\right|<1 \mathrm{~mA}$ $\left|\mathrm{I}_{\mathrm{R}}+\mathrm{I}_{\mathrm{L}}\right|>1 \mathrm{~mA}$ ... $\left|\mathrm{I}_{\mathrm{R}}+\mathrm{I}_{\mathrm{C}}\right|>1 \mathrm{~mA}$
The parallel RLC circuit shown in the figure is in resonance. In this circuit$\left|\mathrm{I}_{\mathrm{R}}\right|<1 \mathrm{~mA}$$\left|\mathrm{I}_{\mathrm{R}}+\mathrm{I...
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637
GATE ECE 2002 | Question: 1.1
The dependent current source shown in given figure. delivers $80 \mathrm{~W}$ absorbs $80 \mathrm{~W}$ delivers $40 \mathrm{~W}$ absorbs $40 \mathrm{~W}$
The dependent current source shown in given figure.delivers $80 \mathrm{~W}$absorbs $80 \mathrm{~W}$delivers $40 \mathrm{~W}$absorbs $40 \mathrm{~W}$
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638
GATE ECE 2002 | Question: 1.2
In given figure $1.2,$ the switch was closed for a long time before opening at $t=0$. The voltage $V x$ at $t=0^{+}$ is $25 \mathrm{~V}$ $50 \mathrm{~V}$ $-50 \mathrm{~V}$ $0 \mathrm{~V}$
In given figure $1.2,$ the switch was closed for a long time before opening at $t=0$. The voltage $V x$ at $t=0^{+}$ is$25 \mathrm{~V}$$50 \mathrm{~V}$$-50 \mathrm{~V}$$0...
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639
GATE ECE 2002 | Question: 1.3
Convolution of $x(t+5)$ with impulse function $\delta(t-7)$ is equal to $x(t-12)$ $x(t+12)$ $x(t-2)$ $x(t+2)$
Convolution of $x(t+5)$ with impulse function $\delta(t-7)$ is equal to$x(t-12)$$x(t+12)$$x(t-2)$$x(t+2)$
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640
GATE ECE 2002 | Question: 1.4
Which of the following cannot be the Fourier series expansion of a periodic signal ? $x(t)=2 \cos t+3 \cos 3 t$ $x(t)=2 \cos \pi t+7 \cos t$ $x(t)=\cos t+0.5$ $x(t)=2 \cos 1.5 \pi t+\sin 3.5 \pi t$
Which of the following cannot be the Fourier series expansion of a periodic signal ?$x(t)=2 \cos t+3 \cos 3 t$$x(t)=2 \cos \pi t+7 \cos t$$x(t)=\cos t+0.5$$x(t)=2 \cos 1....
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