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361
GATE ECE 1999 | Question 2.19
The peak-to-peak input to an $8$-bit $\text{PCM}$ coder is $2$ volts. The signal power-to-quantization noise power ratio (in $d\text{B}$) for an input of $0.5 \cos \left(\omega_{m} t\right)$ is $47.8$ $49.8$ $95.6$ $99.6$
The peak-to-peak input to an $8$-bit $\text{PCM}$ coder is $2$ volts. The signal power-to-quantization noise power ratio (in $d\text{B}$) for an input of $0.5 \cos \left(...
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362
GATE ECE 1999 | Question 2.20
The input to a matched filter is given by $s(t) = \left\{\begin{matrix} 10\\ 0 \end{matrix}\right. \begin{array}{ll} \sin \left(2 \pi \times 10^{6} t\right) & 0<1<10^{-4} \mathrm{sec} \\ & \text{otherwise} \end{array}$ The peak amplitude of the filter output is $10$ volts $5$ volts $10$ millivolts $5$ millivolts
The input to a matched filter is given by$s(t) = \left\{\begin{matrix} 10\\ 0 \end{matrix}\right. \begin{array}{ll} \sin \left(2 \pi \times 10^{6} t\right) & 0<1<10^{-4} ...
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363
GATE ECE 1999 | Question 2.21
Four independent messages have bandwidths of $100 \mathrm{~Hz}, 200 \mathrm{~Hz}$, and $400 \mathrm{~Hz}$, respectively. Each is sampled at the Nyquist rate, and the samples are time division multiplexed ($\text{TDM}$) and transmitted. The transmitted sample rate (in $\mathrm{Hz}$ ) is $1600$ $800$ $400$ $200$
Four independent messages have bandwidths of $100 \mathrm{~Hz}, 200 \mathrm{~Hz}$, and $400 \mathrm{~Hz}$, respectively. Each is sampled at the Nyquist rate, and the samp...
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364
GATE ECE 1999 | Question 2.22
In a twin-wire transmission line in air, the adjacent voltage maxima are at $12.5 \mathrm{~cm}$ and $27.5 \mathrm{~cm}$. The operating frequency is $300 \; \mathrm{MHz}$ $1 \; \mathrm{GHz}$ $2 \; \mathrm{GHz}$ $6.28 \; \mathrm{GHz}$
In a twin-wire transmission line in air, the adjacent voltage maxima are at $12.5 \mathrm{~cm}$ and $27.5 \mathrm{~cm}$. The operating frequency is$300 \; \mathrm{MHz}$$1...
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366
GATE ECE 1999 | Question 2.24
In air, a lossless transmission line of length $50 \mathrm{~cm}$ with $\mathrm{L}=10 \; \mu \mathrm{H} / \mathrm{m}, \mathrm{C}=40 \; \mathrm{pF} / \mathrm{m}$ is operated at $25 \; \mathrm{MHz}$. Its electrical path length is $0.5$ meters $\lambda$ meters $\pi / 2$ radians $180$ degrees
In air, a lossless transmission line of length $50 \mathrm{~cm}$ with $\mathrm{L}=10 \; \mu \mathrm{H} / \mathrm{m}, \mathrm{C}=40 \; \mathrm{pF} / \mathrm{m}$ is operate...
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367
GATE ECE 1999 | Question 2.25
A plane wave propagating through a medium $\left[\varepsilon_{\mathrm{r}}=8, v_{\mathrm{r}}=2\right.$, and $\left.\sigma=0\right]$ ... $377$ $198.5 \angle 180^{\circ}$ $182.9 \angle 14^{\circ}$ $133.3$
A plane wave propagating through a medium $\left[\varepsilon_{\mathrm{r}}=8, v_{\mathrm{r}}=2\right.$, and $\left.\sigma=0\right]$ has its electric field given by $\overr...
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368
GATE ECE 1999 | Question: 3
In the circuit of the the switch '$\text{S}$' has remained open for a long time. The switch closes instantaneously at $t=0$ Find $V_{0}$ for $t \leq 0$ and as $t \rightarrow \infty$ Write an expression for $V_{0}$ as function of time for $0 \leq t \leq \infty$ Evaluate $\mathrm{V}_{0}$ at $t=25 \; \mu \mathrm{sec}$.
In the circuit of the the switch '$\text{S}$' has remained open for a long time. The switch closes instantaneously at $t=0$Find $V_{0}$ for $t \leq 0$ and as $t \rightarr...
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369
GATE ECE 1999 | Question 4
For the network shown in the given figure is evaluate the current $I$ flowing through the $2 \; \Omega$ resistor using superposition theorem.
For the network shown in the given figure is evaluate the current $I$ flowing through the $2 \; \Omega$ resistor using superposition theorem.
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374
GATE ECE 1999 | Question 9
A transistor $\mathrm{LC}$ oscillator circuit is shown in the given figure. Assume that the transistor has very high $\beta$ (so that you may neglect $r_{d}$ ). Derive an equation governing the circuit operation, and find the frequency of oscillation. Also, state the gain condition required for oscillation to start.
A transistor $\mathrm{LC}$ oscillator circuit is shown in the given figure. Assume that the transistor has very high $\beta$ (so that you may neglect $r_{d}$ ). Derive an...
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375
GATE ECE 1999 | Question 10
In the $\text{CMOS}$ inverter circuit shown in the figure is the input Vi makes a transition from $\mathrm{V}_{\mathrm{OL}}(=0 \mathrm{~V})$ to $\mathrm{V}_{\mathrm{OH}}(=5 \mathrm{~V})$ ... $=20 \mu \mathrm{A} / \mathrm{V}^{2}, \quad \lambda=0$. Neglect body effect.
In the $\text{CMOS}$ inverter circuit shown in the figure is the input Vi makes a transition from $\mathrm{V}_{\mathrm{OL}}(=0 \mathrm{~V})$ to $\mathrm{V}_{\mathrm{OH}}(...
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376
GATE ECE 1999 | Question 11
The circuit diagram of a synchronous counter is shown in the given figure. Determine the sequence of states of the counter assuming that the initial state is '$000$ ... . From the table, determine the modulus of the counter.
The circuit diagram of a synchronous counter is shown in the given figure. Determine the sequence of states of the counter assuming that the initial state is '$000$'. Giv...
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378
GATE ECE 1999 | Question 13
An $8085$ ... carry and zero flags? the contents of the memory locations $2000$ $\mathrm{H}, 2001 \mathrm{H}, 2002 \mathrm{H}$, and $2100 \mathrm{H}$.
An $8085$ assembly language program is given below$\begin{array}{ll} & \text{ MVIC, 03H } \\ & \text { LXIH, 2000H } \\ \text { LOOP : } & \text { MOV A, M } \\ & \text {...
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379
GATE ECE 1999 | Question 14
The loop transfer function of a feedback control system is given by \[\mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}(s+1)}{s\left(1+\mathrm{T}_{S}\right)(1+2 s)}, \mathrm{K}>0\] Using Routh - Hurwitz criterion, determine the region of $\mathrm{K}-\mathrm{T}$ plane in which the closed - loop system is stable.
The loop transfer function of a feedback control system is given by\[\mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}(s+1)}{s\left(1+\mathrm{T}_{S}\right)(1+2 s)}, \mathrm{K}...
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380
GATE ECE 1999 | Question 15
The asymptotic Bode plot of the minimum phase open-loop transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)$ in as shown in the figure is Obtain the transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(\mathrm{s})$
The asymptotic Bode plot of the minimum phase open-loop transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)$ in as shown in the figure is Obtain the transfer function...
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381
GATE ECE 1999 | Question 16
Consider a feedback system with the open-loop transfer function, given by \[ \mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}}{s(2 s+1)} \] Examine the stability of the closed-loop system using Nyquist stability theory.
Consider a feedback system with the open-loop transfer function, given by\[\mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}}{s(2 s+1)}\]Examine the stability of the closed-lo...
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384
GATE ECE 1999 | Question 19
The power spectral density $\text{(PSD)}$ ... the bandpass representation for the output noise process, sketch the $\text{PSD}$ of the inphase and quadrature noise components, and determine their respective powers.
The power spectral density $\text{(PSD)}$ of a noise process is given by$\mathrm{S}_{\mathrm{N}}(f)=\left\{\begin{array}{cc}10^{-8}\left(1+\frac{|f|-10^8}{10^8}\right) & ...
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387
GATE ECE 1999 | Question 22
The average power of an omni directional antenna varies as the magnitude of $\cos \theta$, where $\theta$ is the azimuthal angle. Calculate the maximum Directive Gain of the antenna and the angles at which it occurs.
The average power of an omni directional antenna varies as the magnitude of $\cos \theta$, where $\theta$ is the azimuthal angle. Calculate the maximum Directive Gain of ...
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389
GATE ECE 2001 | Question: 1.2
If each branch of a Delta circuit has impedance $\sqrt{3} Z$, then each branch of the equivalent Wye circuit has impedance. $\frac{Z}{\sqrt{3}}$ $3 Z$ $3 \sqrt{3} \mathrm{Z}$ $\frac{Z}{3}$
If each branch of a Delta circuit has impedance $\sqrt{3} Z$, then each branch of the equivalent Wye circuit has impedance.$\frac{Z}{\sqrt{3}}$$3 Z$$3 \sqrt{3} \mathrm{Z}...
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391
GATE ECE 2001 | Question: 1.4
The admittance parameter $\mathrm{Y}_{12}$ in the $2$-port network in the figure, $-0.2 \; \mathrm{mho}$ $0.1 \; \mathrm{mho}$ $-0.05 \; \mathrm{mho}$ $0.05 \; \mathrm{mho}$
The admittance parameter $\mathrm{Y}_{12}$ in the $2$-port network in the figure,$-0.2 \; \mathrm{mho}$$0.1 \; \mathrm{mho}$$-0.05 \; \mathrm{mho}$$0.05 \; \mathrm{mho}$
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392
GATE ECE 2001 | Question: 1.5
The region of convergence of the $z$-transform of a unit step function is $|z|>1$ $|z|<1$ (Real part of $z)>0$ ( Real part of $z)<0$
The region of convergence of the $z$-transform of a unit step function is$|z|>1$$|z|<1$(Real part of $z)>0$( Real part of $z)<0$
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393
GATE ECE 2001 | Question: 1.6
The current gain of a BJT is $g_{m} r_{\circ}$ $\frac{g_{m}}{r_{\circ}}$ $g_{m} r_{\pi}$ $\frac{g_{m}}{r_{\pi}}$
The current gain of a BJT is$g_{m} r_{\circ}$$\frac{g_{m}}{r_{\circ}}$$g_{m} r_{\pi}$$\frac{g_{m}}{r_{\pi}}$
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394
GATE ECE 2001 | Question: 1.7
MOSFET can be used as a current controlled capacitor voltage controlled capacitor current controlled inductor voltage controlled inductor
MOSFET can be used as acurrent controlled capacitorvoltage controlled capacitorcurrent controlled inductorvoltage controlled inductor
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395
GATE ECE 2001 | Question: 1.8
The effective channel length of a MOSFET in saturation decreases with increase in gate voltage drain voltage source voltage body voltage
The effective channel length of a MOSFET in saturation decreases with increase ingate voltagedrain voltagesource voltagebody voltage
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397
GATE ECE 2001 | Question: 1.10
The $2$'s complement representation of $-17$ is $01110$ $01111$ $11110$ $10001$
The $2$'s complement representation of $-17$ is$01110$$01111$$11110$$10001$
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399
GATE ECE 2001 | Question: 1.12
For the ring oscillator shown in the figure, the propagation delay of each inverter is $100$ pico sec. What is the fundamental frequency of the oscillator output? $10 \; \mathrm{MHz}$ $100 \; \mathrm{MHz}$ $1 \; \mathrm{GHz}$ $2 \; \mathrm{GHz}$
For the ring oscillator shown in the figure, the propagation delay of each inverter is $100$ pico sec. What is the fundamental frequency of the oscillator output?$10 \; \...
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400
GATE ECE 2001 | Question: 1.13
An $8085$ microprocessor based system uses a $4 \mathrm{K} \times 8 \text{bit RAM}$ whose starting address is $\text{AA00 H}$. The address of the last byte in this $\text{RAM}$ is $\text{OFFF H}$ $1000 \; \mathrm{H}$ $\text{B9FF H}$ $\text{BAOO H}$
An $8085$ microprocessor based system uses a $4 \mathrm{K} \times 8 \text{bit RAM}$ whose starting address is $\text{AA00 H}$. The address of the last byte in this $\text...
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