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565
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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566
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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567
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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569
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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570
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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571
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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572
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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575
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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578
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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580
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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582
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}$$0.05 \; \mathrm{mho}$
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583
GATE ECE 2001 | Question: 1.5
The region of convergence of the $z$-transform of a unit step function is $|z|>1$ $|z|<1$ (Real part of $z)>0$ ( Real part of $z)<0$
The region of convergence of the $z$-transform of a unit step function is$|z|>1$$|z|<1$(Real part of $z)>0$( Real part of $z)<0$
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584
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}$$\frac{g_{m}}{r_{\pi}}$
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585
GATE ECE 2001 | Question: 1.7
MOSFET can be used as a current controlled capacitor voltage controlled capacitor current controlled inductor voltage controlled inductor
MOSFET can be used as acurrent controlled capacitorvoltage controlled capacitorcurrent controlled inductorvoltage controlled inductor
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586
GATE ECE 2001 | Question: 1.8
The effective channel length of a MOSFET in saturation decreases with increase in gate voltage drain voltage source voltage body voltage
The effective channel length of a MOSFET in saturation decreases with increase ingate voltagedrain voltagesource voltagebody voltage
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588
GATE ECE 2001 | Question: 1.10
The $2$'s complement representation of $-17$ is $01110$ $01111$ $11110$ $10001$
The $2$'s complement representation of $-17$ is$01110$$01111$$11110$$10001$
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590
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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591
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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592
GATE ECE 2001 | Question: 1.14
The equivalent of the block diagram in the figure, given in
The equivalent of the block diagram in the figure, given in
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593
GATE ECE 2001 | Question: 1.15
If the characteristic equation of a closed-loop system is $s^{2}+2 s+2=0$, then the system is overdamped critically damped underdamped undamped
If the characteristic equation of a closed-loop system is $s^{2}+2 s+2=0$, then the system isoverdampedcritically dampedunderdampedundamped
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594
GATE ECE 2001 | Question: 1.16
The root-locus diagram for a closed-loop feedback system is shown in the figure is. The system is overdamped. only if $0 \leq \mathrm{K} \leq 1$ only if $1 < \text{K} < 5$ only if $\mathrm{K} > 5$ if $0 \leq \text{K} < 1$ or $\text{K} > 5$
The root-locus diagram for a closed-loop feedback system is shown in the figure is. The system is overdamped.only if $0 \leq \mathrm{K} \leq 1$only if $1 < \text{K} < 5$o...
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595
GATE ECE 2001 | Question: 1.17
The Nyquist plot for the open-loop transfer function $G(s)$ of a unity negative feedback system is shown in the figure, if $G(s)$ has no pole in the right-half of $s$-plane, the number of roots of the system characteristic equation in the right-half of $s$-plane is $0$ $1$ $2$ $3$
The Nyquist plot for the open-loop transfer function $G(s)$ of a unity negative feedback system is shown in the figure, if $G(s)$ has no pole in the right-half of $s$-pla...
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596
GATE ECE 2001 | Question: 1.18
Let $\delta(t)$ denote the delta function. The value of the integral $\int_{-\infty}^{\infty} \delta(t) \cos \left(\frac{3 t}{2}\right) d t$ is $1$ $-1$ $0$ $\frac{\pi}{2}$
Let $\delta(t)$ denote the delta function. The value of the integral $\int_{-\infty}^{\infty} \delta(t) \cos \left(\frac{3 t}{2}\right) d t$ is$1$$-1$$0$$\frac{\pi}{2}$
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597
GATE ECE 2001 | Question: 1.19
A bandlimited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples through an RC filter an envelope detector a PLL an ideal low-pass filter with the appropriate bandwidth.
A bandlimited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples throughan RC filteran envelope detectora PLLan ideal low-pass filt...
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598
GATE ECE 2001 | Question: 1.20
The PDF of a Gaussian random variable $X$ is given by $\operatorname{Px}(x)=\frac{1}{3 \sqrt{2 \pi}} e^{\frac{-(x-4)^{2}}{18}}$ The probability of the event $\{X=4\}$ is $\frac{1}{2}$ $\frac{1}{3 \sqrt{2 \pi}}$ $0$ $\frac{1}{4}$
The PDF of a Gaussian random variable $X$ is given by $\operatorname{Px}(x)=\frac{1}{3 \sqrt{2 \pi}} e^{\frac{-(x-4)^{2}}{18}}$ The probability of the event $\{X=4\}$ is$...
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599
GATE ECE 2001 | Question: 1.21
If a signal $f(t)$ has energy $E$, the energy of the signal $f(2 t)$ is equal to $\text{E}$ $\frac{\mathrm{E}}{2}$ $2 \mathrm{E}$ $4 \mathrm{E}$
If a signal $f(t)$ has energy $E$, the energy of the signal $f(2 t)$ is equal to$\text{E}$$\frac{\mathrm{E}}{2}$$2 \mathrm{E}$$4 \mathrm{E}$
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600
GATE ECE 2001 | Question: 1.22
A transmission line is distortionless if $\mathrm{RL}=\frac{1}{\mathrm{GC}}$ $\mathrm{RL}=\mathrm{GC}$ $\mathrm{LG}=\mathrm{RC}$ $\mathrm{RG}=\mathrm{LC}$
A transmission line is distortionless if$\mathrm{RL}=\frac{1}{\mathrm{GC}}$$\mathrm{RL}=\mathrm{GC}$$\mathrm{LG}=\mathrm{RC}$$\mathrm{RG}=\mathrm{LC}$
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