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Recent questions tagged gate2002-ec

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GATE ECE 2002 | Question: 2.16
The characteristic polynomial of a system is $q(s)=2 s^{5}+s^{4}+4 s^{3}+2 s^{2}+2 s+1$. The system is stable marginally stable unstable oscillatory
The characteristic polynomial of a system is $q(s)=2 s^{5}+s^{4}+4 s^{3}+2 s^{2}+2 s+1$. The system isstablemarginally stableunstableoscillatory
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GATE ECE 2002 | Question: 2.17
The system with the open loop transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)=\frac{1}{s\left(s^{2}+s+1\right)}$ has a gain margin of $-6 \mathrm{~dB}$ $0 \mathrm{~dB}$ $3.5 \mathrm{~dB}$ $6 \mathrm{~dB}$
The system with the open loop transfer function $\mathrm{G}(\mathrm{s}) \mathrm{H}(s)=\frac{1}{s\left(s^{2}+s+1\right)}$ has a gain margin of$-6 \mathrm{~dB}$$0 \mathrm{~...
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GATE ECE 2002 | Question: 2.21
If the variance $\sigma_{x}^{2}$ of $d(n)=x(n)-x(n-1)$ is one-tenth the variance $\sigma_{x}^{2}$ of a stationary zero-mean discrete-time signal $x(n)$, then the normalized autocorrelation function $R_{x x}(k) / \sigma_{x}^{2}$ at $k=1$ is $0.95$ $0.90$ $0.10$ $0.05$
If the variance $\sigma_{x}^{2}$ of $d(n)=x(n)-x(n-1)$ is one-tenth the variance $\sigma_{x}^{2}$ of a stationary zero-mean discrete-time signal $x(n)$, then the normaliz...
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GATE ECE 2002 | Question: 2.22
A plane wave is characterized by $\overline{\mathrm{E}}=\left(0.5 \hat{x}+\hat{y} e^{jz} / 2 \right)e^{jzet – jkz}.$ This wave is linearly polarized circularly polarized elliptically polarized unpolarized
A plane wave is characterized by $\overline{\mathrm{E}}=\left(0.5 \hat{x}+\hat{y} e^{jz} / 2 \right)e^{jzet – jkz}.$ This wave islinearly polarizedcircularly polarizede...
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GATE ECE 2002 | Question: 2.23
Distilled water at $25^{\circ} \mathrm{C}$ is characterized by $\sigma=1.7 \times 10^{-1} \mathrm{mho} / \mathrm{m}$ and $\epsilon=78 \; \epsilon_{0}$ at a frequency of $3 \; \mathrm{GHz}.$ Its loss tangent $\tan\delta$ is $1.3 \times 10^{-5}$ ... $\left(\epsilon=10^{-9} /(36 \pi) \mathrm{F} / \mathrm{m}\right)$
Distilled water at $25^{\circ} \mathrm{C}$ is characterized by $\sigma=1.7 \times 10^{-1} \mathrm{mho} / \mathrm{m}$ and $\epsilon=78 \; \epsilon_{0}$ at a frequency of $...
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GATE ECE 2002 | Question: 2.25
A person with a receiver is $5 \; \mathrm{Km}$ away from the transmitter. What is the distance that this person must move further to detect a $3-d B$ decrease in signal strength? $942 \mathrm{~m}$ $2070 \mathrm{~m}$ $4978 \mathrm{~m}$ $5320 \mathrm{~m}$
A person with a receiver is $5 \; \mathrm{Km}$ away from the transmitter. What is the distance that this person must move further to detect a $3-d B$ decrease in signal s...
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GATE ECE 2002 | Question: 5
Consider the network in the figure is. Find its short-circuit admittance parameters. Find the open-circuit impedance $Z_{22}$.
Consider the network in the figure is. Find its short-circuit admittance parameters.Find the open-circuit impedance $Z_{22}$.
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GATE ECE 2002 | Question: 6
A triangular voltage waveform $V_{i}(t)$ first figure applied at the input to the circuit of second figure. Assume the diodes to be ideal. Determine the output $\mathrm{V}_{0}(t)$. Neatly sketch the output waveform superimposed on the input $V_{i}(t)$ and label the key points.
A triangular voltage waveform $V_{i}(t)$ first figure applied at the input to the circuit of second figure. Assume the diodes to be ideal. Determine the output $\mathrm{V...
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GATE ECE 2002 | Question: 7
The given figure shows $2$-stage amplifier. The transistors $\mathrm{Q}_{1}$ and $\mathrm{Q}_{2}$ are identical with current gain $\beta=100$; further $\beta_{\text {dc }}=\beta_{a c}=\beta$. The zener diode $D_{z}$ ... $\text{V}_{\text{T}}=25 \mathrm{mV}$ )
The given figure shows $2$-stage amplifier. The transistors $\mathrm{Q}_{1}$ and $\mathrm{Q}_{2}$ are identical with current gain $\beta=100$; further $\beta_{\text {dc }...
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GATE ECE 2002 | Question: 8
Consider the circuit of the figure is. The $\text{op amp}$ used is ideal. In which mode is the $\text{BJT}$ operating (i.e. active, saturation or cut off)? Justify your answer. Obtain an expression relating the output current $\mathrm{I}_0$ ... $\beta=99$ and $\mathrm{V}_{\mathrm{BE}}=0.7 \mathrm{~V}$ )
Consider the circuit of the figure is. The $\text{op amp}$ used is ideal.In which mode is the $\text{BJT}$ operating (i.e. active, saturation or cut off)? Justify your an...
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GATE ECE 2002 | Question: 12
An $8085$ microprocessor operating at $5 \; \mathrm{MHz}$ ... states are introduced in the $I/O$ WRITE machine cycle, determine the time interval between two consecutive $\overline{\text{MEMW}}$ signals.
An $8085$ microprocessor operating at $5 \; \mathrm{MHz}$ clock frequency executes the following routine.$\begin{array}{lll} {\text{START:}} & \text{MOVE} & \text{A,B} \\...
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GATE ECE 2002 | Question: 14
The Nyquist plot of an all-pole second order open-loop system is shown in the figure is. Obtain the transfer function of the system.
The Nyquist plot of an all-pole second order open-loop system is shown in the figure is. Obtain the transfer function of the system.
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GATE ECE 2002 | Question: 15
The block diagram of a linear time invariant system is given in the figure is Write down the state variable equations for the system in matrix form assuming the state vector to be $\left[x_{1}(t) x_{2}(t)\right]^{\mathrm{T}}$ ... $t=0$ are $x_{1}(0)=1$, and $x_{2}(0)=1.$
The block diagram of a linear time invariant system is given in the figure isWrite down the state variable equations for the system in matrix form assuming the state vect...
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GATE ECE 2002 | Question: 21
Consider a parallel plate waveguide with plate separation $d$ ... current densities $\vec{j}_{s}$ on the same plates. Prove that $p_s$ and $\vec{j}_s$ satisfy the current continuity condition.
Consider a parallel plate waveguide with plate separation $d$ as shown in the figure electric and magnetic fields for the TEM-mode are given by$\begin{array}{l}\mathrm{E}...
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