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2561
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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2562
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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2564
GATE ECE 1998 | Question 2.20
Flat top sampling of low pass signals gives rise to aperture effect implies oversampling leads to aliasing introduces delay distortion
Flat top sampling of low pass signalsgives rise to aperture effectimplies oversamplingleads to aliasingintroduces delay distortion
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2565
GATE ECE 2005 | Question: 47
The voltage $e_{0}$ indicated in the figure has been measured by an ideal voltmeter. Which of the following can be calculated? Bias current of the inverting input only Bias current of the inverting and non-inverting inputs only Input offset current only Both the bias currents and the input offset current.
The voltage $e_{0}$ indicated in the figure has been measured by an ideal voltmeter. Which of the following can be calculated?Bias current of the inverting input onlyBias...
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2566
GATE ECE 1995 | Question 1.4
The $\text{RMS}$ value of a rectangular wave of period $T$, having a value of $+V$ for a duration, $T_1(<T)$ and $-V$ for the duration, $T-T_1=T_2$, equals $\mathrm{V}$ $\frac{\mathrm{T}_1-\mathrm{T}_2}{\mathrm{~T}} \mathrm{~V}$ $\frac{\mathrm{V}}{\sqrt{2}}$ $\frac{\mathrm{T}_1}{\mathrm{~T}_2} \mathrm{~V}$
The $\text{RMS}$ value of a rectangular wave of period $T$, having a value of $+V$ for a duration, $T_1(<T)$ and $-V$ for the duration, $T-T_1=T_2$, equals$\mathrm{V}$$\f...
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2567
GATE ECE 1996 | Question 2.14
The following sequence of instructions are executed by an $8085$ microprocessor: $\begin{matrix} 1000 &LXI & SP &27 \; FF \\ 1000 &CALL & & 1006\\ 1006 &POP \; H & & \end{matrix}$ ... $\mathrm{SP}=27 \; \mathrm{FF}, \mathrm{HL}=1006$ $\mathrm{SP}=27 \; \mathrm{FD}, \mathrm{HL}=1006$
The following sequence of instructions are executed by an $8085$ microprocessor:$\begin{matrix}1000 &LXI & SP &27 \; FF \\ 1000 &CALL & & 1006\\ 1006 &POP \; H & & \...
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2570
GATE ECE 2007 | Question: 14
The Boolean function $Y=A B+C D$ is to be realized using only $2$ -input NAND gates. The minimum number of gates required is $2$ $3$ $4$ $5$
The Boolean function $Y=A B+C D$ is to be realized using only $2$ -input NAND gates. The minimum number of gates required is$2$$3$$4$$5$
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2571
GATE ECE 1993 | Question 6.15
A pulse train with a frequency of $1 \; \mathrm{MHz}$ is counted using a modulo $1024$ ripple-counter built with $\text{JK}$ flip flops. For proper operation of the counter, the maximum permissible propagation delay per flip flop stage is $ \dots n \mathrm{Sec}$.
A pulse train with a frequency of $1 \; \mathrm{MHz}$ is counted using a modulo $1024$ ripple-counter built with $\text{JK}$ flip flops. For proper operation of the count...
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2572
GATE ECE 2009 | Question: 23
If a vector field $ \displaystyle{} \vec{V}$ is related to another vector field $ \displaystyle{} \vec{A}$ through $ \displaystyle{} \vec{V}=\nabla \times \vec{A}$, which of the following is true ? Note: $C$ and $S_{C}$ refer to any closed contour and ...
If a vector field $ \displaystyle{} \vec{V}$ is related to another vector field $ \displaystyle{} \vec{A}$ through $ \displaystyle{} \vec{V}=\nabla \times \vec{A}$, which...
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2573
GATE ECE 2010 | Question: 10
Assuming the $\text{OP-AMP}$ to be ideal. the voltage gain of the amplifier shown below is $-\frac{\mathrm{R}_2}{\mathrm{R}_1}$ $-\frac{\mathrm{R}_3}{\mathrm{R}_1}$ $-\left(\frac{\mathrm{R}_2 \| \mathrm{R}_3}{\mathrm{R}_1}\right)$ $-\left(\frac{\mathrm{R}_2+\mathrm{R}_3}{\mathrm{R}_1}\right)$
Assuming the $\text{OP-AMP}$ to be ideal. the voltage gain of the amplifier shown below is$-\frac{\mathrm{R}_2}{\mathrm{R}_1}$$-\frac{\mathrm{R}_3}{\mathrm{R}_1}$$-\left(...
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2574
GATE ECE 2010 | Question: 23
A transmission line has a characteristic impedance of $50 \; \Omega$ and a resistance of $0.1 \; \Omega / \mathrm{m}$. If the line is distortionless, the attenuation constant (in $\mathrm{Np/m})$ is $500$ $5$ $0.014$ $0.002$
A transmission line has a characteristic impedance of $50 \; \Omega$ and a resistance of $0.1 \; \Omega / \mathrm{m}$. If the line is distortionless, the attenuation cons...
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2578
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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2579
GATE ECE 1998 | Question 2.14
For small signal $a.c$. operation, a practical forward biased diode can be modelled as a resistance and a capacitance in series an ideal diode and resistance in parallel a resistance and an ideal diode in series a resistance
For small signal $a.c$. operation, a practical forward biased diode can be modelled asa resistance and a capacitance in seriesan ideal diode and resistance in parallela r...
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2580
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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2582
GATE ECE 1995 | Question 1.36
The image (second) channel selectivity of a super beterodync communication receiver is determined by antenna and preselector the preselector and $\text{RF}$ amplifier the preselector and $\text{IF}$ amplifier the $\text{RF}$ and $\text{IF}$ amplifier
The image (second) channel selectivity of a super beterodync communication receiver is determined byantenna and preselectorthe preselector and $\text{RF}$ amplifierthe pr...
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2583
GATE ECE 1995 | Question 1.40
A $\text{PAM}$ signal can be detected by using an $\text{ADC}$ an integrator a band pass filter a high pass filter
A $\text{PAM}$ signal can be detected by usingan $\text{ADC}$an integratora band pass filtera high pass filter
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2584
GATE ECE 2006 | Question: 63
The diagonal clipping in Amplitude Demodulation (using envelope detector) can be avoided if RC time-constant of the envelope detector satisfies the following condition, (here $W$ is message bandwidth and $\omega_{c}$ ... $\mathrm{RC}<\frac{1}{\omega_{c}}$ $\mathrm{RC}>\frac{1}{\omega_{c}}$
The diagonal clipping in Amplitude Demodulation (using envelope detector) can be avoided if RC time-constant of the envelope detector satisfies the following condition, (...
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2585
GATE ECE 2007 | Question: 25
The equation $x^{3}-x^{2}+4 x-4=0$ is to be solved using the Newton-Raphson method. If $x=2$ is taken as the initial approximation of the solution, then the next approximation using this method will be $\frac{2}{3}$ $\frac{4}{3}$ $1$ $\frac{3}{2}$
The equation $x^{3}-x^{2}+4 x-4=0$ is to be solved using the Newton-Raphson method. If $x=2$ is taken as the initial approximation of the solution, then the next approxim...
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2586
GATE ECE 2007 | Question: 52
A control system with a $\text{PD}$ controller is shown in the figure. If the velocity error constant $K_{v}=1000$ and the damping ratio $\zeta=0.5$, then the values of $K_{P}$ and $K_{D}$ are $K_{P}=100, K_{D}=0.09$ $K_{P}=100, K_{D}=0.9$ $K_{P}=10, K_{D}=0.09$ $K_{P}=10, K_{D}=0.9$
A control system with a $\text{PD}$ controller is shown in the figure. If the velocity error constant $K_{v}=1000$ and the damping ratio $\zeta=0.5$, then the values of $...
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2587
GATE ECE 1993 | Question 6.20
A superheterodyne radio receiver with an intermediate frequency of $455 \; \mathrm{KHz}$ is tuned to a station operating at $1200 \; \mathrm{KHz}$. The associated image frequency is $\dots \text{KHz}$.
A superheterodyne radio receiver with an intermediate frequency of $455 \; \mathrm{KHz}$ is tuned to a station operating at $1200 \; \mathrm{KHz}$. The associated image f...
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2588
GATE ECE 2010 | Question: 2
The trigonometric Fourier series for the waveform $f(t)$ shown below contains only cosine terms and zero value for the $dc$ component only cosine terms and a positive value for the $dc$ component only cosine terms and a negative value for the $dc$ component only sine terms and a negative value for the $dc$ component
The trigonometric Fourier series for the waveform $f(t)$ shown below containsonly cosine terms and zero value for the $dc$ componentonly cosine terms and a positive value...
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2589
GATE ECE 2010 | Question: 24
Consider the pulse shape $s(t)$ as shown. The impulse response $h(t)$ of the filter matched to this pulse is ​​​​​​​
Consider the pulse shape $s(t)$ as shown. The impulse response $h(t)$ of the filter matched to this pulse is ​​​​​​​
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2590
GATE ECE 2010 | Question: 42
The transfer function of a discrete time $\text{LTI}$ system is given by $H(z)=\frac{2-\frac{3}{4} z^{-1}}{1-\frac{3}{4} z^{-1}+\frac{1}{8} z^{-2}}$ Consider the following statements: $\text{S1:}$ ... $\mathrm{S} 3$ are true Both $\text{S1}$ and $\text{S3}$ are true $\text{S1, S2}$ and $\text{S3}$ are all true
The transfer function of a discrete time $\text{LTI}$ system is given by$$H(z)=\frac{2-\frac{3}{4} z^{-1}}{1-\frac{3}{4} z^{-1}+\frac{1}{8} z^{-2}}$$Consider the followin...
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2591
GATE ECE 1992 | Question 1.27
The following program is run on $8085$ ... $8085$ contains _________ and the Stack Pointeer contains ___________.
The following program is run on $8085$ microprocessor :$\begin{array}{cc}\text { Memory Address in hex } & \text { Instruction } \\ 2000 & \text { LXI SP, 1000 } \\ 2003 ...
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2593
GATE ECE 2000 | Question 13
The figure shows a common base amplifier. (a) Write expressions for the time-constants associated with the capacitors, $C_{B}$ and $C_{S}$. (b) What is the approximate lower cut-off frequency of the amplifier?
The figure shows a common base amplifier.(a) Write expressions for the time-constants associated with the capacitors, $C_{B}$ and $C_{S}$.(b) What is the approximate lowe...
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2594
GATE ECE 2001 | Question: 4
The circuit shown in the figure, operating in steady-state with switch $S_{1}$ closed. The switch $S_{1}$ is opened at $t=0$ Find $i_{\mathrm{L}}\left(0^{+}\right)$. Find $e_1\left(0^{+}\right)$. Using nodal equations and Laplace transform approach, find an expression for the voltage across the capacitor for all $t>0$.
The circuit shown in the figure, operating in steady-state with switch $S_{1}$ closed. The switch $S_{1}$ is opened at $t=0$Find $i_{\mathrm{L}}\left(0^{+}\right)$.Find $...
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2597
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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2598
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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2600
GATE ECE 2003 | Question: 85
If the electric field intensity is given by \[\mathrm{E}=\left(x u_{x}+y u_{y}+z u_{z}\right) \text { volt } / \mathrm{m} \text {, }\] the potential difference between $X(2,0,0)$ and $Y(1,2,3)$ is $+1$ volt $-1$ volt $+5$ volt $+6$ volt
If the electric field intensity is given by\[\mathrm{E}=\left(x u_{x}+y u_{y}+z u_{z}\right) \text { volt } / \mathrm{m} \text {, }\]the potential difference between $X(2...
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