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521
GATE ECE 1999 | Question 1.13
The resolution of a $4$ - bit counting $\text{ADC}$ is $0.5$ volts. For an analog input of $6.6$ volts, the digital output of the $\text{ADC}$ will be $1011$ $1101$ $1100$ $1110$
The resolution of a $4$ - bit counting $\text{ADC}$ is $0.5$ volts. For an analog input of $6.6$ volts, the digital output of the $\text{ADC}$ will be$1011$$1101$$1100$$1...
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522
GATE ECE 1999 | Question 1.14
For a second-order system with the closed-loop transfer function \[T(s)=\frac{9}{s^{2}+4 s+9}\] the settling time for $2$ - percent band, in seconds, is $1.5$ $2.0$ $3.0$ $4.0$
For a second-order system with the closed-loop transfer function\[T(s)=\frac{9}{s^{2}+4 s+9}\]the settling time for $2$ - percent band, in seconds, is$1.5$$2.0$$3.0$$4.0$...
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523
GATE ECE 1999 | Question 1.15
The gain margin (in $d \mathrm{B}$ ) of a system a having the loop transfer function \[\mathrm{G}(s) \mathrm{H}(s)=\frac{\sqrt{2}}{s(s+1)} \text { is }\] $0$ $3$ $6$ $\infty$
The gain margin (in $d \mathrm{B}$ ) of a system a having the loop transfer function\[\mathrm{G}(s) \mathrm{H}(s)=\frac{\sqrt{2}}{s(s+1)} \text { is }\]$0$$3$$6$$\infty$
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525
GATE ECE 1999 | Question 1.17
The phase margin (in degrees) of a system having the loop transfer function \[ \mathrm{G}(s) \mathrm{H}(s)=\frac{2 \sqrt{3}}{s(s+1)} \text { is } \] $45^{\circ}$ $-30^{\circ}$ $60^{\circ}$ $30^{\circ}$
The phase margin (in degrees) of a system having the loop transfer function\[\mathrm{G}(s) \mathrm{H}(s)=\frac{2 \sqrt{3}}{s(s+1)} \text { is }\]$45^{\circ}$$-30^{\circ}$...
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526
GATE ECE 1999 | Question 1.18
A signal $x(t)$ has a Fourier transform $X(\omega)$. If $x(t)$ is a real and odd function of $t$, then $X(\omega)$ is a real and even function of $\omega$ a imaginary and odd function of $\omega$ an imaginary and even function of $\omega$ a real and odd function of $\omega$
A signal $x(t)$ has a Fourier transform $X(\omega)$. If $x(t)$ is a real and odd function of $t$, then $X(\omega)$ isa real and even function of $\omega$a imaginary and o...
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530
GATE ECE 1999 | Question 1.22
An electric field on a plane is described by its potential \[\mathrm{V}=20\left(r^{-1}+r^{-2}\right)\] where $r$ is the distance from the source. The field is due to a monopole a dipole both a monopole and a dipole a quadrupole
An electric field on a plane is described by its potential\[\mathrm{V}=20\left(r^{-1}+r^{-2}\right)\]where $r$ is the distance from the source. The field is due toa monop...
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531
GATE ECE 1999 | Question 1.23
Assuming perfect conductors of a transmission line, pure $\text{TEM}$ propagation is $\text{NOT}$ possible in coaxial cable air-filled cylindrical waveguide parallel twin-wire line in air semi-infinite parallel plate wave guide
Assuming perfect conductors of a transmission line, pure $\text{TEM}$ propagation is $\text{NOT}$ possible incoaxial cableair-filled cylindrical waveguideparallel twin-wi...
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532
GATE ECE 1999 | Question 1.24
Indicate which one of the following will $\text{NOT}$ exist in a rectangular resonant cavity. $\mathrm{TE}_{110}$ $\mathrm{TE}_{011}$ $\mathrm{TM}_{110}$ $\mathrm{TM}_{111}$
Indicate which one of the following will $\text{NOT}$ exist in a rectangular resonant cavity.$\mathrm{TE}_{110}$$\mathrm{TE}_{011}$$\mathrm{TM}_{110}$$\mathrm{TM}_{111}$
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533
GATE ECE 1999 | Question 1.25
Identify which one of the following will $\text{NOT}$ satisfy the wave equation. $50 \; e^{f(\omega t-3 z)}$ $\sin [\omega(10 z+5 t)]$ $\cos \left(y^{2}+5 t\right)$ $\sin (x) \cos (t)$
Identify which one of the following will $\text{NOT}$ satisfy the wave equation.$50 \; e^{f(\omega t-3 z)}$$\sin [\omega(10 z+5 t)]$$\cos \left(y^{2}+5 t\right)$$\sin (x)...
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535
GATE ECE 1999 | Question 2.2
The Thevenin equivalent voltage $\mathrm{V}_{\mathrm{TH}}$ appearing between the terminals $A$ and $B$ of the network shown in the given figure is given by $j 16(3-j 4)$ $j 16(3+j 4)$ $16(3+j 4)$ $16(3-j 4)$
The Thevenin equivalent voltage $\mathrm{V}_{\mathrm{TH}}$ appearing between the terminals $A$ and $B$ of the network shown in the given figure is given by$j 16(3-j 4)$$j...
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536
GATE ECE 1999 | Question 2.3
The value of $R$ (in ohms) required for maximum power transfer in the network shown in the given figure $2$ $4$ $8$ $16$
The value of $R$ (in ohms) required for maximum power transfer in the network shown in the given figure$2$$4$$8$$16$
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537
GATE ECE 1999 | Question 2.4
A Delta-connected network with its Wye-equivalent is shown in the given figure is. The resistances $R_{1}, R_{2}$ and $R_{3}$ (in ohms) are respectively $1.5,3$ and $9$ $3,9$ and $1.5$ $9,3$ and $1.5$ $3,1.5$ and $9$
A Delta-connected network with its Wye-equivalent is shown in the given figure is. The resistances $R_{1}, R_{2}$ and $R_{3}$ (in ohms) are respectively$1.5,3$ and $9$$3,...
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538
GATE ECE 1999 | Question 2.5
An $n$-channel $\text{JEFT}$ has $\mathrm{I}_{\mathrm{DSS}}=2 \mathrm{~mA}$ and $\mathrm{V}_{p}=-4 \mathrm{~V}$. Its transconductance $\mathrm{gm}$ (in milliohm) for an applied gate-to-source voltage $\mathrm{V}_{\mathrm{GS}}$ of $-2 \mathrm{~V}$ is $0.25$ $0.5$ $0.75$ $1.0$
An $n$-channel $\text{JEFT}$ has $\mathrm{I}_{\mathrm{DSS}}=2 \mathrm{~mA}$ and $\mathrm{V}_{p}=-4 \mathrm{~V}$. Its transconductance $\mathrm{gm}$ (in milliohm) for an a...
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542
GATE ECE 1999 | Question 2.9
An amplifier is assumed to have a single-pole high-frequency transfer function. The rise time of its output response to a step function input is $35\;\text{nsec}$. The upper $-3 \; d B$ frequency (in $\text{MHz}$) for the amplifier to a sinusoidal input is approximately at $4.55$ $10$ $20$ $28.6$
An amplifier is assumed to have a single-pole high-frequency transfer function. The rise time of its output response to a step function input is $35\;\text{nsec}$. The up...
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544
GATE ECE 1999 | Question 2.11
For a binary half-subtractor having two inputs $\text{A}$ and $\text{B}$, the correct set of logical expressions for the outputs $\text{D}$ ( = $\text{A}$ minus $\text{B}$ ) and $\text{X}(=$ ... $\mathrm{D}=\mathrm{AB}+\overline{\mathrm{A}} \overline{\mathrm{B}}, \mathrm{X}=\mathrm{A} \overline{\mathrm{B}}$
For a binary half-subtractor having two inputs $\text{A}$ and $\text{B}$, the correct set of logical expressions for the outputs $\text{D}$ ( = $\text{A}$ minus $\text{B}...
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545
GATE ECE 1999 | Question 2.12
The ripple counter shown in the given figure is works as a $\bmod -3$ up counter $\bmod -5$ up counter $\bmod - 3$ down counter $\bmod - 5$ down counter
The ripple counter shown in the given figure is works as a$\bmod -3$ up counter$\bmod -5$ up counter$\bmod - 3$ down counter$\bmod - 5$ down counter
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550
GATE ECE 1999 | Question 2.17
The $z$-transform of a signal is given by \[C(z)=\frac{1 z^{-1}\left(1-z^{-4}\right)}{4\left(1-z^{-1}\right)^{2}}\] Its final value is $1 / 4$ zero $1.0$ infinity
The $z$-transform of a signal is given by\[C(z)=\frac{1 z^{-1}\left(1-z^{-4}\right)}{4\left(1-z^{-1}\right)^{2}}\]Its final value is$1 / 4$zero$1.0$infinity
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551
GATE ECE 1999 | Question 2.18
The Nyquist sampling frequency (in $\mathrm{Hz}$ ) of a signal given by $6 \times 10^{4} \sin c^{2}(400 t)^{*} 10^{6} \sin c^{3}(100 t)$ is $200$ $300$ $500$ $1000$
The Nyquist sampling frequency (in $\mathrm{Hz}$ ) of a signal given by$6 \times 10^{4} \sin c^{2}(400 t)^{*} 10^{6} \sin c^{3}(100 t)$ is$200$$300$$500$$1000$
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552
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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553
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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554
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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555
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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557
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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558
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 $\overr...
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559
GATE ECE 1999 | Question: 3
In the circuit of the the switch '$\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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560
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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