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1761
GATE ECE 1991 | Question 1.23
In figure, the $n$-channel $\text{MOSFETs}$ are identical and their current voltage characteristics are given by the following expressions: For $V_{D S}, I_D=\left[\left(V_{G S}-1\right) V_{D S}-\frac{V^2 D S}{2}\right] m A$ ... and $I_0$ is the drain current. The current $I_{D C}$ flowing through the transistor ' $\mathrm{M}$ ' is equal to__________.
In figure, the $n$-channel $\text{MOSFETs}$ are identical and their current voltage characteristics are given by the following expressions:For $V_{D S}, I_D=\left[\left(V...
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1762
GATE ECE 1991 | Question 1.24
In order that the circuit of Figure works properly as differentiator, it should be modified to ________ (draw the modified circuit)
In order that the circuit of Figure works properly as differentiator, it should be modified to ________ (draw the modified circuit)
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1763
GATE ECE 1991 | Question 1.25
Two non-inverting amplifiers, one having a unity gain and the other having a gain of twenty are made using identical operational amplifiers. As a compared to the unity gain amplifier, the amplifier with gain twenty has less negative feedback greater input impedance less bandwidth none of the above
Two non-inverting amplifiers, one having a unity gain and the other having a gain of twenty are made using identical operational amplifiers. As a compared to the unity ga...
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1764
GATE ECE 1991 | Question 1.26
Two dimensional addressing of $256 \times 8$ bit $\text{ROM}$ using to $1$ selectors requires ________ (how many?) $\text{NAND}$ gates.
Two dimensional addressing of $256 \times 8$ bit $\text{ROM}$ using to $1$ selectors requires ________ (how many?) $\text{NAND}$ gates.
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1765
GATE ECE 1991 | Question 1.27
The $\textsf{CMOS}$ equivalent of the following $\textsf{nMOS}$ gate (in figure) is___________ (draw the circuit).
The $\textsf{CMOS}$ equivalent of the following $\textsf{nMOS}$ gate (in figure) is___________ (draw the circuit).
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1766
GATE ECE 1991 | Question 1.28
In figure, the Boolean expression for the output in terms of inputs $A, B$ and $C$ when the clock $\textsf{'CK'}$ is high, is given by __________.
In figure, the Boolean expression for the output in terms of inputs $A, B$ and $C$ when the clock $\textsf{'CK'}$ is high, is given by __________.
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1767
GATE ECE 1991 | Question 1.29
An $\text{S-R FLIP-FLOP}$ can be converted into a $\textsf{T FLIP FLOP}$ by connecting __________ to $\mathrm{Q}$ and ___________ to $\mathrm{Q}$.
An $\text{S-R FLIP-FLOP}$ can be converted into a $\textsf{T FLIP FLOP}$ by connecting __________ to $\mathrm{Q}$ and ___________ to $\mathrm{Q}$.
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1768
GATE ECE 1991 | Question 1.30
A bit stored in a $\text{FAMOS}$ device can be erased by _____________.
A bit stored in a $\text{FAMOS}$ device can be erased by _____________.
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1769
GATE ECE 1991 | Question 1.31
A signal has frequency components from $300 \mathrm{~Hz}$ to $1.8 \; \mathrm{KHz}$. The minimum possible rate at which the signal has to be sampled is ___________.
A signal has frequency components from $300 \mathrm{~Hz}$ to $1.8 \; \mathrm{KHz}$. The minimum possible rate at which the signal has to be sampled is ___________.
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1770
GATE ECE 1991 | Question 1.32
A sequential multiplexer is connected as shown in figure. Each time the multiplexer receives the clock, it switches to the next channel (From $6$ it goes to $1$). If the input signals are $A=5 \cos 2 \pi\left(4 \times 10^3 t\right)$ ... $D=4 \cos 2 \pi\left(1.7 \times 10^3 t\right)$ he minimum clock frequency should be _________ $\mathrm{KHz}$.
A sequential multiplexer is connected as shown in figure. Each time the multiplexer receives the clock, it switches to the next channel (From $6$ it goes to $1$). If the ...
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1771
GATE ECE 1991 | Question 1.33
For the signal constellation shown in figure below, the type of modulation is ___________.
For the signal constellation shown in figure below, the type of modulation is ___________.
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1772
GATE ECE 1991 | Question 1.34
Two resistors $R_1$ and $R_2$ (in ohms) at temperatures $T_1$ and $T_2 K$ respectively, are connected in series. Their equivalent noise temperatures is ___________ $K$.
Two resistors $R_1$ and $R_2$ (in ohms) at temperatures $T_1$ and $T_2 K$ respectively, are connected in series. Their equivalent noise temperatures is ___________ $K$.
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1773
GATE ECE 1991 | Question 1.35
A binary source has symbol probabilities $0.8$ and $0.2$. If extension coding (blocks of $4$ symbols) is used. The lower and upper bounds on the average code word length are (a) lower _________. (b) higher ________.
A binary source has symbol probabilities $0.8$ and $0.2$. If extension coding (blocks of $4$ symbols) is used. The lower and upper bounds on the average code word length ...
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1774
GATE ECE 1991 | Question 1.36
In a reflex Klystron oscillator the maximum possible efficiency is $58 \%$ the frequency of oscillation varies linearly with the reflector voltage the power output varies continuously with reflector voltage the power output is maximum at fixed frequency.
In a reflex Klystron oscillatorthe maximum possible efficiency is $58 \%$the frequency of oscillation varies linearly with the reflector voltagethe power output varies co...
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1775
GATE ECE 1991 | Question 1.37
The input impedance of a short-circuited lossless transmission line quarter wave length is purely reactive purely resistive infinite dependent on the characteristic impedance of the line.
The input impedance of a short-circuited lossless transmission line quarter wave length ispurely reactivepurely resistiveinfinitedependent on the characteristic impedance...
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1776
GATE ECE 1991 | Question 1.38
The electric field component of a uniform plane electromagnetic wave propagating in the $Y$-direction in a lossless medium will satisfy the equation. $\frac{\partial^2 E_y}{\partial y^2}=\mu \in \frac{\partial^2 E_y}{\partial t^2}$ ... $\frac{\sqrt{E_x^2+E_z^2}}{\sqrt{H_x^2+H_z^2}}=\sqrt{\frac{\mu}{\epsilon}}$
The electric field component of a uniform plane electromagnetic wave propagating in the $Y$-direction in a lossless medium will satisfy the equation.$\frac{\partial^2 E_y...
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1777
GATE ECE 1991 | Question 1.39
A radio wave is incident on a layer of ionosphere at an angle of $30$ degree with the vertical. If the critical frequency is $1.2 \; \mathrm{MHz}$, the maximum usable frequency is $1.2 \; \mathrm{MHz}$ $2.4 \; \mathrm{MHz}$ $0.6 \; \mathrm{MHz}$ $1.386 \; \mathrm{MHz}$
A radio wave is incident on a layer of ionosphere at an angle of $30$ degree with the vertical. If the critical frequency is $1.2 \; \mathrm{MHz}$, the maximum usable fre...
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1778
GATE ECE 1991 | Question 1.40
In a broad side array of $20$ isotropic radiators, equally spaced at a distance of $\frac{\lambda}{2}$, the beam width between first nulls is $51.3$ degrees $11.46$ degrees $22.9$ degrees $102.6$ degrees
In a broad side array of $20$ isotropic radiators, equally spaced at a distance of $\frac{\lambda}{2}$, the beam width between first nulls is$51.3$ degrees$11.46$ degrees...
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1779
GATE ECE 1991 | Question 2
(a) Find the Laplace transform of the waveform $x(t)$ shown in figure. (b) The network shown in figure is initially under steady state condition with the switch in position $1$. The switch is moved from position $1$ to position $2$ at $t \neq$ 0 . Calculate the current $i(t)$ through $R_1$ after switching.
(a) Find the Laplace transform of the waveform $x(t)$ shown in figure.(b) The network shown in figure is initially under steady state condition with the switch in positio...
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1780
GATE ECE 1991 | Question 3
The open loop transfer function of a feedback control system incorporating a dead time element is given by $ G(s)=\frac{K e^{-T s}}{s(s+1)} $ Where $\mathrm{K}>0$, and $\mathrm{T}>0$ are variable scalar parameters. (a) For a ... $\omega_0$ is the smallest value of $\omega$ satisfying the equation $\omega=\cot \omega T$
The open loop transfer function of a feedback control system incorporating a dead time element is given by$$ G(s)=\frac{K e^{-T s}}{s(s+1)} $$Where $\mathrm{K}>0$, and $\...
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1781
GATE ECE 1991 | Question 4
The current $I$ in a forward biased $P^{+} N$ junction shown in figure (a) is entirely due to diffusion of holes from $x=0$ to $x=L$. The injected hole concentration distribution in the $m$ ... coefficient holes is $12 \mathrm{~cm}^2 / \mathrm{sec}$. (b) The velocity of holes in the $n$-region at $x=0$.
The current $I$ in a forward biased $P^{+} N$ junction shown in figure (a) is entirely due to diffusion of holes from $x=0$ to $x=L$. The injected hole concentration dist...
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1782
GATE ECE 1991 | Question 5
It is required to use a $\text{JFET}$ of figure as linear resistor. The parameters of the $\text{JFET}$ ... are negligible. Determine the minimum value of the linear resistor which can be realized using this $\text{JFET}$ without forward biasing the gate junctions.
It is required to use a $\text{JFET}$ of figure as linear resistor. The parameters of the $\text{JFET}$ are as follows: $$ \mathrm{W}=100 \mu \mathrm{m}, \mathrm{L}=\mu \...
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1783
GATE ECE 1991 | Question 6
In figure, the operational amplifier is ideal and its output can swing between $-15$ and $+15$ volts. The input $v_\rho$ which is zero for $t<0$, is switched to $5$ volts at the instant $\mathrm{t}=0$. Given that the output $v_0$ is ... $v_0$ and $v_i$. You must give the values of important parameters of this sketch.
In figure, the operational amplifier is ideal and its output can swing between $-15$ and $+15$ volts. The input $v_\rho$ which is zero for $t<0$, is switched to $5$ volts...
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1784
GATE ECE 1991 | Question 7
In figure, the operational amplifiers are ideal and their output can swing between $-15$ and $+15$ volts. Sketch on same diagram, the waveform of voltages $V_1$ and $V_2$ as a function of time. You must give the values of important parameters of this sketch.
In figure, the operational amplifiers are ideal and their output can swing between $-15$ and $+15$ volts. Sketch on same diagram, the waveform of voltages $V_1$ and $V_2$...
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1785
GATE ECE 1991 | Question 8
The program given below is run on an 8085 based microcomputer system. Determine the contents of the registers: $\mathrm{PC}, \mathrm{SP}, \mathrm{B}, \mathrm{C}, \mathrm{H}, \mathrm{L}$ after a half instruction is executed.
The program given below is run on an 8085 based microcomputer system. Determine the contents of the registers: $\mathrm{PC}, \mathrm{SP}, \mathrm{B}, \mathrm{C}, \mathrm{...
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1786
GATE ECE 1991 | Question 9
The four variable function $\mathrm{f}$ is given in terms of min-terms as: $ f(A, B, C, D)=\sum m(2,3,8,10,11,12,14,15) . $ Using the $K$-map minimize the function in the sum of products form. Also, given the realization using only two-input $\text{NAND}$ gates.
The four variable function $\mathrm{f}$ is given in terms of min-terms as:$$ f(A, B, C, D)=\sum m(2,3,8,10,11,12,14,15) . $$Using the $K$-map minimize the function in the...
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1787
GATE ECE 1991 | Question 10
(a) A signal $A \sin \omega_m \mathrm{t}$ is input to a square - law device $\left(e_0-e_{m 2}\right)$. The output of which is given to an $\mathrm{FM}$ ... is the carrier frequency. Determine the value of gain $\mathrm{K}$ so that the output is a suppressed carrier $\text{DSB}$ signal.
(a) A signal $A \sin \omega_m \mathrm{t}$ is input to a square - law device $\left(e_0-e_{m 2}\right)$. The output of which is given to an $\mathrm{FM}$ modulator as the ...
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1788
GATE ECE 1991 | Question 11
(a) A Gaussian random variable with zero mean and variance $\sigma$ ... the auto correlation function $R_y(i)$ and power spectral density $S_y(\omega)$ of $Y(t)$ in terms of those of $X(t)$.
(a) A Gaussian random variable with zero mean and variance $\sigma$ is input to a limiter with input output characteristic given by$$ \begin{array}{ll} e_{\text {out }}=e...
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1789
GATE ECE 1991 | Question 12
A uniform plane electromagnetic wave traveling in free space enters into a lossless medium at normal incidence. In the medium its velocity reduces by $50 \%$ and in free space sets up a standing wave having a reflection coefficient of $0.125$. Calculate the permeability and the permittivity of the medium.
A uniform plane electromagnetic wave traveling in free space enters into a lossless medium at normal incidence. In the medium its velocity reduces by $50 \%$ and in free ...
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1790
GATE ECE 1991 | Question 13
In the radiation pattern of a $3$-element array of isotropic radiators equally spaced at distances of $\frac{\lambda}{4}$ it is required to place a null at an angle of $33.56$ degrees off the end-fire direction. Calculate the progressive phase shifts to be applied to the elements. Also calculate the angle at which the main beam is placed for this phase distribution.
In the radiation pattern of a $3$-element array of isotropic radiators equally spaced at distances of $\frac{\lambda}{4}$ it is required to place a null at an angle of $3...
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1791
GATE ECE 2011 | Question: 1
The modes in a rectangular waveguide are denoted by $\mathrm{TE}_{\mathrm{mn}} / \mathrm{TM}_{\mathrm{mn}}$ where $\mathrm{m}$ and $\mathrm{n}$ are the eigen numbers along the larger and smaller dimensions of the waveguide respectively. Which one of ... frequencies The $\mathrm{TM}_{10}$ and the $\mathrm{TM}_{01}$ modes both exist and have the same cut-off frequencies
The modes in a rectangular waveguide are denoted by $\mathrm{TE}_{\mathrm{mn}} / \mathrm{TM}_{\mathrm{mn}}$ where $\mathrm{m}$ and $\mathrm{n}$ are the eigen numbers alon...
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1792
GATE ECE 2011 | Question: 2
The Column-1 lists the attributes and the Column-2 lists the modulation systems. Match the attribute to the modulation system that best meets it. ... $\text{P-III, Q-II, R-I, S-IV}$ $\text{P-II, Q-IV, R-III, S-I}$
The Column-1 lists the attributes and the Column-2 lists the modulation systems. Match the attribute to the modulation system that best meets it.$\begin{array}{llrl} & \u...
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1793
GATE ECE 2011 | Question: 3
The differential equation $100 \dfrac{d^2 y}{d t^2}-20 \dfrac{d y}{d t}+y=x(t)$ describes a system with an input $x(t)$ and an output $y(t)$. The system, which is initially relaxed, is excited by a unit step input. The output $y(t)$ can be represented by the waveform
The differential equation $100 \dfrac{d^2 y}{d t^2}-20 \dfrac{d y}{d t}+y=x(t)$ describes a system with an input $x(t)$ and an output $y(t)$. The system, which is initial...
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1794
GATE ECE 2011 | Question: 4
For the transfer function $\text{G}(j \omega)=5+j \omega$, the corresponding Nyquist plot for positive frequency has the form
For the transfer function $\text{G}(j \omega)=5+j \omega$, the corresponding Nyquist plot for positive frequency has the form
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1795
GATE ECE 2011 | Question: 5
The trigonometric Fourier series of an even function does not have the dc term cosine terms sine terms odd harmonic terms
The trigonometric Fourier series of an even function does not have thedc termcosine termssine termsodd harmonic terms
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1796
GATE ECE 2011 | Question: 6
When the output $\mathrm{Y}$ in the circuit below is $\text{“1",}$ it implies that data has changed from $\text{“0"}$ to $\text{“1"}$ changed from $\text{“1"}$ to $\text{“0"}$ changed in either direction not changed
When the output $\mathrm{Y}$ in the circuit below is $\text{“1",}$ it implies that data has changed from $\text{“0"}$ to $\text{“1"}$changed from $\text{“1"}$ to ...
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1797
GATE ECE 2011 | Question: 7
The logic function implemented by the circuit below is (ground implies a logic $\text{“0”})$ $\text{F=AND(P,Q})$ $\text{F=OR(P,Q})$ $\text{F=XNOR(P,Q})$ $\text{F=XOR(P,Q})$
The logic function implemented by the circuit below is (ground implies a logic $\text{“0”})$$\text{F=AND(P,Q})$$\text{F=OR(P,Q})$$\text{F=XNOR(P,Q})$$\text{F=XOR(P,Q}...
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Number Representations
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1798
GATE ECE 2011 | Question: 8
The circuit below implements a filter between the input current $\mathrm{i}_{\mathrm{i}}$ and the output voltage $\mathrm{v}_{\mathrm{o}}$. Assume that the opamp is ideal. The filter implemented is a low pass filter band pass filter band stop filter high pass filter
The circuit below implements a filter between the input current $\mathrm{i}_{\mathrm{i}}$ and the output voltage $\mathrm{v}_{\mathrm{o}}$. Assume that the opamp is ideal...
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1799
GATE ECE 2011 | Question: 9
A silicon $\text{PN}$ junction is forward biased with a constant current at room temperature. When the temperature is increased by $10^{\circ} \mathrm{C}$, the forward bias voltage across the $\text{PN}$ junction increases by $60 \; \mathrm{mV}$ decreases by $60 \; \mathrm{mV}$ increases by $25 \; \mathrm{mV}$ decreases by $25 \; \mathrm {mV}$
A silicon $\text{PN}$ junction is forward biased with a constant current at room temperature. When the temperature is increased by $10^{\circ} \mathrm{C}$, the forward bi...
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1800
GATE ECE 2011 | Question: 10
In the circuit shown below, the Norton equivalent current in amperes with respect to the terminals $\mathrm{P}$ and $\mathrm{Q}$ is $6.4-\mathrm{j} 4.8$ $6.56-\mathrm{j} 7.87$ $10+\mathrm{j} 0$ $16+\mathrm{j} 0$
In the circuit shown below, the Norton equivalent current in amperes with respect to the terminals $\mathrm{P}$ and $\mathrm{Q}$ is$6.4-\mathrm{j} 4.8$$6.56-\mathrm{j} 7....
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