GO Electronics
Login
Register
Dark Mode
Brightness
Profile
Edit Profile
Messages
My favorites
My Updates
Logout
Recent questions tagged gate2000-ec
0
votes
0
answers
41
GATE ECE 2000 | Question 2.15
In a digital communication system employing Frequency Shift Keying $\text{(FSK)}$, the $0$ and $1$ bit are represented by sine waves of $10 \; \mathrm{kHz}$ and $25 \; \mathrm{kHz}$ respectively. These waveforms will be orthogonal for a bit interval of $45 \; \mu \mathrm{sec}$ $200 \; \mu \mathrm{sec}$ $50 \; \mu \mathrm{sec}$ $250 \; \mu \mathrm{sec}$
In a digital communication system employing Frequency Shift Keying $\text{(FSK)}$, the $0$ and $1$ bit are represented by sine waves of $10 \; \mathrm{kHz}$ and $25 \; \m...
admin
46.4k
points
190
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
42
GATE ECE 2000 | Question 2.17
The Hilbert transform of $\cos \omega_{1} t+\sin \omega_{2} t$ is $\sin \omega_{1} t-\cos \omega_{2} t$ $\sin \omega_{1} t+\cos \omega_{2} t$ $\cos \omega_{1} t-\sin \omega_{2} t$ $\sin \omega_{1} t+\sin \omega_{2} t$
The Hilbert transform of $\cos \omega_{1} t+\sin \omega_{2} t$ is$\sin \omega_{1} t-\cos \omega_{2} t$$\sin \omega_{1} t+\cos \omega_{2} t$$\cos \omega_{1} t-\sin \omega_...
admin
46.4k
points
46
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
43
GATE ECE 2000 | Question 2.18
A system has a phase response given by $\phi(\omega)$, where $w$ is the angular frequency. The phase delay and group delay at $\omega=\omega_{0}$ ... $\omega_{o} \phi\left(\omega_{o}\right)_{1} \int_{-\infty}^{\omega_{\infty}} \phi(\lambda) d \lambda$
A system has a phase response given by $\phi(\omega)$, where $w$ is the angular frequency. The phase delay and group delay at $\omega=\omega_{0}$ are respectively given b...
admin
46.4k
points
31
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
44
GATE ECE 2000 | Question 2.19
A system described by the transfer function $\mathrm{H}(s)=\frac{1}{s^{3}+\alpha s^{2}+k s+3}$ is stable. The constraints on $\alpha$ and $k$ are $\alpha>0, \alpha k<3$ $\alpha>0, \alpha k>3$ $\alpha<0, \alpha k>0$ $\alpha>0, \alpha k<0$
A system described by the transfer function$\mathrm{H}(s)=\frac{1}{s^{3}+\alpha s^{2}+k s+3}$ is stable. The constraints on $\alpha$ and $k$ are$\alpha>0, \alpha k<3$$\al...
admin
46.4k
points
54
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
45
GATE ECE 2000 | Question 2.20
In an $\text{FM}$ system, a carrier of $100\; \mathrm{MHz}$ is modulated by a sinusoidal signal of $5 \; \mathrm{kHz}$. The bandwidth by Carson's approximation is $1 \; \mathrm{MHz}$. If $y(t)=(\text {modulated waveform})^{3}$, then by using Carson's ... $3 \; \mathrm{MHz}, 15 \; \mathrm{kHz}$ $1 \; \mathrm{MHz}, 5 \; \mathrm{kHz}$
In an $\text{FM}$ system, a carrier of $100\; \mathrm{MHz}$ is modulated by a sinusoidal signal of $5 \; \mathrm{kHz}$. The bandwidth by Carson's approximation is $1 \; \...
admin
46.4k
points
64
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
46
GATE ECE 2000 | Question 2.21
A uniform plane wave in air impinges at $45^{\circ}$ angle on a lossless dielectric material with dielectric constant $\varepsilon_{r}$. The transmitted wave propagates in a $30^{\circ}$ direction with respect to the normal. The value of $\varepsilon_{r}$ is $1.5$ $\sqrt{1.5}$ $2$ $\sqrt{2}$
A uniform plane wave in air impinges at $45^{\circ}$ angle on a lossless dielectric material with dielectric constant $\varepsilon_{r}$. The transmitted wave propagates i...
admin
46.4k
points
49
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
47
GATE ECE 2000 | Question 2.22
For an $8$ feet $(2.4 \mathrm{~m})$ parabolic dish antenna operating at $4 \; \mathrm{GHz}$, the minimum distance required for far field measurement is closest to $7.5 \mathrm{~cm}$ $15 \mathrm{~cm}$ $15 \mathrm{~m}$ $150 \mathrm{~m}$
For an $8$ feet $(2.4 \mathrm{~m})$ parabolic dish antenna operating at $4 \; \mathrm{GHz}$, the minimum distance required for far field measurement is closest to$7.5 \ma...
admin
46.4k
points
52
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
48
GATE ECE 2000 | Question 2.23
A rectangular waveguide has dimensions $1 \mathrm{~cm} \times 0.5 \mathrm{~cm}$. Its cut-off frequency is $2 \mathrm{~dB}$ $5 \mathrm{~dB}$ $8 \mathrm{~dB}$ $12 \mathrm{~dB}$
A rectangular waveguide has dimensions $1 \mathrm{~cm} \times 0.5 \mathrm{~cm}$. Its cut-off frequency is$2 \mathrm{~dB}$$5 \mathrm{~dB}$$8 \mathrm{~dB}$$12 \mathrm{~dB}$...
admin
46.4k
points
80
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
49
GATE ECE 2000 | Question 2.24
A rectangular waveguide has dimensions $1 \mathrm{~cm} \times 0.5 \mathrm{~cm}$. Its cut-off frequency is $5 \; \mathrm{GHz}$ $10 \; \mathrm{GHz}$ $15 \; \mathrm{GHz}$ $20 \; \mathrm{GHz}$
A rectangular waveguide has dimensions $1 \mathrm{~cm} \times 0.5 \mathrm{~cm}$. Its cut-off frequency is$5 \; \mathrm{GHz}$$10 \; \mathrm{GHz}$$15 \; \mathrm{GHz}$$20 \;...
admin
46.4k
points
56
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
50
GATE ECE 2000 | Question 2.25
Two coaxial cables $1$ and $2$ are filled with different dielectric constants $\varepsilon_{r 1}$ and $\varepsilon_{r 2}$ respectively. The ratio of the wavelengths in the two cables, $\left(\lambda_{1} / \lambda_{2}\right)$ ... $\varepsilon_{r 1} / \varepsilon_{r 2}$ $\varepsilon_{r 2} / \varepsilon_{r 1}$
Two coaxial cables $1$ and $2$ are filled with different dielectric constants $\varepsilon_{r 1}$ and $\varepsilon_{r 2}$ respectively. The ratio of the wavelengths in th...
admin
46.4k
points
33
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
51
GATE ECE 2000 | Question 3
For the circuit in given figure, Find the Thevenin equivalent of the sub circuit faced by the capacitor across the terminals $a, b$. Find $v_{c}(t), t>0$, given $v_{c}(0)=0$. Find $i(t), t>0$.
For the circuit in given figure, Find the Thevenin equivalent of the sub circuit faced by the capacitor across the terminals $a, b$.Find $v_{c}(t), t>0$, given $v_{c}(0)=...
admin
46.4k
points
50
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
52
GATE ECE 2000 | Question 4
For the given circuit, which is in steady state Find the frequency $\omega_{\mathrm{o}}$ at which the magnitude of the impedance across terminals $a, b$ reaches a maximum. Find the impedance across $a, b$ at the frequency $\omega_{0}$. If $v_{\mathrm{s}}(t)=\mathrm{V} \sin \left(\omega_{\mathrm{o}} t\right)$, find $i_{\mathrm{L}}(t), i_{\mathrm{R}}(t)$
For the given circuit, which is in steady stateFind the frequency $\omega_{\mathrm{o}}$ at which the magnitude of the impedance across terminals $a, b$ reaches a maximum....
admin
46.4k
points
37
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
53
GATE ECE 2000 | Question 5
For the given circuit, write the state equations using $v_{c}$ and $i_{\mathrm{L}}$ as state variables.
For the given circuit, write the state equations using $v_{c}$ and $i_{\mathrm{L}}$ as state variables.
admin
46.4k
points
33
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
54
GATE ECE 2000 | Question 6
The network $\mathrm{N}$ in given figure consists only of two elements: a resistor of $1 \; \Omega$ and an inductor of $\text{L}$ Henry. A $5 \mathrm{~V}$ source is connected at the input at $t=0$ seconds. The inductor current ... voltage transfer function of the network. Find $\text{L}$, and draw the configuration of the network. Find the impulse response of the network.
The network $\mathrm{N}$ in given figure consists only of two elements: a resistor of $1 \; \Omega$ and an inductor of $\text{L}$ Henry. A $5 \mathrm{~V}$ source is conne...
admin
46.4k
points
31
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
55
GATE ECE 2000 | Question 7
For the linear, time-invariant system whose block diagram is shown in figure with input $x(t)$ and output $y(t)$, Find the transfer function. For the step response of the system [i.e. find $y(t)$ when $x(t)$ is a unit step function and the initial conditions are zero.] Find $y(t)$, if $x(t)$ is as shown in figure and the initial conditions are zero.
For the linear, time-invariant system whose block diagram is shown in figure with input $x(t)$ and output $y(t)$, Find the transfer function.For the step response of the ...
admin
46.4k
points
29
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
56
GATE ECE 2000 | Question 8
A certain linear, time-invariant system has the state and output representation shown below: \[ \left(\begin{array}{l} \dot{x}_{1} \\ \dot{x}_{2} \end{array}\right)=\left(\begin{array}{rr} -2 & 1 \\ 0 & -3 \end{array}\right)\left(\begin{array}{l} x_{1} \ ... conditions $x_{1}\left(0_{+}\right)$and $x_{2}\left(0_{+}\right)$such that $y(t)=A e^{-2 t}$ for $t>0$.
A certain linear, time-invariant system has the state and output representation shown below:\[\left(\begin{array}{l}\dot{x}_{1} \\\dot{x}_{2}\end{array}\right)=\left(\beg...
admin
46.4k
points
54
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
57
GATE ECE 2000 | Question 9
The block diagram of a feedback system is shown in the figure. Find the closed loop transfer function. Find the minimum value of $G$ for which the step response of the system would exhibit an overshoot, as shown in figure. For G equal to twice this minimum value, find the time period $T$ indicated in the figure.
The block diagram of a feedback system is shown in the figure.Find the closed loop transfer function.Find the minimum value of $G$ for which the step response of the syst...
admin
46.4k
points
113
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
58
GATE ECE 2000 | Question 10
(a) For given figure, Plot $v_{o}$ under steady state conditions, with and without $C$. Assume that the diode is ideal. (b) Design a circuit using two ideal diodes, one resistor and two voltage sources that would convert the input voltage of figure is to the output voltage of fourth figure. The resistor value need not be specified.
(a) For given figure, Plot $v_{o}$ under steady state conditions, with and without $C$. Assume that the diode is ideal.(b) Design a circuit using two ideal diodes, one re...
admin
46.4k
points
29
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
59
GATE ECE 2000 | Question 11
For the amplifier of given figure, $I_{C}=1.3 \mathrm{~mA}$, $R_{C}=2 \; \mathrm{k} \Omega, R_{\mathrm{E}}=500 \; \Omega, \mathrm{V}_{\mathrm{T}}=\mathrm{T} / q=26 \; \mathrm{mV}, \beta=100$ ... is the approximate $\mathrm{A}_{v'}$ if $\mathrm{C}_{c}$ is removed ? What will $v_{o}$ be if $\mathrm{C}_{b}$ is short circuited?
For the amplifier of given figure, $I_{C}=1.3 \mathrm{~mA}$, $R_{C}=2 \; \mathrm{k} \Omega, R_{\mathrm{E}}=500 \; \Omega, \mathrm{V}_{\mathrm{T}}=\mathrm{T} / q=26 \; \ma...
admin
46.4k
points
37
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
60
GATE ECE 2000 | Question 12
For a feedback amplifier, the open loop transfer function has three poles at $100 \; k \; \mathrm{rad} / \mathrm{s}, 1 \; \mathrm{M} \; \mathrm{rad} / \mathrm{s}$ and $10 \; \mathrm{M} \; \mathrm{rad} / \mathrm{s}$. The low ... is $1000$ and the feedback factor $(\beta)$ is $1$. Use Bode plots to determine the phase margin of the amplifier. Is the amplifier stable?
For a feedback amplifier, the open loop transfer function has three poles at $100 \; k \; \mathrm{rad} / \mathrm{s}, 1 \; \mathrm{M} \; \mathrm{rad} / \mathrm{s}$ and $10...
admin
46.4k
points
36
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
61
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...
admin
46.4k
points
44
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
62
GATE ECE 2000 | Question 14
For the $\text{CMOS}$ monostable multivibrator of given figure, $\mathrm{R}=50 \mathrm{~kW}, \mathrm{C}=0.01 \; \mu \mathrm{F}, \mathrm{V}_{\mathrm{DD}}=5 \mathrm{~V}$, and the $\text{CMOS NOR}$ ... $v_{\mathrm{R}}(t)$, for $t>0$. Find the time period of the output pulse.
For the $\text{CMOS}$ monostable multivibrator of given figure, $\mathrm{R}=50 \mathrm{~kW}, \mathrm{C}=0.01 \; \mu \mathrm{F}, \mathrm{V}_{\mathrm{DD}}=5 \mathrm{~V}$, a...
admin
46.4k
points
32
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
63
GATE ECE 2000 | Question 15
The operating conditions $(O N=1, O F F=0)$ of three pumps $(x, y, z)$ are to be monitored. $x=1$ implies that pump $X$ is on. It is required that the indicator $\text{(LED)}$ on the panel should glow when a majority of the pumps fail. Enter the logical ... is $1 \mathrm{~V}$. Assume that $P$ can source or sink $10 \mathrm{~mA}$ and a $5 \mathrm{~V}$ supply is available.
The operating conditions $(O N=1, O F F=0)$ of three pumps $(x, y, z)$ are to be monitored. $x=1$ implies that pump $X$ is on. It is required that the indicator $\text{(L...
admin
46.4k
points
53
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
64
GATE ECE 2000 | Question 16
A one-bit full adder is to be implemented using $8$-to-$1$ multiplexers $\text{(MUX)}$. Write the truth table for sum $\text{(S)}$ and carry to the next stage $\left(\mathrm{C}_{\mathrm{N}}\right)$ in terms of the two bits $\text{(A, B)}$ and carry from the ... $(000,001,010$, ... etc.). Implement $\text{S}$ and $\text{C}_{N}$ using $8$-to-$1$ multiplexers.
A one-bit full adder is to be implemented using $8$-to-$1$ multiplexers $\text{(MUX)}$.Write the truth table for sum $\text{(S)}$ and carry to the next stage $\left(\math...
admin
46.4k
points
31
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
65
GATE ECE 2000 | Question 17
(a) The program and machine code for an $8085$ ... $\text{LDA} \; 2000 \; \mathrm{H}$ (c) Write an instruction which takes the minimum possible time to clear the accumulator of the $8085$.
(a) The program and machine code for an $8085$ microprocessor are given by$\begin{array}{lll}3 \mathrm{E} & \text {MVI} & \text {A} \\ \text {C3} & & \\ 00 & \text {NOP} ...
admin
46.4k
points
44
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
66
GATE ECE 2000 | Question 18
A bandlimited signal $x(t)$ with $a^{\prime}$ spectrum $X(f)$ as shown in first figure is processed as shown in second figure is $p(t)$ ... Fourier Transform of $p(t)$. Obtain and sketch the spectrum of $x_{s}(t)$. Obtain and sketch the spectrum of $y(t)$.
A bandlimited signal $x(t)$ with $a^{\prime}$ spectrum $X(f)$ as shown in first figure is processed as shown in second figure is $p(t)$ is a periodic train of impulses as...
admin
46.4k
points
49
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
67
GATE ECE 2000 | Question 19
Zero mean white Gaussian noise with a two-sided power spectral density of $4 \mathrm{~W} / \mathrm{kHz}$ is passed through an ideal lowpass filter with a cut-off frequency of $2 \; \mathrm{kHz}$ and a passband gain of $1$, to produce the noise ... $n\left(t_{1}\right) n\left(t_{2}\right)$ has the most negative expected value and obtain this most negative expected value.
Zero mean white Gaussian noise with a two-sided power spectral density of $4 \mathrm{~W} / \mathrm{kHz}$ is passed through an ideal lowpass filter with a cut-off frequenc...
admin
46.4k
points
36
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
68
GATE ECE 2000 | Question 20
Given $\mathrm{E}=10 e^{-f(4 x-k t)} \bar{y} \; \mathrm{V} / \mathrm{m}$ in free space: Write all the four Maxwell's equations in free space. Find $\nabla \times E$. Find $\mathrm{H}$.
Given $\mathrm{E}=10 e^{-f(4 x-k t)} \bar{y} \; \mathrm{V} / \mathrm{m}$ in free space:Write all the four Maxwell's equations in free space.Find $\nabla \times E$.Find $\...
admin
46.4k
points
65
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
69
GATE ECE 2000 | Question 21
The three regions shown in figure are all lossless and non-magnetic. Find. Wave impedance in mediums $2$ and $3$. $d$ such that medium $2$ acts as a quarter wave $(\lambda / 4)$ transformer. Reflection coefficient $(\Gamma)$ and voltage standing wave ratio $\text{(VSWR)}$ at the interface of the mediums $1$ and $2$, when $d=\lambda / 4$.
The three regions shown in figure are all lossless and non-magnetic. Find. Wave impedance in mediums $2$ and $3$.$d$ such that medium $2$ acts as a quarter wave $(\lambda...
admin
46.4k
points
56
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
0
votes
0
answers
70
GATE ECE 2000 | Question 22
Designa lossless impedance matching network shown in figure to transform $Z_{L}=10+ j 10 \; \Omega$ to $Z_{\text {in }}=50 \; \Omega$. Find the values of $\text{L, C}$ and quality factor $(\mathrm{Q})$ of the circuit at $f=1 \; \mathrm{GHz}$.
Designa lossless impedance matching network shown in figure to transform $Z_{L}=10+ j 10 \; \Omega$ to $Z_{\text {in }}=50 \; \Omega$. Find the values of $\text{L, C}$ an...
admin
46.4k
points
46
views
admin
asked
Sep 29, 2022
Others
gate2000-ec
+
–
Page:
« prev
1
2
GO Electronics
Email or Username
Show
Hide
Password
I forgot my password
Remember
Log in
Register