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Questions by Milicevic3306
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81
GATE2015-16
The capacitor shown in the figure is initially charged to $\text{+10 V}$. The switch closes at time $t=0$. Then the value of $V_C(t)$ in volts at time $\text{t=0 ms}$ is _____________ $V$.
The capacitor shown in the figure is initially charged to $\text{+10 V}$. The switch closes at time $t=0$. Then the value of $V_C(t)$ in volts at time $\text{t=0 ms}$ is ...
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
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0
answers
82
GATE2015-17
The torque transmitted by a cylindrical shaft is to be measured by using two strain gauges. The angles for mounting the strain gauges relative to the axis of the shaft for maximum sensitivity are $\pm 45^\circ$ $\pm 60^\circ$ $\pm 90^\circ$ $\pm 180^\circ$
The torque transmitted by a cylindrical shaft is to be measured by using two strain gauges. The angles for mounting the strain gauges relative to the axis of the shaft fo...
asked
Mar 26, 2018
Others
gate2015-in
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83
GATE2015-18
A p-type semiconductor strain gauge has a nominal resistance of $1000\;\Omega$ and a gauge factor of $+200$ at $25\;^\circ C$. The resistance of the strain gauge in ohms when subjected to a strain of $+10^{-4}$ m/m at the same temperature is __________ $\Omega$.
A p-type semiconductor strain gauge has a nominal resistance of $1000\;\Omega$ and a gauge factor of $+200$ at $25\;^\circ C$. The resistance of the strain gauge in ohms ...
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
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0
answers
84
GATE2015-19
Liquid flow rate is measured using a Pirani gauge a pyrometer an orifice plate a Bourdon tube
Liquid flow rate is measured usinga Pirani gaugea pyrometeran orifice platea Bourdon tube
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Mar 26, 2018
Others
gate2015-in
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85
GATE2015-20
The output voltage of the ideal transformer with the polarities and dots shown in the figure is given by $NV_i\sin \omega t$ $-NV_i\sin \omega t$ $\frac{1}{N}V_i\sin \omega t$ $-\frac{1}{N}V_i\sin \omega t$
The output voltage of the ideal transformer with the polarities and dots shown in the figure is given by$NV_i\sin \omega t$$-NV_i\sin \omega t$$\frac{1}{N}V_i\sin \omega ...
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Mar 26, 2018
Others
gate2015-in
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86
GATE2015-21
A load resistor $R_L$ is connected to a battery of voltage $E$ with internal resistance $R_i$ through a resistance $R_s$ as shown in the figure. For fixed values of $R_L$ and $R_i$, the value of $R_s(\underline{>}0)$ for maximum power transfer to $R_L$ is $0$ $R_L-R_i$ $R_L$ $R_L+R_i$
A load resistor $R_L$ is connected to a battery of voltage $E$ with internal resistance $R_i$ through a resistance $R_s$ as shown in the figure. For fixed values of $R_L$...
asked
Mar 26, 2018
Others
gate2015-in
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87
GATE2015-22
Consider the logic circuit with input signal $\text{TEST}$ shown in the figure. All gates in the figure shown have identical non-zero delay. The signal $\text{TEST}$ which was at logic $\text{LOW}$ is switched to logic $\text{HIGH}$ and maintained at logic $\text{HIGH}$. The output stays $\text{HIGH}$ throughout stays $\text{LOW}$ throughout pulses from $\text{LOW}$ to $\text{HIGH}$ to $\text{LOW}$ pulses from $\text{HIGH}$ to $\text{LOW}$ to $\text{HIGH}$
Consider the logic circuit with input signal $\text{TEST}$ shown in the figure. All gates in the figure shown have identical non-zero delay. The signal $\text{TEST}$ whic...
asked
Mar 26, 2018
Others
gate2015-in
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88
GATE2015-23
The logic evaluated by the circuit at the output is $X\overline{Y}+Y\overline{X}$ $(\overline{X+Y})XY$ $\overline{XY}+XY$ $\overline{X}Y+X\overline{Y}+X+Y$
The logic evaluated by the circuit at the output is $X\overline{Y}+Y\overline{X}$$(\overline{X+Y})XY$$\overline{XY}+XY$$\overline{X}Y+X\overline{Y}+X+Y$
asked
Mar 26, 2018
Digital Electronics
gate2015-in
digital-electronics
combinational-circuits
logic-gates
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0
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0
answers
89
GATE2015-24
In the circuit shown, the switch is momentarily closed and then opened. Assuming the logic gates to have equal non-zero delay, at steady state, the logic states of X and Y are $X$ is latched, $Y$ toggles continuously $X$ and $Y$ are both latched $Y$ is latched, $X$ toggles continuously $X$ and $Y$ both toggle continuously
In the circuit shown, the switch is momentarily closed and then opened. Assuming the logic gates to have equal non-zero delay, at steady state, the logic states of X and ...
asked
Mar 26, 2018
Digital Electronics
gate2015-in
digital-electronics
sequential-circuit
latch
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0
votes
0
answers
90
GATE2015-25
The highest frequency present in the signal $x(t)$ is $f_{max}$. The highest frequency present in the signal $y(t)=x^2(t)$ is $\frac{1}{2}f_{max}$ $f_{max}$ $2f_{max}$ $4f_{max}$
The highest frequency present in the signal $x(t)$ is $f_{max}$. The highest frequency present in the signal $y(t)=x^2(t)$ is$\frac{1}{2}f_{max}$$f_{max}$$2f_{max}$$4f_{m...
asked
Mar 26, 2018
Others
gate2015-in
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91
GATE2015-26
The filter whose transfer function is of the form $G(s)=\frac{s^2-bs+c}{s^2+bs+c}$ is a high-pass filter a low-pass filter an all-pass filter a band-reject filter
The filter whose transfer function is of the form $G(s)=\frac{s^2-bs+c}{s^2+bs+c}$ isa high-pass filtera low-pass filteran all-pass filtera band-reject filter
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Mar 26, 2018
Others
gate2015-in
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0
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92
GATE2015-27
Let 3+4j be a zero of a fourth order linear-phase $FIR$ filter. The complex number which is $NOT$ a zero of this filter is $3-4j$ $\frac{3}{25}+\frac{4}{25}j$ $\frac{3}{25}-\frac{4}{25}j$ $\frac{1}{3}-\frac{1}{4}j$
Let 3+4j be a zero of a fourth order linear-phase $FIR$ filter. The complex number which is $NOT$ a zero of this filter is$3-4j$$\frac{3}{25}+\frac{4}{25}j$$\frac{3}{25}-...
asked
Mar 26, 2018
Others
gate2015-in
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93
GATE2015-28
Consider the ammeter-voltmeter method of determining the value of the resistance $R$ using the circuit shown in the figure. The maximum possible errors of the voltmeter and ammeter are known to be $1 \%$ and $2 \%$ of their readings, respectively. Neglecting the effects of meter resistances, the maximum possible percentage error in the value of $R$ determined from the measurements, is__________$\%$.
Consider the ammeter-voltmeter method of determining the value of the resistance $R$ using the circuit shown in the figure. The maximum possible errors of the voltmeter a...
asked
Mar 26, 2018
Others
gate2015-in
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94
GATE2015-29
The bridge most suited for measurement of a four-terminal resistance in the range of $0.001\;\Omega$ to $0.1\;\Omega$ is Wien’s bridge Kelvin double bridge Maxwell’s bridge Schering bridge
The bridge most suited for measurement of a four-terminal resistance in the range of $0.001\;\Omega$ to $0.1\;\Omega$ isWien’s bridgeKelvin double bridgeMaxwell’s bri...
asked
Mar 26, 2018
Others
gate2015-in
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95
GATE2015-30
A power line is coupled capacitively through various parasitic capacitances to a shielded signal line as shown in the figure. The conductive shield is grounded solidly at one end. Assume that the length of the signal wire extending beyond the shield, and the shield resistance are negligible. The magnitude of the noise voltage coupled to the signal line is directly proportional to $C_{1G}$ inversely proportional to the power line frequency inversely proportional to $C_{1S}$ Zero
A power line is coupled capacitively through various parasitic capacitances to a shielded signal line as shown in the figure. The conductive shield is grounded solidly at...
asked
Mar 26, 2018
Others
gate2015-in
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0
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96
GATE2015-31
A mass-spring-damper system with force as input and displacement of the mass as output has a transfer function $G(s)=1/(s^2+24s+900)$. A force input $F(t)=10\sin(70t)$ newtons is applied at time $t=0\;s$. A beam from an optical stroboscope is focused on the mass. In steady state, the strobe frequency in hertz at which the mass appears to be stationary is $5/\pi$ $15/\pi$ $35/\pi$ $50/\pi$
A mass-spring-damper system with force as input and displacement of the mass as output has a transfer function $G(s)=1/(s^2+24s+900)$. A force input $F(t)=10\sin(70t)$ ne...
asked
Mar 26, 2018
Others
gate2015-in
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0
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97
GATE2015-32
A system with transfer function $G(S)=\frac{1}{s^2+1} $ has zero initial conditions. The percentage overshoot in its step response is ______________ $\%$.
A system with transfer function $G(S)=\frac{1}{s^2+1} $ has zero initial conditions. The percentage overshoot in its step response is ______________ $\%$.
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
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0
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0
answers
98
GATE2015-33
The voltage $(E_0)$ developed across a glass electrode for $pH$ measurement is related to the temperature $(T)$ by the relation $E_0 \varpropto \frac{1}{T^2}$ $E_0 \varpropto \frac{1}{T}$ $E_0 \varpropto T$ $E_0 \varpropto T^2$
The voltage $(E_0)$ developed across a glass electrode for $pH$ measurement is related to the temperature $(T)$ by the relation$E_0 \varpropto \frac{1}{T^2}$$E_0 \varprop...
asked
Mar 26, 2018
Others
gate2015-in
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99
GATE2015-34
A light detector circuit using an ideal photo-diode is shown in the figure. The sensitivity of the photo-diode is $0.5\:\mu A/\mu W$. With $V_r=6\:V$, the output voltage $V_\circ=-1.0V$ for $10 \mu W$ of incident light. If $V_r$ is changed to $3\:V$, keeping all other parameters the same, the value of $V_\circ$ in volts is ____________ $V$.
A light detector circuit using an ideal photo-diode is shown in the figure. The sensitivity of the photo-diode is $0.5\:\mu A/\mu W$. With $V_r=6\:V$, the output voltage ...
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
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0
votes
0
answers
100
GATE2015-35
An apparatus to capture $ECG$ signals has a filter followed by a data acquisition system. The filter best suited for this application is low pass with cutoff frequency $200\; Hz$ high pass with cutoff frequency $200\; Hz$ band pass with lower and upper cutoff frequencies $100\;Hz$ and $200\; Hz$ for its pass band band reject with lower and upper cutoff frequencies $1\; Hz$ and $200\; Hz$ for its stop band
An apparatus to capture $ECG$ signals has a filter followed by a data acquisition system. The filter best suited for this application islow pass with cutoff frequency $20...
asked
Mar 26, 2018
Others
gate2015-in
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0
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0
answers
101
GATE2015-36
The probability that a thermistor randomly picked up from a production unit is defective is $0.1$. The probability that out of $10$ thermistors randomly picked up, $3$ are defective is 0.001 0.057 0.107 0.3
The probability that a thermistor randomly picked up from a production unit is defective is $0.1$. The probability that out of $10$ thermistors randomly picked up, $3$ ar...
asked
Mar 26, 2018
Probability and Statistics
gate2015-in
probability-and-statistics
probability
conditional-probability
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0
answers
102
GATE2015-37
The probability density function of a random variable $X$ is $P_X(x)=e^{-x}$ for $x\underline{>} 0$ and $0$ otherwise. The expected value of the function $g_X(x)=e^{3x/4}$ is __________ .
The probability density function of a random variable $X$ is $P_X(x)=e^{-x}$ for $x\underline{>} 0$ and $0$ otherwise. The expected value of the function $g_X(x)=e^{3x/4}...
asked
Mar 26, 2018
Probability and Statistics
gate2015-in
numerical-answers
probability-and-statistics
probability
probability-density-function
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0
answers
103
GATE2015-38
The $z-$transform of $x[n]=\alpha ^{|n|}, 0<|\alpha|<1,$ is $X(z).$ The region of convergence of $X(z)$ is $|\alpha|<|z|<\frac{1}{|\alpha|}$ $|z|>\alpha$ $|z|>\frac{1}{|\alpha|}$ $|z|<min[|\alpha|,\frac{1}{|\alpha|}]$
The $z-$transform of $x[n]=\alpha ^{|n|}, 0<|\alpha|<1,$ is $X(z).$ The region of convergence of $X(z)$ is$|\alpha|<|z|<\frac{1}{|\alpha|}$$|z|>\alpha$$|z|>\frac{1}{|\alp...
asked
Mar 26, 2018
Others
gate2015-in
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0
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0
answers
104
GATE2015-39
The current in amperes through the resistor $R$ in the circuit shown in the figure is ______________ $A$.
The current in amperes through the resistor $R$ in the circuit shown in the figure is ______________ $A$.
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
+
–
0
votes
0
answers
105
GATE2015-40
The linear $I-V$ characteristics of 2-terminal non-ideal dc sources $X$ and $Y$ are shown in the figure. If the sources are connected to a $1\Omega$ resistor as shown, the current through the resistor in amperes is ______________ A.
The linear $I-V$ characteristics of 2-terminal non-ideal dc sources $X$ and $Y$ are shown in the figure. If the sources are connected to a $1\Omega$ resistor as shown, th...
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
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0
votes
0
answers
106
GATE2015-41
Consider the circuits shown in the figure. The magnitude of the ratio of the currents, i.e., $|I_1/I_2|$, is ___________.
Consider the circuits shown in the figure. The magnitude of the ratio of the currents, i.e., $|I_1/I_2|$, is ___________.
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
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0
votes
0
answers
107
GATE2015-42
The circuit shown in the figure is in series resonance at frequency $f_c\;Hz$. The value of $V_c$ in volts is _____________ $V$.
The circuit shown in the figure is in series resonance at frequency $f_c\;Hz$. The value of $V_c$ in volts is _____________ $V$.
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
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0
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0
answers
108
GATE2015-43
The output frequency of an $LC$ tank oscillator employing a capacitive sensor acting as the capacitor of the tank is $100\;kHz$. If the sensor capacitance increases by $10\% $, the output frequency in kilohertz becomes ____________ $kHz.$
The output frequency of an $LC$ tank oscillator employing a capacitive sensor acting as the capacitor of the tank is $100\;kHz$. If the sensor capacitance increases by $1...
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
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0
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0
answers
109
GATE2015-44
The Seebeck coefficients, in $\mu V/^\circ C,$ for copper, constant an and iron, with respect to platinum, are $1.9, \:-38.3$ and $13.3$, respectively. The magnitude of the thermo emf $E$ developed in the circuit shown in the figure, in millivolts is _____________ $mV$.
The Seebeck coefficients, in $\mu V/^\circ C,$ for copper, constant an and iron, with respect to platinum, are $1.9, \:-38.3$ and $13.3$, respectively. The magnitude of t...
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
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0
votes
0
answers
110
GATE2015-45
In the figure shown, $R_T$ represents a resistance temperature device $(RTD)$, whose characteristic is given by $R_T=R_\circ(1+\alpha T),$ where $R_\circ=100\: \Omega, \: \alpha=0.0039^\circ C^{-1}$ and $T$ denotes the temperature in $^\circ C$. Assuming the opamp to be ideal, the value of $V_\circ$ in volts when $T=100^\circ C$, is _____________ $V$.
In the figure shown, $R_T$ represents a resistance temperature device $(RTD)$, whose characteristic is given by $R_T=R_\circ(1+\alpha T),$ where $R_\circ=100\: \Omega, \:...
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
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0
votes
0
answers
111
GATE2015-46
In the circuit shown in the figure, it is found that $V_{BE}=0.7\:V$ and $V_E=0\:V$. If $\beta_{dc}=99$ for the transistor, then the value of $R_B$ in kilo ohms is _______________ $k\Omega$.
In the circuit shown in the figure, it is found that $V_{BE}=0.7\:V$ and $V_E=0\:V$. If $\beta_{dc}=99$ for the transistor, then the value of $R_B$ in kilo ohms is ______...
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
+
–
0
votes
0
answers
112
GATE2015-47
An opamp has ideal characteristics except that its open loop gain is given by the expression $Av(S)=10^4/(1+10^{-3}\;s).$ This op-amp is used in the circuit shown in the figure. The 3-dB bandwidth of the circuit, in $\text{rad/s}$, is $10^2$ $10^3$ $10^4$ $10^6$
An opamp has ideal characteristics except that its open loop gain is given by the expression $Av(S)=10^4/(1+10^{-3}\;s).$ This op-amp is used in the circuit shown in the ...
asked
Mar 26, 2018
Others
gate2015-in
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0
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0
answers
113
GATE2015-48
In the circuit shown, the voltage source $V(t)=15+0.1\sin(100t)$ volts. The $PMOS$ transistor is biased such that it is in situation with its gate-source capacitance beign $4 nF$ and its transconductance at the operating point beign $1 mA/V$. Other parasitic impedances of the MOSFET may be ignored. An external capacitor of capacitance $2 nF$ is connected across the PMOS transistor as shown. The input impedance in mega ohm as seen by the voltage source is ____________ $M\Omega$.
In the circuit shown, the voltage source $V(t)=15+0.1\sin(100t)$ volts. The $PMOS$ transistor is biased such that it is in situation with its gate-source capacitance beig...
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
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–
0
votes
0
answers
114
GATE2015-49
An $ADC$ is interfaced with a microprocessor as shown in the figure. All signals have been indicated with typical notations. Acquisition of one new sample of the analog input signal by the microprocessor involves one $READ$ cycle only one $WRITE$ cycle only one $WRITE$ cycle followed by one $READ$ cycle one $READ$ cycle followed by one $WRITE$ cycle
An $ADC$ is interfaced with a microprocessor as shown in the figure. All signals have been indicated with typical notations. Acquisition of one new sample of the analog i...
asked
Mar 26, 2018
Others
gate2015-in
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0
votes
0
answers
115
GATE2015-50
The number of clock cycles for the duration of an input pulse is counted using a cascade of $N$ decade counters $\text{(DC 1 to DC N)}$ as shown in the figure. If the clock frequency in mega hertz is $f$, the resolution and range of measurement of input pulse width, both in $\mu S$, are respectively, $\frac{1}{f}$ and $\frac{(2^N-1)}{f}$ $\frac{1}{f}$ and $\frac{(10^N-1)}{f}$ $\frac{10^N}{f}$ and $\frac{(10^N-1)}{f}$ $\frac{2^N}{f}$ and $\frac{(2^N-1)}{f}$
The number of clock cycles for the duration of an input pulse is counted using a cascade of $N$ decade counters $\text{(DC 1 to DC N)}$ as shown in the figure. If the clo...
asked
Mar 26, 2018
Others
gate2015-in
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0
votes
0
answers
116
GATE2015-51
For the circuit shown in the figure, the rising edge triggered D-flip flop with asynchronous reset has a clock frequency of $\text{1 Hz}$. The $\text{NMOS}$ transistor has an $ON$ resistance of $1000\:\Omega$ and an $OFF$ resistance of infinity. The nature of the output waveform is
For the circuit shown in the figure, the rising edge triggered D-flip flop with asynchronous reset has a clock frequency of $\text{1 Hz}$. The $\text{NMOS}$ transistor ha...
asked
Mar 26, 2018
Others
gate2015-in
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–
0
votes
0
answers
117
GATE2015-52
A transfer function $G(s)$ with the degree of its numerator polynomial zero and the degree of its denominator polynomial two has a Nyquist plot shown in the figure. The transfer function represents a stable, type-0 system a stable, type-1 system an unstable, type-0 system an unstable, type-1 system
A transfer function $G(s)$ with the degree of its numerator polynomial zero and the degree of its denominator polynomial two has a Nyquist plot shown in the figure. The t...
asked
Mar 26, 2018
Others
gate2015-in
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–
0
votes
0
answers
118
GATE2015-53
In the circuit shown in the figure, both the $\text{NMOS}$ transistors are identical with their threshold voltages being $\text{5 V}$. Ignoring channel length modulation, the output voltage $V_{out}$ in volt is ______________ $V$.
In the circuit shown in the figure, both the $\text{NMOS}$ transistors are identical with their threshold voltages being $\text{5 V}$. Ignoring channel length modulation,...
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
+
–
0
votes
0
answers
119
GATE2015-54
The signal $x[n]=\sin(\pi n/6)/(\pi n)$ is processed through a linear filter with the impulse response $h[n]=\sin(\omega_cn)/(\pi n)$ where $\omega_c>\pi/6$. The output of the filter is $sin(2\omega_cn)/(\pi n)$ $sin(\pi n/3)/(\pi n)$ $[sin(\pi n/6)/(\pi n)]^2$ $sin(\pi n/6)/(\pi n)$
The signal $x[n]=\sin(\pi n/6)/(\pi n)$ is processed through a linear filter with the impulse response $h[n]=\sin(\omega_cn)/(\pi n)$ where $\omega_c>\pi/6$. The output o...
asked
Mar 26, 2018
Others
gate2015-in
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–
0
votes
0
answers
120
GATE2015-55
A signal is band-limited to $\text{0 to 12 kHz}$. The signal spectrum is corrupted by additive noise which is band-limited to $\text{10 to 12 kHz}$. Theoretically, the minimum rate in kilohertz at which the noisy signal must be sampled so that the $\text{UNCORRUPTED PART}$ of the signal spectrum can be recovered, is _____________ $kHz.$
A signal is band-limited to $\text{0 to 12 kHz}$. The signal spectrum is corrupted by additive noise which is band-limited to $\text{10 to 12 kHz}$. Theoretically, the mi...
asked
Mar 26, 2018
Others
gate2015-in
numerical-answers
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