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2921
GATE ECE 2018 | Question: 1
Two identical $\text{nMOS}$ transistors $M_{1}$ and $M_{2}$ are connected as shown below. The circuit is used as an amplifier with the input connected between $\text{G and S}$ terminals and the output taken between $D\: \text{and}\: S$ terminals. $V_{bias}$ and $V_{D}$ are ... $g_{m}\approx g_{m1} \:\:\text{and}\:\: r_{o}\approx r_{o2}$
Two identical $\text{nMOS}$ transistors $M_{1}$ and $M_{2}$ are connected as shown below. The circuit is used as an amplifier with the input connected between $\text{G an...
gatecse
1.6k
points
167
views
gatecse
asked
Feb 19, 2018
Electronic Devices
gate2018-ec
analog-circuits
nmos-transistor
amplifier
+
–
0
votes
0
answers
2922
GATE ECE 2018 | Question: 2
In the circuit shown below, the op-amp is ideal and Zener voltage of the diode is $2.5\: volts$. At the input, unit step voltage is applied, i.e. $v_{IN}\left ( t \right ) = u\left ( t \right )\:volts$. Also, at $t = 0$, the voltage across each of the ... zero. The time $t$, in milliseconds, at which the output voltage $v_{OUT}$ crosses $-10\: V$ is $2.5$ $5$ $7.5$ $10$
In the circuit shown below, the op-amp is ideal and Zener voltage of the diode is $2.5\: volts$. At the input, unit step voltage is applied, i.e. $v_{IN}\left ( t \right ...
gatecse
1.6k
points
143
views
gatecse
asked
Feb 19, 2018
Electronic Devices
gate2018-ec
electronic-devices
zener-diode
+
–
0
votes
0
answers
2923
GATE ECE 2018 | Question: 3
A good transimpedance amplifier has low input impedance and high output impedance high input impedance and high output impedance high input impedance and low output impedance low input impedance and low output impedance
A good transimpedance amplifier haslow input impedance and high output impedancehigh input impedance and high output impedancehigh input impedance and low output impedanc...
gatecse
1.6k
points
119
views
gatecse
asked
Feb 19, 2018
Electromagnetics
gate2018-ec
electromagnetics
impedance
+
–
0
votes
0
answers
2924
GATE ECE 2018 | Question: 4
Let the input be $u$ and the output be $y$ ... $y=au+b,b\neq 0$ $y=au$
Let the input be $u$ and the output be $y$ of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system:$\d...
gatecse
1.6k
points
107
views
gatecse
asked
Feb 19, 2018
Differential Equations
gate2018-ec
differential-equations
+
–
0
votes
1
answer
2925
GATE ECE 2018 | Question: 5
The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability od feedback controllers. Identify which of the following statements is FALSE: Both the criteria provide information relative to the ... criterion. The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.
The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability od feedback controllers. Identify which of the foll...
gatecse
1.6k
points
332
views
gatecse
asked
Feb 19, 2018
Control Systems
gate2018-ec
control-systems
nyquist
+
–
0
votes
0
answers
2926
GATE ECE 2018 | Question: 6
Consider $p(s)=s^{3}+ a_{2}s^{2}+a_{1}s+a_{0}$ with all real coefficients. It is known that its derivatives ${p}'(s)$ has no real roots. The number of real roots of $p(s)$ is $0$ $1$ $2$ $3$
Consider $p(s)=s^{3}+ a_{2}s^{2}+a_{1}s+a_{0}$ with all real coefficients. It is known that its derivatives ${p}'(s)$ has no real roots. The number of real roots of $p(s)...
gatecse
1.6k
points
105
views
gatecse
asked
Feb 19, 2018
Calculus
gate2018-ec
calculus
derivatives
+
–
0
votes
0
answers
2927
GATE ECE 2018 | Question: 7
In a $\text{p-n}$ junction diode at equilibrium, which one of the following statements is NOT TRUE? The hole and electron diffusion current components are in the same direction. The hole and electron drift current components are in the same ... an average, holes and electrons drift in opposite direction. On an average, electrons drift and diffuse in the same direction.
In a $\text{p-n}$ junction diode at equilibrium, which one of the following statements is NOT TRUE?The hole and electron diffusion current components are in the same dire...
gatecse
1.6k
points
143
views
gatecse
asked
Feb 19, 2018
Electronic Devices
gate2018-ec
electronic-devices
diffusion-current
p-n-junction
+
–
0
votes
0
answers
2928
GATE ECE 2018 | Question: 8
The logic function $f(X, Y)$ realized by the given circuit is NOR AND NAND XOR
The logic function $f(X, Y)$ realized by the given circuit is NORANDNANDXOR
gatecse
1.6k
points
183
views
gatecse
asked
Feb 19, 2018
Digital Circuits
gate2018-ec
digital-circuits
combinational-circuits
logic-gates
+
–
2
votes
1
answer
2929
GATE ECE 2018 | Question: 9
A function $F(A, B, C)$ defined by three Boolean variables $\text{A, B and C}$ when expressed as sum of products is given by $F=\overline{A}\:.\overline{B}\:.\overline{C}+\overline{A}\:.B\:.\overline{C}+A\:.\overline{B}\:.\overline{C}$ ...
A function $F(A, B, C)$ defined by three Boolean variables $\text{A, B and C}$ when expressed as sum of products is given by$$F=\overline{A}\:.\overline{B}\:.\overline{C}...
gatecse
1.6k
points
442
views
gatecse
asked
Feb 19, 2018
Digital Circuits
gate2018-ec
digital-circuits
boolean-algebra
+
–
0
votes
0
answers
2930
GATE ECE 2017 Set 2 | Question: 51
A modulating signal given by $x(t)=5\sin (4\pi 10^3t -10\pi \cos 2\pi 10^3t)V$ is fed to a phase modulator with phase deviation constant $k_p=5$ rad/V. If the carrier frequency is $20$ kHz, the instantaneous frequency(in kHz) at $t=0.5$ ms is ____________
A modulating signal given by $x(t)=5\sin (4\pi 10^3t -10\pi \cos 2\pi 10^3t)V$ is fed to a phase modulator with phase deviation constant $k_p=5$ rad/V. If the carrier f...
admin
46.4k
points
104
views
admin
asked
Nov 25, 2017
Communications
gate2017-ec-2
numerical-answers
communications
+
–
0
votes
0
answers
2931
GATE ECE 2017 Set 2 | Question: 52
Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure. The channel is lossless noiseless useless deterministic
Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure.The channel islosslessnoiselessuselessdeterministic
admin
46.4k
points
281
views
admin
asked
Nov 25, 2017
Communications
gate2017-ec-2
channel-capacity-theorem
communications
+
–
0
votes
0
answers
2932
GATE ECE 2017 Set 2 | Question: 53
An electron $(q_1)$ is moving in free space with velocity $10^5$ m/s towards a stationary electron $(q_2)$ far away. The closest distance that this moving electron gets to the stationary electron before the repulsive force diverts its path is ____________$\times 10^{-8}$ ... $e=-1.6\times 10^{-19}$ C, and permittivity $\varepsilon _0=(1/36\pi)\times 10^{-9}$ F/m]
An electron $(q_1)$ is moving in free space with velocity $10^5$ m/s towards a stationary electron $(q_2)$ far away. The closest distance that this moving electron gets t...
admin
46.4k
points
208
views
admin
asked
Nov 25, 2017
Electronic Devices
gate2017-ec-2
numerical-answers
electronic-devices
+
–
0
votes
0
answers
2933
GATE ECE 2017 Set 2 | Question: 54
Standard air-filled rectangular waveguides of dimensions $a=2.29$ cm and $b=1.02 $ cm are designed for radar applications. It is desired that these waveguides operate only in the dominant $TE_{10}$ mode with the operating frequency at least $25 \%$ ... $6.55 \: GHz \leq f \leq 13.1 \: GHz$ $1.64 \: GHz \leq f \leq 10.24 \: GHz$
Standard air-filled rectangular waveguides of dimensions $a=2.29$ cm and $b=1.02 $ cm are designed for radar applications. It is desired that these waveguides operate onl...
admin
46.4k
points
208
views
admin
asked
Nov 25, 2017
Electromagnetics
gate2017-ec-2
waveguides
electromagnetics
+
–
0
votes
0
answers
2934
GATE ECE 2017 Set 2 | Question: 55
The permittivity of water at optical frequencies is $1.75 \varepsilon _0$. It is found that an isotropic light source at a distance $d$ under water forms an illuminated circular area of radius $5$ m, as shown in the figure. The critical angle is $\theta _c$. The value of $d$ (in meter) is _______________
The permittivity of water at optical frequencies is $1.75 \varepsilon _0$. It is found that an isotropic light source at a distance $d$ under water forms an illuminated c...
admin
46.4k
points
230
views
admin
asked
Nov 25, 2017
Electromagnetics
gate2017-ec-2
numerical-answers
electromagnetics
+
–
0
votes
0
answers
2935
GATE ECE 2017 Set 2 | Question: 40
Assuming that transistors $M_1$ and $M_2$ are identical and have a threshold voltage of $1$ V, the state of transistors $M_1$ and $M_2$ are respectively Saturation, Saturation Linear, Linear Linear, Saturation Saturation, Linear
Assuming that transistors $M_1$ and $M_2$ are identical and have a threshold voltage of $1$ V, the state of transistors $M_1$ and $M_2$ are respectivelySaturation, Satura...
admin
46.4k
points
98
views
admin
asked
Nov 25, 2017
Analog Circuits
gate2017-ec-2
transistor
analog-circuits
+
–
0
votes
0
answers
2936
GATE ECE 2017 Set 2 | Question: 41
In the circuit shown, transistors $Q_1$ and $Q_2$ are biased at a collector current of $2.6$ mA. Assuming that transistor current gains are sufficiently large to assume collector current equal to emitter current and thermal voltage of $26$ mV, the magnitude of voltage gain $V_0/V_s$ in the mid-band frequency range is __________(up to second decimal place).
In the circuit shown, transistors $Q_1$ and $Q_2$ are biased at a collector current of $2.6$ mA. Assuming that transistor current gains are sufficiently large to assume c...
admin
46.4k
points
159
views
admin
asked
Nov 25, 2017
Analog Circuits
gate2017-ec-2
bipolar-junction-transistor
numerical-answers
analog-circuits
+
–
0
votes
0
answers
2937
GATE ECE 2017 Set 2 | Question: 42
In the voltage reference circuit shown in the figure, the op-amp is ideal and the transistors $Q_1, Q_2, \dots ,Q_{32}$ are identical in all respects and have infinitely large values of common-emitter current gain $(\beta)$. The collector current $(Ic)$ ... is $0.7$ V and the thermal voltage $V_T = 26$ mV. The output voltage $V_{out}$ (in volts) is ______________
In the voltage reference circuit shown in the figure, the op-amp is ideal and the transistors $Q_1, Q_2, \dots ,Q_{32}$ are identical in all respects and have infinitely...
admin
46.4k
points
182
views
admin
asked
Nov 25, 2017
Analog Circuits
gate2017-ec-2
op-amps
numerical-answers
analog-circuits
+
–
0
votes
0
answers
2938
GATE ECE 2017 Set 2 | Question: 43
The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input 'In' and an output 'Out'. The initial state of the FSM is $S_0$. ... is $10101101001101$, starting with the left-most bit, then the number of times 'Out' will be $1$ is ____________
The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input 'In' and an output...
admin
46.4k
points
298
views
admin
asked
Nov 25, 2017
Number Representations
gate2017-ec-2
fsm
numerical-answers
digital-circuits
+
–
1
votes
2
answers
2939
GATE ECE 2017 Set 2 | Question: 44
Figure Ⅰ shows a $4$-bit ripple carry adder realized using full adders and Figure Ⅱ shows the circuit of a full-adder (FA). The propagation delay of the XOR, AND and OR gates in Figure Ⅱ are $20$ ns, $15$ ns and $10$ ns, respectively. Assume ... $Y_3Y_2Y_1Y_0=0100$ and $Z_0=1$. The output of the ripple carry adder will be stable at $t$ (in ns) = ___________
Figure Ⅰ shows a $4$-bit ripple carry adder realized using full adders and Figure Ⅱ shows the circuit of a full-adder (FA). The propagation delay of the XOR, AND and ...
admin
46.4k
points
3.3k
views
admin
asked
Nov 25, 2017
Number Representations
gate2017-ec-2
numerical-answers
digital-circuits
combinational-circuits
adder
+
–
1
votes
0
answers
2940
GATE ECE 2017 Set 2 | Question: 45
A programmable logic array (PLA) is shown in the figure. The Boolean function $F$ implemented is $\overline{P} \: \overline{Q}R+ \overline{P}QR+P \overline{Q} \: \overline{R}$ $(\overline{P}+\overline{Q}+R)(\overline{P}+Q+R)(P+\overline{Q}+\overline{R})$ ... $(\overline{P}+\overline{Q}+R)(\overline{P}+Q+R)(P+\overline{Q}+R)$
A programmable logic array (PLA) is shown in the figure. The Boolean function $F$ implemented is$\overline{P} \: \overline{Q}R+ \overline{P}QR+P \overline{Q} \: \overli...
admin
46.4k
points
295
views
admin
asked
Nov 25, 2017
Digital Circuits
gate2017-ec-2
digital-circuits
combinational-circuits
logic-gates
+
–
0
votes
0
answers
2941
GATE ECE 2017 Set 2 | Question: 46
A unity feedback control system is characterized by the open-loop transfer function $G(s)=\frac{2(s+1)}{s^3+ks^2+2s+1}$ The value of $k$ for which the system oscillates at $2$ rad/s is ___________
A unity feedback control system is characterized by the open-loop transfer function $$G(s)=\frac{2(s+1)}{s^3+ks^2+2s+1}$$ The value of $k$ for which the system oscillates...
admin
46.4k
points
276
views
admin
asked
Nov 25, 2017
Control Systems
gate2017-ec-2
numerical-answers
control-systems
feedback-principle
+
–
0
votes
0
answers
2942
GATE ECE 2017 Set 2 | Question: 47
A second-order LTI system is described by the following state equations, $ \begin{array}{ll} \frac{d}{dt}x_1(t)-x_2(t)=0 \\ \frac{d}{dt}x_2(t)+2x_1(t)+3x_2(t)=r(t) \end{array}$ where $x_1(t)$ and $x_2(t)$ are the two state variables and $r(t)$ denotes the input. The output $c(t)=x_1(t)$. The system is undamped (oscillatory) underdamped critically damped overdamped
A second-order LTI system is described by the following state equations, $$ \begin{array}{ll} \frac{d}{dt}x_1(t)-x_2(t)=0 \\ \frac{d}{dt}x_2(t)+2x_1(t)+3x_2(t)=r(t) \end{...
admin
46.4k
points
272
views
admin
asked
Nov 25, 2017
Control Systems
gate2017-ec-2
linear-time-invariant-systems
control-systems
+
–
0
votes
0
answers
2943
GATE ECE 2017 Set 2 | Question: 48
A unity feedback control system is characterized by the open-loop transfer function $G(s)=\frac{10K(s+2)}{s^3+3s^2+10}$ The Nyquist path and the corresponding Nyquist plot of $G(s)$ are shown in the figures below. If $0 < K < 1$, then the number of poles of the closed-loop transfer function that lie in the right-half of the $s$-plane is $0$ $1$ $2$ $3$
A unity feedback control system is characterized by the open-loop transfer function $$G(s)=\frac{10K(s+2)}{s^3+3s^2+10}$$ The Nyquist path and the corresponding Nyquist p...
admin
46.4k
points
252
views
admin
asked
Nov 25, 2017
Control Systems
gate2017-ec-2
control-systems
nyquist
+
–
0
votes
0
answers
2944
GATE ECE 2017 Set 2 | Question: 49
The signal $x(t)=\sin (14000\pi t)$, where $t$ is in seconds, is sampled at a rate of $9000$ samples per second. The sampled signal is the input to an ideal lowpass filter with frequency response $H(f)$ ... $= 3$, frequencies $= 2,7,11$ Number $= 2$, frequencies $= 2,7$ Number $= 2$, frequencies $= 7,11$
The signal $x(t)=\sin (14000\pi t)$, where $t$ is in seconds, is sampled at a rate of $9000$ samples per second. The sampled signal is the input to an ideal lowpass filte...
admin
46.4k
points
339
views
admin
asked
Nov 25, 2017
Continuous-time Signals
gate2017-ec-2
continuous-time-signals
+
–
0
votes
0
answers
2945
GATE ECE 2017 Set 2 | Question: 50
The unmodulated carrier power in an AM transmitter is $5$ kW. This carrier is modulated by a sinusoidal modulating signal. The maximum percentage of modulation is $50 \%$. If it is reduced to $40 \%$, then the maximum unmodulated carrier power (in kW) that can be used without overloading the transmitter is _________
The unmodulated carrier power in an AM transmitter is $5$ kW. This carrier is modulated by a sinusoidal modulating signal. The maximum percentage of modulation is $50 \%$...
admin
46.4k
points
201
views
admin
asked
Nov 25, 2017
Communications
gate2017-ec-2
amplitude-modulation
numerical-answers
communications
+
–
0
votes
0
answers
2946
GATE ECE 2017 Set 2 | Question: 31
The switch in the circuit, shown in the figure, was open for a long time and is closed at $t=0$. The current $i(t)$ (in ampere) at $t=0.5$ seconds is ____________
The switch in the circuit, shown in the figure, was open for a long time and is closed at $t=0$. The current $i(t)$ (in ampere) at $t=0.5$ seconds is ____________
admin
46.4k
points
282
views
admin
asked
Nov 25, 2017
Electronic Devices
gate2017-ec-2
electronic-devices
carrier-transport
+
–
0
votes
0
answers
2947
GATE ECE 2017 Set 2 | Question: 32
Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across P-Q is _____________
Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across P-Q is _____________
admin
46.4k
points
327
views
admin
asked
Nov 25, 2017
Network Solution Methods
gate2017-ec-2
thevenin-theorem
numerical-answers
network-solution-methods
+
–
0
votes
0
answers
2948
GATE ECE 2017 Set 2 | Question: 33
Consider an LTI system with magnitude response $\mid H(f) \mid=\begin{cases} 1-\frac{\mid f \mid}{20}, & \mid f \mid \leq 20 \\ 0,& \mid f \mid > 20 \end{cases}$ and phase response $\arg \{ H(f) \}= - 2f.$ If the input to the ... $y(t)$ is ____________
Consider an LTI system with magnitude response $$\mid H(f) \mid=\begin{cases} 1-\frac{\mid f \mid}{20}, & \mid f \mid \leq 20 \\ 0,& \mid f \mid 20 \end{cases}$$ and pha...
admin
46.4k
points
190
views
admin
asked
Nov 25, 2017
Control Systems
gate2017-ec-2
linear-time-invariant-systems
numerical-answers
control-systems
+
–
0
votes
0
answers
2949
GATE ECE 2017 Set 2 | Question: 34
The transfer function of a causal LTI system is $H(s)=1/s$. If the input to the system is $x(t)=[\sin(t)/\pi t] u(t)$, where $u(t)$ is a unit step function, the system output $y(t)$ as $t\to \infty$ is ____________
The transfer function of a causal LTI system is $H(s)=1/s$. If the input to the system is $x(t)=[\sin(t)/\pi t] u(t)$, where $u(t)$ is a unit step function, the system ou...
admin
46.4k
points
165
views
admin
asked
Nov 25, 2017
Control Systems
gate2017-ec-2
transfer-function
linear-time-invariant-systems
numerical-answers
control-systems
+
–
0
votes
0
answers
2950
GATE ECE 2017 Set 2 | Question: 35
Consider the parallel combination of two LTI systems shown in the figure. The impulse responses of the systems are $ \begin{array} {} h_1(t)=2\delta (t+2)-3\delta (t+1) \\ h_2(t)=\delta (t-2). \end{array}$ If the input $x(t)$ is a unit step signal, then the energy of $y(t)$ is ____________
Consider the parallel combination of two LTI systems shown in the figure.The impulse responses of the systems are $$ \begin{array} {} h_1(t)=2\delta (t+2)-3\delta (t+1) \...
admin
46.4k
points
154
views
admin
asked
Nov 25, 2017
Continuous-time Signals
gate2017-ec-2
impulse-response
numerical-answers
continuous-time-signals
signals-and-systems
+
–
0
votes
0
answers
2951
GATE ECE 2017 Set 2 | Question: 36
A MOS capacitor is fabricated on $p$-type Si (Silicon) where the metal work function is $4.1$ eV and electron affinity of Si is $4.0$ eV. $E_C-E_F=0.9$ eV, where $E_C$ and $E_F$ are the conduction band minimum and the Fermi energy ... capacitor is $-1$ V, then the magnitude of the fixed charge at the oxide-semiconductor interface, in $nC/cm^2$, is ___________.
A MOS capacitor is fabricated on $p$-type Si (Silicon) where the metal work function is $4.1$ eV and electron affinity of Si is $4.0$ eV. $E_C-E_F=0.9$ eV, where $E_C$ an...
admin
46.4k
points
278
views
admin
asked
Nov 25, 2017
Electronic Devices
gate2017-ec-2
mos-capacitor
numerical-answers
electronic-devices
+
–
0
votes
0
answers
2952
GATE ECE 2017 Set 2 | Question: 37
For a particular intensity of incident light on a silicon $pn$ junction solar cell, the photocurrent density $(J_L)$ is $2.5 mA/cm^2$ and the open-circuit voltage ($V_{oc}$) is $0.451$ V. Consider thermal voltage ($V_T$) to ... the incident light is increased by $20$ times, assuming that the temperature remains unchanged, $V_{oc}$ (in volts) will be ____________
For a particular intensity of incident light on a silicon $pn$ junction solar cell, the photocurrent density $(J_L)$ is $2.5 mA/cm^2$ and the open-circuit voltage ($V_{oc...
admin
46.4k
points
100
views
admin
asked
Nov 25, 2017
Analog Circuits
gate2017-ec-2
p-n-junction
numerical-answers
analog-circuits
+
–
0
votes
0
answers
2953
GATE ECE 2017 Set 2 | Question: 38
Two n-channel MOSFETs, T1 and T2, are identical in all respects except that the width of T2 is double that of T1. Both the transistors are biased in the saturation region of operation, but the gate overdrive voltage ($V_{GS}-V_{TH}$ ... $2g_{m1}$ $8I_{D1}$ and $4g_{m1}$ $4I_{D1}$ and $4g_{m1}$ $4I_{D1}$ and $2g_{m1}$
Two n-channel MOSFETs, T1 and T2, are identical in all respects except that the width of T2 is double that of T1. Both the transistors are biased in the saturation region...
admin
46.4k
points
251
views
admin
asked
Nov 25, 2017
Analog Circuits
gate2017-ec-2
mosfet
biasing
analog-circuits
+
–
0
votes
0
answers
2954
GATE ECE 2017 Set 2 | Question: 39
An abrupt $pn$ junction (located at $x=0$) is uniformly doped on both $p$ and $n$ sides. The width of the depletion region is $W$ and the electric field variation in the $x$-direction is $E(x)$. Which of the following figures represents the electric field profile near the $pn$ junction?
An abrupt $pn$ junction (located at $x=0$) is uniformly doped on both $p$ and $n$ sides. The width of the depletion region is $W$ and the electric field variation in the ...
admin
46.4k
points
232
views
admin
asked
Nov 25, 2017
Electronic Devices
gate2017-ec-2
p-n-junction
electronic-devices
+
–
0
votes
0
answers
2955
GATE ECE 2017 Set 2 | Question: 23
A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal-to-quantization noise ratio (SQNR) at the output of the quantizer is $40$ dB. The minimum number of bits per sample needed to achieve the desired SQNR is __________
A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal-to-quantization noise ratio (SQNR) at the output of the quantizer ...
admin
46.4k
points
446
views
admin
asked
Nov 23, 2017
Communications
gate2017-ec-2
digital-communications
numerical-answers
pulse-code-modulation
+
–
0
votes
0
answers
2956
GATE ECE 2017 Set 2 | Question: 24
Two conducting spheres $S1$ and $S2$ of radii $a$ and $b$ ($b>a$) respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure. For some charge placed on this structure, the potential and surface electric ... $E_a<E_b$ $V_a>V_b$ and $E_a>E_b$ $V_a=V_b$ and $E_a>E_b$ $V_a>V_b$ and $E_a=E_b$
Two conducting spheres $S1$ and $S2$ of radii $a$ and $b$ ($b>a$) respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure...
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46.4k
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Nov 23, 2017
Electromagnetics
gate2017-ec-2
electromagnetics
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2957
GATE ECE 2017 Set 2 | Question: 25
A two-wire transmission line terminates in a television set. The VSWR measured on the line is $5.8$. The percentage of power that is reflected from the television set is _________
A two-wire transmission line terminates in a television set. The VSWR measured on the line is $5.8$. The percentage of power that is reflected from the television set is ...
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46.4k
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120
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Nov 23, 2017
Electromagnetics
gate2017-ec-2
transmision-line
numerical-answers
electromagnetics
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0
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0
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2958
GATE ECE 2017 Set 2 | Question: 26
The values of the integrals $\int_{0}^{1}\left ( \int_{0}^{1}\frac{x-y}{(x+y)^3}dy \right )dx$ and $\int_{0}^{1}\left ( \int_{0}^{1}\frac{x-y}{(x+y)^3}dx \right )dy$ are same and equal to $0.5$ same and equal to $-0.5$ $0.5$ and $-0.5$, respectively $-0.5$ and $0.5$, respectively
The values of the integrals $$\int_{0}^{1}\left ( \int_{0}^{1}\frac{x-y}{(x+y)^3}dy \right )dx$$ and $$\int_{0}^{1}\left ( \int_{0}^{1}\frac{x-y}{(x+y)^3}dx \right )dy$$ ...
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46.4k
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84
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Nov 23, 2017
Calculus
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calculus
definite-integrals
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2959
GATE ECE 2017 Set 2 | Question: 27
An integral $I$ over a counterclockwise circle $\textbf{C}$ is given by $I=\oint _c \frac{z^2-1}{z^2+1} e^z dz.$ If $\textbf{C}$ is defined as$\mid z \mid=3$ , then the value of $I$ is $-\pi i \sin(1)$ $- 2\pi i \sin(1)$ $-3\pi i \sin(1)$ $-4\pi i \sin(1)$
An integral $I$ over a counterclockwise circle $\textbf{C}$ is given by $$I=\oint _c \frac{z^2-1}{z^2+1} e^z dz.$$ If $\textbf{C}$ is defined as$\mid z \mid=3$ , then the...
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46.4k
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102
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Nov 23, 2017
Electromagnetics
gate2017-ec-2
electrostatics
electromagnetics
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0
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2960
GATE ECE 2017 Set 2 | Question: 28
If the vector function $\overrightarrow{F}=\widehat{a_x}(3y-k_1z)+\widehat{a_y}(k_2x-2z)-\widehat{a_z}(k_3y+z)$ is irrotational, then the values of the constants $k_1$,$k_2$ and $k_3$, respectively, are $0.3, -2.5, 0.5$ $0.0, 3.0, 2.0$ $0.3, 0.33, 0.5$ $4.0, 3.0, 2.0$
If the vector function $\overrightarrow{F}=\widehat{a_x}(3y-k_1z)+\widehat{a_y}(k_2x-2z)-\widehat{a_z}(k_3y+z)$ is irrotational, then the values of the constants $k_1$,$k...
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133
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Nov 23, 2017
Vector Analysis
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vector-analysis
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