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641
GATE Electrical 2013 | Question: 35
A matrix has eigenvalues $-1$ and $-2$. The corresponding eigenvectors are $\begin{bmatrix} 1\\-1 \end{bmatrix}$ and $\begin{bmatrix} 1\\-2 \end{bmatrix}$ respectibely. The matrix is $\begin{bmatrix} 1 & 1\\ -1 & -2 \end{bmatrix} \\$ ... $\begin{bmatrix} 0& 1\\ -2 & 3 \end{bmatrix}$
A matrix has eigenvalues $–1$ and $–2$. The corresponding eigenvectors are $\begin{bmatrix} 1\\-1 \end{bmatrix}$ and $\begin{bmatrix} 1\\-2 \end{bmatrix}$ respectibel...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Linear Algebra
gate2013-ee
linear-algebra
matrices
eigen-values
eigen-vectors
+
–
0
votes
0
answers
642
GATE Electrical 2013 | Question: 36
$\displaystyle{}\int \frac{z^2-4}{z^2+4}\: dz$ evaluated anticlockwise around the circle $\mid z-i \mid=2$ , where $i=\sqrt{-1}$, is $-4\pi$ $0$ $2+\pi$ $2+2i$
$\displaystyle{}\int \frac{z^2-4}{z^2+4}\: dz$ evaluated anticlockwise around the circle $\mid z-i \mid=2$ , where $i=\sqrt{-1}$, is$-4\pi$$0$$2+\pi$$2+2i$
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Complex Variables
gate2013-ee
complex-variables
cauchys-integral-theorem
+
–
0
votes
0
answers
643
GATE Electrical 2013 | Question: 37
The clock frequency applied to the digital circuit shown in the figure below is $1$ $kHz$. If the initial state of the output $Q$ of the flip-flop is ‘$0$’, then the frequency of the output waveform $Q$ in $kHz$ is $0.25$ $0.5$ $1$ $2$
The clock frequency applied to the digital circuit shown in the figure below is $1$ $kHz$. If the initial state of the output $Q$ of the flip-flop is ‘$0$’, then the ...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Analog and Digital Electronics
gate2013-ee
analog-and-digital-electronics
sequential-circuit
flip-flop
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–
0
votes
0
answers
644
GATE Electrical 2013 | Question: 38
In the circuit shown below, $Q_1$ has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If $V_{cc}$ is +$5$ $V$, $X$ and $Y$ are digital signals with $0$ $V$ as logic $0$ and $V_{cc}$ as logic $1$, then the Boolean expression for $Z$ is $XY$ $\overline{X}Y$ $X\overline{Y}$ $\overline{XY}$
In the circuit shown below, $Q_1$ has negligible collector-to-emitter saturation voltage and the diode drops negligible voltage across it under forward bias. If $V_{cc}$ ...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electrical and Electronic Measurements
gate2013-ee
bjt
common-emitter
biasing
+
–
0
votes
0
answers
645
GATE Electrical 2013 | Question: 39
In the circuit shown below the op-amps are ideal. Then $V_{out}$ in Volts is $4$ $6$ $8$ $10$
In the circuit shown below the op-amps are ideal. Then $V_{out}$ in Volts is$4$$6$$8$$10$
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Analog and Digital Electronics
gate2013-ee
operational-amplifier
reverse-amplifier
+
–
0
votes
0
answers
646
GATE Electrical 2013 | Question: 40
The signal flow graph for a system is given below. The transfer function $\dfrac{Y(s)}{U(s)}$ for this system is $\dfrac{s+1}{5s^2+6s+2} \\$ $\dfrac{s+1}{s^2+6s+2} \\$ $\dfrac{s+1}{s^2+4s+2} \\$ $\dfrac{1}{5s^2+6s+2}$
The signal flow graph for a system is given below. The transfer function $\dfrac{Y(s)}{U(s)}$ for this system is$\dfrac{s+1}{5s^2+6s+2} \\$$\dfrac{s+1}{s^2+6s+2} \\$$\d...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Control Systems
gate2013-ee
controllers
stability
+
–
0
votes
0
answers
647
GATE Electrical 2013 | Question: 41
The impulse response of a continuous time system is given by $h(t)=\delta (t-1)+\delta (t-3).$ The value of the step response at $t=2$ is $0$ $1$ $2$ $3$
The impulse response of a continuous time system is given by $h(t)=\delta (t-1)+\delta (t-3).$ The value of the step response at $t=2$ is$0$$1$$2$$3$
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Signals and Systems
gate2013-ee
impulse-response
step-response
+
–
1
votes
0
answers
648
GATE Electrical 2013 | Question: 42
Two magnetically uncoupled inductive coils have $Q$ factors $q_1$ and $q_2$ at the chosen operating frequency. Their respective resistances are $R_1$ and $R_2$. When connected in series, their effective $Q$ factor at the same operating frequency is $q_1R_1+q_2R_2$ $q_1/R_1+q_2/R_2$ $\big(q_1R_1+q_2R_2\big)/\big(R_1+R_2\big)$ $q_1R_2+q_2R_2$
Two magnetically uncoupled inductive coils have $Q$ factors $q_1$ and $q_2$ at the chosen operating frequency. Their respective resistances are $R_1$ and $R_2$. When conn...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electromagnetic Fields
gate2013-ee
coils
electromagnetism
+
–
0
votes
0
answers
649
GATE Electrical 2013 | Question: 43
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of $0.8$. An ac voltage $V_{WX1}=100V$ is applied across $WX$ to get an open circuit voltage $Y_{YZ1} $ across $YZ$. Next, an ac voltage$V_{YZ2}=100V$ is applied ... , $125/100$ and $80/100$ $100/100$ and $80/100$ $100/100$ and $100/100$ $80/100$ and $80/100$
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of $0.8$. An ac voltage $V_{WX1}=100V$ is applied across $WX$ t...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electrical Machines
gate2013-ee
turn-ratio
primary
secondary
+
–
0
votes
0
answers
650
GATE Electrical 2013 | Question: 44
Thyristor $T$ in the figure below is initially off and is triggered with a single pulse of width $10$ $μs$. It is given that $L=\bigg(\dfrac{100}{\pi }\bigg)\mu H$ and $C=\bigg(\dfrac{100}{\pi }\bigg)\mu F$. Assuming latching and holding currents of the ... zero and the initial charge on $C$ is zero, $T$ conducts of $10\mu s$ $50\mu s$ $100\mu s$ $200\mu s$
Thyristor $T$ in the figure below is initially off and is triggered with a single pulse of width $10$ $μs$. It is given that $L=\bigg(\dfrac{100}{\pi }\bigg)\mu H$ and...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Analog and Digital Electronics
gate2013-ee
gate-signal
converters
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–
0
votes
0
answers
651
GATE Electrical 2013 | Question: 45
A $4$ – pole induction motor, supplied by a slightly unbalanced three-phase $50 Hz$ source, is rotating at $1400\:rpm$. The electrical frequency in $Hz$ of the induced negative sequence current in the rotor is $100$ $98$ $52$ $48$
A $4$ – pole induction motor, supplied by a slightly unbalanced three-phase $50 Hz$ source, is rotating at $1400\:rpm$. The electrical frequency in $Hz$ of the induced ...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Power Systems
gate2013-ee
salient-poles
sequence-current
+
–
0
votes
0
answers
652
GATE Electrical 2013 | Question: 23
Square roots of $-i$,where $i=\sqrt{-1}$, are $i,-i \\$ $\cos(-\dfrac{\pi }{4} )+i\sin(-\dfrac{\pi }{4})+\cos(\dfrac{3\pi }{4})+i\sin(\dfrac{3\pi }{4}) \\$ $\cos(\dfrac{\pi }{4} )+i\sin(\dfrac{3\pi }{4})+\cos(\dfrac{3\pi }{4})+i\sin(\dfrac{\pi }{4}) \\$ $\cos(\dfrac{3\pi }{4} )+i\sin(-\dfrac{3\pi }{4})+\cos(-\dfrac{3\pi }{4})+i\sin(\dfrac{3\pi }{4})$
Square roots of $-i$,where $i=\sqrt{-1}$, are$i,-i \\$$\cos(-\dfrac{\pi }{4} )+i\sin(-\dfrac{\pi }{4})+\cos(\dfrac{3\pi }{4})+i\sin(\dfrac{3\pi }{4}) \\$$\cos(\dfrac{\pi ...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Complex Variables
gate2013-ee
complex-variables
complex-number
trigonometry
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–
0
votes
0
answers
653
GATE Electrical 2013 | Question: 24
Given a vector field $\textbf{F}=y^2x \textbf{a}_x-yz \textbf{a}_y-x^2 \textbf{a}_z$ the line integral $\int \textbf{F} \cdot d \textbf{l}$ evaluated along a segment on the $x$-axis from $x=1$ to $x=2$ is $-2.33$ $0$ $2.33$ $7$
Given a vector field $\textbf{F}=y^2x \textbf{a}_x-yz \textbf{a}_y-x^2 \textbf{a}_z$ the line integral $\int \textbf{F} \cdot d \textbf{l}$ evaluated along a segment on t...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Calculus
gate2013-ee
calculus
field-vector
integral
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–
0
votes
0
answers
654
GATE Electrical 2013 | Question: 25
The equation$\begin{bmatrix} 2&-2 \\ 1& -1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}=\begin{bmatrix} 0\\0 \end{bmatrix}$ has no solution only one solution $\begin{bmatrix} x1\\x2 \end{bmatrix}=\begin{bmatrix} 0\\0 \end{bmatrix}$ non-zero unique solution multiple solutions
The equation$\begin{bmatrix} 2&-2 \\ 1& -1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}=\begin{bmatrix} 0\\0 \end{bmatrix}$ hasno solutiononly one solution $\begi...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Linear Algebra
gate2013-ee
linear-algebra
matrices
system-of-linear-equations
+
–
0
votes
1
answer
655
GATE Electrical 2013 | Question: 26
A strain gauge forms one arm of the bridge shown in the figure below and has a nominal resistance without any load as $R_s = 300$ . Other bridge resistances are $R_1 = R_2 = R_3 = 300$ . The maximum permissible current through the strain gauge is $20\:mA$. During ... $V_0$ in $mV$ is $56.02$ $40.83$ $29.85$ $10.02$
A strain gauge forms one arm of the bridge shown in the figure below and has a nominal resistance without any load as $R_s = 300$ . Other bridge resistances are $R_1 = R_...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electric Circuits
gate2013-ee
bridge-circuit
variable-resistor
+
–
0
votes
0
answers
656
GATE Electrical 2013 | Question: 27
In the circuit shown below, the knee current of the ideal Zener diode is $10$ $mA$. To maintain $5$ $V$ across $R_L$ minimum value of $R_L$ in $\Omega$ and the minimum power rating of the Zener diode in $mW$ respectively are $125$ and $125$ $125$ and $250$ $250$ and $125$ $250$ and $250$
In the circuit shown below, the knee current of the ideal Zener diode is $10$ $mA$. To maintain $5$ $V$ across $R_L$ minimum value of $R_L$ in $\Omega$ and the minimum po...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electric Circuits
gate2013-ee
reverse-saturation-current
nodal-analysis
+
–
0
votes
0
answers
657
GATE Electrical 2013 | Question: 28
The open-loop transfer function of a dc motor is given as $\dfrac{\omega (s)}{V_a(s)}=\dfrac{10}{1+10s}$.When connected in feedback as shown below, the approximate value of $K_a$ that will reduce the time constant of the closed loop system by one hundred times as compared to that of the open-loop system is $1$ $5$ $10$ $100$
The open-loop transfer function of a dc motor is given as $\dfrac{\omega (s)}{V_a(s)}=\dfrac{10}{1+10s}$.When connected in feedback as shown below, the approximate value ...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Control Systems
gate2013-ee
feed-back-system
closed-loop-system
+
–
0
votes
0
answers
658
GATE Electrical 2013 | Question: 29
In the circuit shown below, if the source voltage $V_S=100 \: \angle$ $53.13^{\circ}$ V then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_L$ is $100\angle 90^{\circ}$ $800\angle 0^{\circ}$ $800\angle 90^{\circ}$ $100\angle 60^{\circ}$
In the circuit shown below, if the source voltage $V_S=100 \: \angle$ $53.13^{\circ}$ V then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electric Circuits
gate2013-ee
thevinin-circuit
mesh-analysis
+
–
0
votes
0
answers
659
GATE Electrical 2013 | Question: 30
Three capacitors $C_1, C_2$, and $C_3$, whose values are $10\mu F, 5\mu F$, and $2\mu F$ respectively, have breakdown voltages of $10V$, $5V$, and $12V$ respectively. For the interconnection shown, the maximum safe voltage in Volts that can be applied ... capacitance across the terminals are respectively $2.8$and $36$ $7$ and $19$ $2.8$ and $32$ $7$ and $80$
Three capacitors $C_1, C_2$, and $C_3$, whose values are $10\mu F, 5\mu F$, and $2\mu F$ respectively, have breakdown voltages of $10V$, $5V$, and $12V$ respectively. For...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electric Circuits
gate2013-ee
equivalent-circuit
parallel-combination
+
–
0
votes
0
answers
660
GATE Electrical 2013 | Question: 31
A voltage $1000 \sin \omega t$ Volts is applied across $YZ$. Assuming ideal diodes, the voltage measured across $WX$ in Volts is $\sin \omega t$ $(\sin \omega t + \sin \omega t ) / 2$ $(\sin \omega t - \sin \omega t ) / 2$ $0$ for all $t$
A voltage $1000 \sin \omega t$ Volts is applied across $YZ$. Assuming ideal diodes, the voltage measured across $WX$ in Volts is$\sin \omega t$$(\sin \omega t + \sin \ome...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electric Circuits
gate2013-ee
closed-loop
diode
+
–
0
votes
0
answers
661
GATE Electrical 2013 | Question: 32
The separately excited $dc$ motor in the figure below has a rated armature current of $20A$ and a rated armature voltage of $150$ $V$. An ideal chopper switching at $5\:kHz$ is used to control the armature voltage. If $L_a$= $0.1$ $mH$, $R_a= 1\Omega$, ... obtain $50\%$ of the rated torque at the rated speed and the rated field current is $0.4$ $0.5$ $0.6$ $0.7$
The separately excited $dc$ motor in the figure below has a rated armature current of $20A$ and a rated armature voltage of $150$ $V$. An ideal chopper switching at $5\:k...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electrical and Electronic Measurements
gate2013-ee
motors
drives
+
–
0
votes
0
answers
662
GATE Electrical 2013 | Question: 33
For a power system network with $n$ nodes, $Z_{33}$ of its bus impedance matrix is $j0.5$ per unit. The voltage at node $3$ is $1.3\angle -10^{\circ}$ per unit. If a capacitor having reactance of $-j3.5$ ... $0.325\angle -100^{\circ}$ $0.325\angle 80^{\circ}$ $0.371\angle -100^{\circ}$ $0.433\angle 80^{\circ}$
For a power system network with $n$ nodes, $Z_{33}$ of its bus impedance matrix is $j0.5$ per unit. The voltage at node $3$ is $1.3\angle -10^{\circ}$ per unit. If a cap...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Power Systems
gate2013-ee
bus-impedance-matrix
source
+
–
0
votes
0
answers
663
GATE Electrical 2013 | Question: 34
A dielectric slab with $500$ mm $\times 500$ mm cross-section is $0.4\:m$ long. The slab is subjected to a uniform electric field of $\textbf{E}=6 \textbf{a}_x+8 \textbf{a}_y\: KV/mm$. The relative permittivity of the dielectric material is equal to $2$ ... The energy stored in the dielectric in Joules is $8.85 \times10^{-11}$ $8.85 \times 10^{-15}$ $88.5$ $885$
A dielectric slab with $500$ mm $\times 500$ mm cross-section is $0.4\:m$ long. The slab is subjected to a uniform electric field of $\textbf{E}=6 \textbf{a}_x+8 \textbf{...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electromagnetic Fields
gate2013-ee
coulombs-law
electromagnetism
+
–
0
votes
0
answers
664
GATE Electrical 2013 | Question: 13
In the feedback network shown below,if the feedback factor $k$ is increased, then the input impedance increases and output impedance decreases. input impedance increases and output impedance also increases. input impedance decreases and output impedance also decreases. input impedance decreases and output impedance increases.
In the feedback network shown below,if the feedback factor $k$ is increased, then theinput impedance increases and output impedance decreases.input impedance increases an...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Control Systems
gate2013-ee
network-analysis
branches
+
–
0
votes
0
answers
665
GATE Electrical 2013 | Question: 14
The input impedance of the permanent magnet moving coil $(PMMC)$ voltmeter is infinite. Assuming that the diode shown in the figure below is ideal, the reading of the voltmeter in Volts is $4.46$ $3.15$ $2.23$ $0$
The input impedance of the permanent magnet moving coil $(PMMC)$ voltmeter is infinite. Assuming that the diode shown in the figure below is ideal, the reading of the vol...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Analog and Digital Electronics
gate2013-ee
tube
diode
electronics
+
–
0
votes
0
answers
666
GATE Electrical 2013 | Question: 15
The Bode plot of a transfer function $G(s)$ is shown in the figure below. The gain $\big(20 \log\mid G(s) \mid \big)$ is $32 dB$ and $-8 dB$ at $1$ rad/s and $10$ rad/s respectively. The phase is negative for all $\omega$. Then $G(s)$ is $\dfrac{39.8}{s} \\$ $\dfrac{39.8}{s^2} \\$ $\dfrac{32}{s} \\$ $\dfrac{32}{s^2}$
The Bode plot of a transfer function $G(s)$ is shown in the figure below.The gain $\big(20 \log\mid G(s) \mid \big)$ is $32 dB$ and $-8 dB$ at $1$ rad/s and $10$ rad/s r...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Control Systems
gate2013-ee
gain
stability
+
–
0
votes
0
answers
667
GATE Electrical 2013 | Question: 16
A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned $ON$ and also can be turned $OFF$ by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles an $AND$ gate an $OR$ gate an $XOR$ gate a $NAND$ gate
A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned $ON$ and also can be turned $OFF...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Analog and Digital Electronics
gate2013-ee
logic-gates
truth-table
+
–
0
votes
0
answers
668
GATE Electrical 2013 | Question: 17
For a periodic signal $v(t) = 30 \sin100t +10 \cos 300t + 6 \sin (500t+\pi /4)$, the fundamental frequency in $rad/s$ is $100$ $300$ $500$ $1500$
For a periodic signal $v(t) = 30 \sin100t +10 \cos 300t + 6 \sin (500t+\pi /4)$, the fundamental frequency in $rad/s$ is$100$$300$$500$$1500$
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Signals and Systems
gate2013-ee
periodicity
sinusoidal
+
–
0
votes
0
answers
669
GATE Electrical 2013 | Question: 18
A band-limited signal with a maximum frequency of $5\:kHz$ is to be sampled. According to the sampling theorem, the sampling frequency in $kHz$ which is not valid is $5$ $12$ $15$ $20$
A band-limited signal with a maximum frequency of $5\:kHz$ is to be sampled. According to the sampling theorem, the sampling frequency in $kHz$ which is not valid is$5$$1...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Analog and Digital Electronics
gate2013-ee
band-width
sampling-theorem
+
–
0
votes
0
answers
670
GATE Electrical 2013 | Question: 19
Consider a $\delta$ connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor $k, k > 0$, the elements of the corresponding star equivalent will be scaled by a factor of $k^2$ $k$ $1/ k$ $\sqrt{k}$
Consider a $\delta$ connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor $k, k 0$, t...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Power Systems
gate2013-ee
delta-connection
wye-connection
+
–
0
votes
0
answers
671
GATE Electrical 2013 | Question: 20
The angle $\delta$ in the swing equation of a synchronous generator is the angle between stator voltage and current. angular displacement of the rotor with respect to the stator. angular displacement of the stator $\text{mmf}$ with ... a synchronously rotating axis. angular displacement of an axis fixed to the rotor with respect to a synchronously rotating axis.
The angle $\delta$ in the swing equation of a synchronous generator is theangle between stator voltage and current.angular displacement of the rotor with respect to the s...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electrical Machines
gate2013-ee
magneto-motive-force
cage-type-rotor
+
–
0
votes
0
answers
672
GATE Electrical 2013 | Question: 21
Leakage flux in an induction motor is flux that leaks through the machine flux that links both stator and rotor windings flux that links none of the windings flux that links the stator winding or the rotor winding but not both
Leakage flux in an induction motor isflux that leaks through the machineflux that links both stator and rotor windingsflux that links none of the windingsflux that links ...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electrical Machines
gate2013-ee
magnetic-flux
stator-winding
+
–
1
votes
0
answers
673
GATE Electrical 2013 | Question: 22
Three moving iron type voltmeters are connected as shown below. Voltmeter readings are $V$, $V1$ and $V2$ , as indicated. The correct relation among the voltmeter readings is $V=\dfrac{V1}{\sqrt{2}}+\dfrac{V2}{\sqrt{2}}$ $V =V_1 +V_2$ $V =V_1V_2$ $V =V_2 - V_1$
Three moving iron type voltmeters are connected as shown below. Voltmeter readings are $V$, $V1$ and $V2$ , as indicated. The correct relation among the voltmeter reading...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Electric Circuits
gate2013-ee
voltage-source
lc-filter
+
–
0
votes
0
answers
674
GATE Electrical 2013 | Question: 2
The transfer function $\dfrac{V2(s)}{V1(s)}$ of the circuit shown below is $\dfrac{0.5s+1}{s+1} \\$ $\dfrac{3s+6}{s+2} \\$ $\dfrac{s+2}{s+1} \\$ $\dfrac{s+1}{s+2}$
The transfer function $\dfrac{V2(s)}{V1(s)}$ of the circuit shown below is$\dfrac{0.5s+1}{s+1} \\$$\dfrac{3s+6}{s+2} \\$$\dfrac{s+2}{s+1} \\$$\dfrac{s+1}{s+2}$
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Control Systems
gate2013-ee
block-diagram
voltage-source
+
–
0
votes
0
answers
675
GATE Electrical 2013 | Question: 3
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is? $u(t) \\$ $t\:u(t) \\$ $\dfrac{t^2}{2}u(t) \\$ $e^{-t}u(t)$
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is? $u(t) \\$$t\:u(t) \\$$\dfrac{t^2}{2}u(t) \\$$e^{-t}u(t)$
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Control Systems
gate2013-ee
impulse-response
step-function
+
–
0
votes
0
answers
676
GATE Electrical 2013 | Question: 4
The impulse response a the system is $h(t)=t\:u(t).$ For an input $u(t-1)$, the output is $\dfrac{t^2}{2}u(t) \\$ $\dfrac{t(t-1)}{2}u(t-1) \\$ $\dfrac{(t-1)^2}{2}u(t-1) \\$ $\dfrac{t^2-1}{2}u(t-1)$
The impulse response a the system is $h(t)=t\:u(t).$ For an input $u(t-1)$, the output is$\dfrac{t^2}{2}u(t) \\$$\dfrac{t(t-1)}{2}u(t-1) \\$$\dfrac{(t-1)^2}{2}u(t-1) \\$$...
piyag476
1.6k
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piyag476
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Feb 11, 2017
Signals and Systems
gate2013-ee
fourier-transform
sampling-theorem
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–
0
votes
0
answers
677
GATE Electrical 2013 | Question: 5
Which of the following statement is NOT TRUE for a continuous time causal and stable $LTI$ system? All the poles of the system must lie on the left side of $j\omega$ axis Zeros of the system can lie anywhere in the $s$ - plane All the poles ... within $\mid s\mid=1$ All the roots of the characteristic equation must be located on the left side of $j\omega$ axis
Which of the following statement is NOT TRUE for a continuous time causal and stable $LTI$ system?All the poles of the system must lie on the left side of $j\omega$ axisZ...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Control Systems
gate2013-ee
stability
block-diagram
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–
0
votes
0
answers
678
GATE Electrical 2013 | Question: 6
Two systems with impulse responses $h_1(t)$ and $h_2(t)$ are connected in cascade.then the overall impulse response of the cascaded system is given by Product of $h_1(t)$ and $h_2(t)$ Sum of $h_1(t)$ and $h_2(t)$ convolution of $h_1(t)$ and $h_2(t)$ subtraction of $h_2(t)$ from $h_1(t)$
Two systems with impulse responses $h_1(t)$ and $h_2(t)$ are connected in cascade.then the overall impulse response of the cascaded system is given byProduct of $h_1(t)$ ...
piyag476
1.6k
points
piyag476
asked
Feb 11, 2017
Signals and Systems
gate2013-ee
convolution
multiplication
addition
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–
0
votes
0
answers
679
GATE Electrical 2013 | Question: 7
A source $V_s(t) =V\cos100\pi t$ has an internal impedance of $(4+j3) \Omega$.If a purely resistive load connected to this source has to extract the maximum power out of source, its value in $\Omega$ should be $3$ $4$ $5$ $7$
A source $V_s(t) =V\cos100\pi t$ has an internal impedance of $(4+j3) \Omega$.If a purely resistive load connected to this source has to extract the maximum power out of ...
piyag476
1.6k
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piyag476
asked
Feb 11, 2017
Electric Circuits
gate2013-ee
nodal-analysis
mesh-analysis
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–
0
votes
0
answers
680
GATE Electrical 2013 | Question: 8
A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is $10\angle -150^0\: A$ and if the voltage at the load terminals is $100\angle 60^0\: V$, ... absorbs real power and absorbs reactive power. Load delivers real power and delivers reactive power. Load delivers real power and absorbs reactive power.
A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is $10\angle -150^0\: A$ and if the voltage at the lo...
piyag476
1.6k
points
piyag476
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Feb 11, 2017
Power Systems
gate2013-ee
reactive-power
real-power
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