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441
GATE Electrical 2017 Set 1 | Question: 33
The transfer function of the system $Y(s)/U(s)$ ... $\frac{(s-4)}{(s^{2}+s-4)} \\ $ $\frac{(s+4)}{(s^{2}-s-4)} \\$
The transfer function of the system $Y(s)/U(s)$ whose state-space equations are given below is:$\begin{bmatrix} \dot{x}_{1}(t)\\ \dot{x}_{2}(t) \end{bmatrix}=\begin{bma...
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443
GATE Electrical 2017 Set 1 | Question: 35
The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will be
The approximate transfer characteristic for the circuit shown below with an ideal operational amplifier and diode will be
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444
GATE Electrical 2017 Set 1 | Question: 37
The logical gate implemented using the circuit shown below where $V_{1}$ and $V_{2}$ are inputs (with $0$V as digital $0$ and $5$V as digital $1$) and $V_{out}$ is the output, is NOT NOR NAND XOR
The logical gate implemented using the circuit shown below where $V_{1}$ and $V_{2}$ are inputs (with $0$V as digital $0$ and $5$V as digital $1$) and $V_{out}$ is the ou...
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447
GATE Electrical 2017 Set 1 | Question: 41
The switch in the figure below was closed for a long time. It is opened at $t=0$. The current in the inductor of $2$H for $t \geq 0$, is $2.5e^{-4t}$ $5e^{-4t}$ $2.5e^{-0.25t}$ $5e^{-0.25t}$
The switch in the figure below was closed for a long time. It is opened at $t=0$. The current in the inductor of $2$H for $t \geq 0$, is $2.5e^{-4t}$$5e^{-4t}$$2.5e^{-0.2...
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450
GATE Electrical 2017 Set 1 | Question: 22
Consider the unity feedback control system shown. The value of $K$ that results in a phase margin of the system to be $30^{\circ}$ is _________. (Give the answer up to two decimal places.)
Consider the unity feedback control system shown. The value of $K$ that results in a phase margin of the system to be $30^{\circ}$ is _________. (Give the answer up to tw...
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452
GATE Electrical 2017 Set 1 | Question: 24
In the converter circuit shown below, the switches are controlled such that the load voltage $v_{0}(t)$ is a $400$ Hz square wave. The RMS value of the fundamental component of $v_{0}(t)$ in volts is ________.
In the converter circuit shown below, the switches are controlled such that the load voltage $v_{0}(t)$ is a $400$ Hz square wave.The RMS value of the fundamental compone...
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453
GATE Electrical 2017 Set 1 | Question: 25
A $3$-phase voltage source inverter is supplied from a $600V$ DC source as shown in the figure below. For a star connected resistive load of $20\Omega$ per phase, the load power for $120^{\circ}$ device conduction, in kW, is ________.
A $3$-phase voltage source inverter is supplied from a $600V$ DC source as shown in the figure below. For a star connected resistive load of $20\Omega$ per phase, the loa...
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454
GATE Electrical 2017 Set 1 | Question: 29
The passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port $1$. Given $V_{1}=A_{1}V_{2}+B_{1}I_{2}$ $I_{1}=C_{1}V_{2}+D_{1}I_{2}$ $V_{2}=A_{2}V_{3}+B_{2}I_{3}$ $I_{2}=C_{2}V_{3}+D_{2}I_{3}$ ...
The passive two-port networks are connected in cascade as shown in figure. A voltage source is connected at port $1$.Given$V_{1}=A_{1}V_{2}+B_{1}I_{2}$$I_{1}=C_{1}V_{2}+D...
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455
GATE Electrical 2017 Set 1 | Question: 11
A closed loop system has the characteristic equation given by $s^{3}+Ks^{2}+(K+2)s+3=0$. For this system to be stable, which one of the following conditions should be satisfied? $0 < K < 0.5$ $0.5 < K < 1$ $0 < K < 1$ $K > 1$
A closed loop system has the characteristic equation given by $s^{3}+Ks^{2}+(K+2)s+3=0$. For this system to be stable, which one of the following conditions should be sat...
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456
GATE Electrical 2017 Set 1 | Question: 14
For the circuit shown in the figure below, assume that diodes $D_{1}, D_{2}$ and $D_{3}$ are ideal. The $DC$ components of voltages $v_{1}$ and $v_{2}$, respectively are $0$V and $1$V $-0.5$V and $0.5$V $1$V and $0.5$V $1$V and $1$V
For the circuit shown in the figure below, assume that diodes $D_{1}, D_{2}$ and $D_{3}$ are ideal. The $DC$ components of voltages $v_{1}$ and $v_{2}$, respectively are$...
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459
GATE Electrical 2017 Set 1 | Question: 18
The power supplied by the $25$V source in the figure shown below is __________ $W$.
The power supplied by the $25$V source in the figure shown below is __________ $W$.
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460
GATE Electrical 2017 Set 1 | Question: 19
The equivalent resistance between the terminals $A$ and $B$ is __________ $\Omega$.
The equivalent resistance between the terminals $A$ and $B$ is __________ $\Omega$.
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461
GATE Electrical 2017 Set 1 | Question: 3
Let $z(t) = x(t) *y(t)$, where "*" denotes convolution. Let $c$ be a positive real-valued constant. Choose the correct expression for $z(ct)$. $c . x(ct) * y (ct)$ $x (ct) * y (ct)$ $c . x (t) * y(ct)$ $c . x (ct) * y(t)$
Let $z(t) = x(t) *y(t)$, where "*" denotes convolution. Let $c$ be a positive real-valued constant. Choose the correct expression for $z(ct)$.$c . x(ct) * y (ct)$$x (ct) ...
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465
GATE Electrical 2017 Set 1 | Question: 7
Consider the system with following input-output relation $y[n]=(1+(-1)^{n}x[n]$ where, $x[n]$ is the input and $y[n]$ is the output. The system is Invertible and time invariant Invertible and time varying Non-invertible and time invariant Non-invertible and time varying
Consider the system with following input-output relation$y[n]=(1+(-1)^{n}x[n]$where, $x[n]$ is the input and $y[n]$ is the output. The system isInvertible and time invari...
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466
GATE Electrical 2017 Set 1 | Question: 8
A $4$ pole induction machine is working as an induction generator. The generator supply frequency is $60$Hz. The rotor current frequency is $5$Hz. The mechanical speed of the rotor in $RPM$ is $1350$ $1650$ $1950$ $2250$
A $4$ pole induction machine is working as an induction generator. The generator supply frequency is $60$Hz. The rotor current frequency is $5$Hz. The mechanical speed of...
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469
GATE Electrical 2015 Set 2 | Question: 51
Two three-phase transformers are realized using single-phase transformers as shown in the figure. The phase difference (in degree) between voltages $V_{1}$ and $V_{2}$ is _______.
Two three-phase transformers are realized using single-phase transformers as shown in the figure.The phase difference (in degree) between voltages $V_{1}$ and $V_{2}$ is ...
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471
GATE Electrical 2015 Set 2 | Question: 53
The unit step response of a system with the transfer function $G(s)=\dfrac{1-2s}{1+s}$ is given by which one of the following waveforms?
The unit step response of a system with the transfer function $G(s)=\dfrac{1-2s}{1+s}$ is given by which one of the following waveforms?
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472
GATE Electrical 2015 Set 2 | Question: 54
An open loop transfer function $G(s)$ of a system is $G(s)=\dfrac{k}{s(s+1)(s+2)}$ For a unity feedback system, the breakaway point of the root loci on the real axis occurs at, $−0.42$ $−1.58$ $−0.42$ and $−1.58$ None of the above
An open loop transfer function $G(s)$ of a system is$G(s)=\dfrac{k}{s(s+1)(s+2)}$For a unity feedback system, the breakaway point of the root loci on the real axis occurs...
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473
GATE Electrical 2015 Set 2 | Question: 55
For the system governed by the set of equations: $dx_{1}/dt=2x_{1}+x_{2}+u$ $dx_{2}/dt=-2x_{1}+u$ $y=3 x_{1}$ the transfer function $Y(s)/U(s)$ is given by $3(s+1)/(s^{2}-2s+2)$ $3(2s+1)/(s^{2}-2s+1)$ $(s+1)/(s^{2}-2s+1)$ $3(2s+1)/(s^{2}-2s+2)$
For the system governed by the set of equations:$dx_{1}/dt=2x_{1}+x_{2}+u$$dx_{2}/dt=-2x_{1}+u$$y=3 x_{1}$the transfer function $Y(s)/U(s)$ is given by$3(s+1)/(s^{2}-2s+2...
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476
GATE Electrical 2015 Set 2 | Question: 41
A composite conductor consists of three conductors of radius $R$ each. The conductors are arranged as shown below. The geometric mean radius $(GMR)$ (in cm) of the composite conductor is $kR$. The value of $k$ is __________.
A composite conductor consists of three conductors of radius $R$ each. The conductors are arranged as shown below. The geometric mean radius $(GMR)$ (in cm) of the compos...
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479
GATE Electrical 2015 Set 2 | Question: 44
In the given network $V_{1}=100\angle 0^{\circ}V, V_{2}=100\angle -120^{\circ}V, V_{3}=100\angle +120^{\circ}V$. The phasor current $i$ (in Ampere) is $173.2\angle -60^{\circ}$ $173.2\angle 120^{\circ}$ $100.0\angle -60^{\circ}$ $100.0\angle 120^{\circ}$
In the given network $V_{1}=100\angle 0^{\circ}V, V_{2}=100\angle -120^{\circ}V, V_{3}=100\angle +120^{\circ}V$. The phasor current $i$ (in Ampere) is$173.2\angle -60^{\c...
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