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441
GATE Electrical 2018 | Question: 51
A $3$-phase $900$ kVA, $3 \: kV/ \sqrt{3} kV$ ( $\Delta/$), $50$ Hz transformer has primary (high voltage side) resistance per phase of $0.3 \: \Omega$ and secondary (low voltage side) resistance per phase of $0.02 \: \Omega$. ... is $10 \: kW$. The full load $\%$ efficiency of the transformer operated at unity power factor is _______ (up to $2$ decimal places)
A $3$-phase $900$ kVA, $3 \: kV/ \sqrt{3} kV$ ( $\Delta/$), $50$ Hz transformer has primary (high voltage side) resistance per phase of $0.3 \: \Omega$ and secondary (low...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2018
new
gate2018-ee
numerical-answers
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442
GATE Electrical 2018 | Question: 50
The figure shows two buck converters connected in parallel. The common input dc voltage for the converters has a value of $100 \: V$. The converters have inductors of identical value. The load resistance is $1 \: \Omega$. The capacitor voltage has negligible ... of $i_{s1}$, the current of switch $S1$ (in Ampere), is ____________ (up to $2$ decimal places).
The figure shows two buck converters connected in parallel. The common input dc voltage for the converters has a value of $100 \: V$. The converters have inductors of ide...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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numerical-answers
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443
GATE Electrical 2018 | Question: 49
A phase controlled single phase rectifier, supplied by an AC source, feeds power to an $R-L-E$ load as shown in the figure. The rectifier output voltage has an average value given by $V_{\text{o}}= \frac{V_m}{2 \pi} (3+\cos \alpha)$, ... . If the power delivered to the lossless battery is $1600$ W, $\alpha$ in degree is ___________ (up to $2$ decimal places).
A phase controlled single phase rectifier, supplied by an AC source, feeds power to an $R-L-E$ load as shown in the figure. The rectifier output voltage has an average va...
Arjun
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Arjun
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Feb 19, 2018
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444
GATE Electrical 2018 | Question: 48
The voltage across the circuit in the figure, and the current through it, are given by the following expressions: $v(t)=5-10 \cos (\omega t+ 60^{\circ}) \: V$ $i(t)=5 + X \cos (\omega t) \: A$ where $\omega =100 \: \pi \text{ radian}/s$. If the average power delivered to the circuit is zero, then the value of $X$ (in Ampere) is _______ (up to $2$ decimal places)
The voltage across the circuit in the figure, and the current through it, are given by the following expressions:$v(t)=5-10 \cos (\omega t+ 60^{\circ}) \: V$$i(t)=5 + X \...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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445
GATE Electrical 2018 | Question: 47
A three-phase load is connected to a three-phase balanced supply as shown in the figure. If $V_{\text{an}} = 100 \angle 0^{\circ} \: V$, $V_{\text{bn}}=100 \angle - 120 ^{\circ} \: V$ ... in the anti-clockwise direction), the value of $R$ for zero current in the neutral wire is __________ $\Omega$ (up to $2$ decimal places).
A three-phase load is connected to a three-phase balanced supply as shown in the figure. If $V_{\text{an}} = 100 \angle 0^{\circ} \: V$, $V_{\text{bn}}=100 \angle – 120...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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446
GATE Electrical 2018 | Question: 46
The unit step response $y(t)$ of a unity feedback system with open loop transfer function $G(s)H(s)= \frac{K}{(s+1)^2(s+2)}$ is shown in the figure. The value of $K$ is ___________ (up to $2$ decimal places).
The unit step response $y(t)$ of a unity feedback system with open loop transfer function $G(s)H(s)= \frac{K}{(s+1)^2(s+2)}$ is shown in the figure. The value of $K$ is _...
Arjun
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Arjun
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Feb 19, 2018
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447
GATE Electrical 2018 | Question: 45
The capacitance of an air-filled parallel-plate capacitor is $60$ pF. When a dielectric slab whose thickness is half the distance between the plates, is placed on one of the plates covering it entirely, the capacitance becomes $86$ pF. Neglecting the fringing effects, the relative permittivity of the dielectric is ___________ (up to $2$ decimal places)
The capacitance of an air-filled parallel-plate capacitor is $60$ pF. When a dielectric slab whose thickness is half the distance between the plates, is placed on one of ...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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numerical-answers
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448
GATE Electrical 2018 | Question: 44
Let $A= \begin{bmatrix} 1 & 0 & -1 \\ -1 & 2 & 0 \\ 0 & 0 & -2 \end{bmatrix}$ and $B=A^3-A^2-4A+5I$, where $I$ is the $3 \times 3$ identify matrix. The determinant of $B$ is _______ (up to $1$ decimal place).
Let $A= \begin{bmatrix} 1 & 0 & -1 \\ -1 & 2 & 0 \\ 0 & 0 & -2 \end{bmatrix}$ and $B=A^3-A^2-4A+5I$, where $I$ is the $3 \times 3$ identify matrix. The determinant of $B$...
Arjun
15.9k
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Arjun
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Feb 19, 2018
Linear Algebra
gate2018-ee
numerical-answers
linear-algebra
matrices
determinant
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449
GATE Electrical 2018 | Question: 43
Let $f(x) = 3x^3-7x^2+5x+6$. The maximum value of $f(x)$ over the interval $[0,2]$ is ________ (up to one decimal place).
Let $f(x) = 3x^3-7x^2+5x+6$. The maximum value of $f(x)$ over the interval $[0,2]$ is ________ (up to one decimal place).
Arjun
15.9k
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Arjun
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Feb 19, 2018
Calculus
gate2018-ee
numerical-answers
calculus
maxima-minima
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450
GATE Electrical 2018 | Question: 42
As shown in the figure, $C$ is the arc from the point $(3,0)$ to the point $(0,3)$ on the circle $x^2+y^2=9$. The value of the integral $\int_C (y^2+2yx) dx +(2xy+x^2)dy$ is ________ (up to $2$ decimal places).
As shown in the figure, $C$ is the arc from the point $(3,0)$ to the point $(0,3)$ on the circle $x^2+y^2=9$. The value of the integral $\int_C (y^2+2yx) dx +(2xy+x^2)dy$...
Arjun
15.9k
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Arjun
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Feb 19, 2018
Calculus
gate2018-ee
numerical-answers
calculus
definite-integral
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451
GATE Electrical 2018 | Question: 41
In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain $\beta = 100$. The base-emitter voltage drop is a constant, $V_{BE}=0.7 \: V$. The value of the Thevenin equivalent resistance $R_{Th}$ (in $\Omega$) as shown in the figure is _________ (up to $2$ decimal places)
In the circuit shown in the figure, the bipolar junction transistor (BJT) has a current gain $\beta = 100$. The base-emitter voltage drop is a constant, $V_{BE}=0.7 \: V$...
Arjun
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Feb 19, 2018
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452
GATE Electrical 2018 | Question: 40
The Fourier transform of a continuous-time signal $x(t)$ is given by $X(\omega) = \frac{1}{(10+j \omega)^2}, – \infty < \omega < \infty$, where $j = \sqrt{-1}$ and $\omega$ denoes frequency. Then the value of $\mid \text{ln } x(t) \mid$ at $t=1$ is _________ (up to $1$ decimal place). ($\text{ln}$ denotes the logarithm base $e$)
The Fourier transform of a continuous-time signal $x(t)$ is given by $X(\omega) = \frac{1}{(10+j \omega)^2}, – \infty < \omega < \infty$, where $j = \sqrt{-1}$ and $\om...
Arjun
15.9k
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Feb 19, 2018
Transform Theory
gate2018-ee
numerical-answers
transform-theory
fourier-transform
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453
GATE Electrical 2018 | Question: 39
The signal energy of he continuous-time signal $x(t)=[(t-1)u(t-1)]-[(t-2)u(t-2)]-[(t-3)u(t-3)]+[(t-4)u(t-4)]$ is $11/3$ $7/3$ $1/3$ $5/3$
The signal energy of he continuous-time signal $x(t)=[(t-1)u(t-1)]-[(t-2)u(t-2)]-[(t-3)u(t-3)]+[(t-4)u(t-4)]$ is$11/3$$7/3$$1/3$$5/3$
Arjun
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Feb 19, 2018
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454
GATE Electrical 2018 | Question: 38
Consider the two continuous-time signals defined below: ... than the energy of $x_1[n]$ $x_1[n]$ and $x_2[n]$ have equal energies Neither $x_1[n]$ nor $x_2[n]$ is a finite-energy signal
Consider the two continuous-time signals defined below:$$x_1(t) = \begin{cases} \mid t \mid, & -1 \leq t \leq 1 \\ 0, & \text{otherwise} \end{cases} \\ x_2(t) = \begin{ca...
Arjun
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455
GATE Electrical 2018 | Question: 37
Digital input signals A, B, C with A as the MSB and C as the LSB are used to realize the Boolean function $F=m_0+m_2+m_3+m_5+m_7$, where $m_i$ denotes the $i$ th minterm. In addition, $F$ has a don't care for $m_1$. The simplified expression for $F$ is given by ... $\overline{A}+C$ $\overline{C}+A$ $\overline{A} C + BC + A \overline{C}$
Digital input signals A, B, C with A as the MSB and C as the LSB are used to realize the Boolean function $F=m_0+m_2+m_3+m_5+m_7$, where $m_i$ denotes the $i$ th minterm...
Arjun
15.9k
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Arjun
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Feb 19, 2018
Analog and Digital Electronics
gate2018-ee
analog-and-digital-electronics
boolean-algebra
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456
GATE Electrical 2018 | Question: 36
Which one of the following statements is true about the digital circuit shown in the figure It can be used for dividing input frequency by $3$ It can be used for dividing input frequency by $5$ It can be used for dividing input frequency by $7$ It cannot be reliably used as a frequency divider due to disjoint internal cycles
Which one of the following statements is true about the digital circuit shown in the figureIt can be used for dividing input frequency by $3$It can be used for dividing i...
Arjun
15.9k
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Arjun
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Feb 19, 2018
Analog and Digital Electronics
gate2018-ee
analog-and-digital-electronics
sequential-circuit
counters
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457
GATE Electrical 2018 | Question: 35
If $C$ is a circle $\mid z \mid=4$ and $f(z)=\frac{z^2}{(z^2-3z+2)^2}$, then $\underset{C}{\oint} f(z) dz$ is $1$ $0$ $-1$ $-2$
If $C$ is a circle $\mid z \mid=4$ and $f(z)=\frac{z^2}{(z^2-3z+2)^2}$, then $\underset{C}{\oint} f(z) dz$ is$1$$0$$-1$$-2$
Arjun
15.9k
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Arjun
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Feb 19, 2018
Complex Variables
gate2018-ee
complex-variables
cauchys-integral-theorem
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458
GATE Electrical 2018 | Question: 34
The number of roots of the polynomial, $s^7+s^6+7s^5+14s^4+31s^3+73s^2+25s+200$, in the open left half of the complex plane is $3$ $4$ $5$ $6$
The number of roots of the polynomial, $s^7+s^6+7s^5+14s^4+31s^3+73s^2+25s+200$, in the open left half of the complex plane is$3$$4$$5$$6$
Arjun
15.9k
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Arjun
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Feb 19, 2018
Complex Variables
gate2018-ee
complex-variables
complex-valued-functions
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459
GATE Electrical 2018 | Question: 33
Consider a system governed by the following equations $ \frac{dx_1(t)}{dt} = x_2(t)-x_1(t) \\ \frac{dx_2(t)}{dt} = x_1(t)-x_2(t)$ The initial conditions are such that $x_1(0)<x_2(0)< \infty$. Let $x_{1f}= \underset{t \to \infty}{\lim} x_1(t)$ ... $x_{1f}<x_{2f}<\infty$ $x_{2f}<x_{1f}<\infty$ $x_{1f}<=_{2f}<\infty$ $x_{1f}=x_{2f}=\infty$
Consider a system governed by the following equations $$ \frac{dx_1(t)}{dt} = x_2(t)-x_1(t) \\ \frac{dx_2(t)}{dt} = x_1(t)-x_2(t)$$ The initial conditions are such that $...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2018
Differential Equations
gate2018-ee
differential-equations
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460
GATE Electrical 2018 | Question: 32
The equivalent impedance $Z_{eq}$ for the infinite ladder circuit shown in the figure is $\text{j} 12 \: \Omega$ $\text{-j} 12 \: \Omega$ $\text{j} 13 \: \Omega$ $13 \: \Omega$
The equivalent impedance $Z_{eq}$ for the infinite ladder circuit shown in the figure is$\text{j} 12 \: \Omega$$\text{-j} 12 \: \Omega$$\text{j} 13 \: \Omega$$13 \: \Omeg...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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461
GATE Electrical 2018 | Question: 31
A DC voltage source is connected to a series $L-C$ circuit by turning on the switch S at time $t=0$ as shown in the figure. Assume $i(0)=0$, $v(0)=0$. Which one of the following circular loci represents the plot of $i(t)$ versus $v(t)$?
A DC voltage source is connected to a series $L-C$ circuit by turning on the switch S at time $t=0$ as shown in the figure. Assume $i(0)=0$, $v(0)=0$. Which one of the fo...
Arjun
15.9k
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Feb 19, 2018
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462
GATE Electrical 2018 | Question: 30
The per-unit power output of a salient-pole generator which is connected to an infinite bus, is given by the expression, $P=1.4 \sin \delta + 0.15 \sin 2 \delta$, where $\delta$ is the load angle. Newton-Raphson method is used to calculate the value of $\delta$ ... at the end of the first iteration is $15^{\circ}$ $28.28^{\circ}$ $28.74^{\circ}$ $31.20^{\circ}$
The per-unit power output of a salient-pole generator which is connected to an infinite bus, is given by the expression, $P=1.4 \sin \delta + 0.15 \sin 2 \delta$, where $...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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GATE Electrical 2018 | Question: 29
Consider the two bus power system network with given loads as shown in the figure. All the values shown in the figure are in per unit. The reactive power supplied by generator $G_1$ and $G_2$ are $Q_{G1}$ and $Q_{G2}$ respectively. The per unit values of $Q_{G1}$, $Q_{G2}$, and line ... $6.34, \: 11.34, \: 2.68$ $5.00, \: 11.34, \: 1.34$
Consider the two bus power system network with given loads as shown in the figure. All the values shown in the figure are in per unit. The reactive power supplied by gene...
Arjun
15.9k
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Feb 19, 2018
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464
GATE Electrical 2018 | Question: 28
The positive, negative and zero sequence impedances of a three phase generator are $Z_1, Z_2$ and $Z_0$ respectively. For a line-to-line fault with fault impedance $Z_f$, the fault current is $I_{f1}= kI_f$, where $I_f$ is the fault current with zero fault impedance. The relation ... $Z_f=\frac{(Z_1+Z_2)k}{1-k} \\$ $Z_f=\frac{(Z_1+Z_2)k}{1+k}$
The positive, negative and zero sequence impedances of a three phase generator are $Z_1, Z_2$ and $Z_0$ respectively. For a line-to-line fault with fault impedance $Z_f$,...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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465
GATE Electrical 2018 | Question: 27
A $0-1$ Ampere moving iron ammeter has an internal resistance of $50 \: m \Omega$ and inductance of $0.1 \: mH$. A shunt coil is connected to extend its range to $0-10$ Ampere for all operating frequencies. The time constant in milliseconds and resistance in $m \Omega$ of the shunt coil respectively are $2, \: 5.55$ $2, \: 1$ $2.18, \: 0.55$ $11.1, \: 2$
A $0-1$ Ampere moving iron ammeter has an internal resistance of $50 \: m \Omega$ and inductance of $0.1 \: mH$. A shunt coil is connected to extend its range to $0-10$ A...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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466
GATE Electrical 2018 | Question: 26
A transformer with toroidal core of permeability $\mu$ is shown in the figure. Assuming uniform flux density across the circular core cross-section of radius $r < < R$, and neglecting any leakage flux, the best estimate for the mean radius $R$ ... $\frac{\mu V r^2 N_P^2 \omega}{2I} \\ $ $\frac{\mu I r^2 N_P^2 \omega}{2V} $
A transformer with toroidal core of permeability $\mu$ is shown in the figure. Assuming uniform flux density across the circular core cross-section of radius $r < < R$, a...
Arjun
15.9k
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Feb 19, 2018
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467
GATE Electrical 2018 | Question: 25
Consider a unity feedback system with forward transfer function given by $G(s) = \frac{1}{(s+1)(s+2)}$ The steady-state error in the output of the system for a unit-step input is _______ (up to $2$ decimal places).
Consider a unity feedback system with forward transfer function given by $$G(s) = \frac{1}{(s+1)(s+2)}$$ The steady-state error in the output of the system for a unit-ste...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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numerical-answers
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468
GATE Electrical 2018 | Question: 24
A separately excited dc motor has an armature resistance $R_a =0.05 \: \Omega$. The field excitation is kept constant. At an armature voltage of $100$ V, the motor produces a torque of $500$ Nm at zero speed. Neglecting all mechanical losses, the no- ... motor (in $\text{radian /s}$) for an armature voltage of $150$ V is ____________ (up to $2$ decimal places).
A separately excited dc motor has an armature resistance $R_a =0.05 \: \Omega$. The field excitation is kept constant. At an armature voltage of $100$ V, the motor produ...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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numerical-answers
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469
GATE Electrical 2018 | Question: 23
The waveform of the current drawn by a semi-converter from a sinusoidal AC voltage source is shown in the figure. If $I_0=20$ A, the rms value of fundamental component of the current is ________ A (up to $2$ decimal places).
The waveform of the current drawn by a semi-converter from a sinusoidal AC voltage source is shown in the figure. If $I_0=20$ A, the rms value of fundamental component of...
Arjun
15.9k
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Arjun
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Feb 19, 2018
new
gate2018-ee
numerical-answers
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470
GATE Electrical 2018 | Question: 22
A $1000 \times 1000$ bus admittance matrix for an electric power system has $8000$ non-zero elements. The minimum number of branches (transmission lines and transformers) in this system are _________ (up to $2$ decimal places).
A $1000 \times 1000$ bus admittance matrix for an electric power system has $8000$ non-zero elements. The minimum number of branches (transmission lines and transformers)...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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numerical-answers
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471
GATE Electrical 2018 | Question: 21
The positive, negative and zero sequence impedances of a $125$ MVA, three-phase, $15.5$ kV, star-gounded, $50$ Hz generator are $j0.1$ pu, $j0.05$ pu and $j0.01$ pu respectively on the machine rating base. The machine is unloaded and working ... then the magnitude of fault current for a $b$-phase to ground fault (in kA) is __________ (up to $2$ decimal places).
The positive, negative and zero sequence impedances of a $125$ MVA, three-phase, $15.5$ kV, star-gounded, $50$ Hz generator are $j0.1$ pu, $j0.05$ pu and $j0.01$ pu respe...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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numerical-answers
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472
GATE Electrical 2018 | Question: 20
The series impedance matrix of a short three-phase transmission line in phase coordinates is $\begin{bmatrix} Z_s & Z_m & Z_m \\ Z_m & Z_s & Z_m \\ Z_m & Z_m & Z_s \end{bmatrix}$ ... $Z_m$ (in $\Omega$) is ___________ (up to $2$ decimal places).
The series impedance matrix of a short three-phase transmission line in phase coordinates is $\begin{bmatrix} Z_s & Z_m & Z_m \\ Z_m & Z_s & Z_m \\ Z_m & Z_m & Z_s \end{b...
Arjun
15.9k
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Arjun
asked
Feb 19, 2018
new
gate2018-ee
numerical-answers
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473
GATE Electrical 2018 | Question: 19
In the two-port nework shown, the $h_{11}$ parameter $\bigg($ where, $h_{11} = \frac{V_1}{I_1}$, when $V_2=0 \bigg)$ in ohms is _________ (up to $2$ decimal places).
In the two-port nework shown, the $h_{11}$ parameter $\bigg($ where, $h_{11} = \frac{V_1}{I_1}$, when $V_2=0 \bigg)$ in ohms is _________ (up to $2$ decimal places).
Arjun
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Feb 19, 2018
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GATE Electrical 2018 | Question: 18
Let $f$ be a real-valued function of a real variable defined as $f(x)=x – [x]$, where $[x]$ denotes the largest integer less than or equal to $x$. The value of $\int_{0.25}^{1.25} f(x) dx$ is _______ (up to $2$ decimal places).
Let $f$ be a real-valued function of a real variable defined as $f(x)=x – [x]$, where $[x]$ denotes the largest integer less than or equal to $x$. The value of $\int_{0...
Arjun
15.9k
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Arjun
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Feb 19, 2018
Calculus
gate2018-ee
numerical-answers
calculus
definite-integral
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475
GATE Electrical 2018 | Question: 17
Consider a non-singular $2 \times 2$ square matrix $\textbf{A}$. If $\text{trace}(\textbf{A})=4$ and $\text{trace}(\textbf{A}^2)=5$, the determinant of the matrix $\textbf{A}$ is _________ (up to $1$ decimal place).
Consider a non-singular $2 \times 2$ square matrix $\textbf{A}$. If $\text{trace}(\textbf{A})=4$ and $\text{trace}(\textbf{A}^2)=5$, the determinant of the matrix $\textb...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2018
Linear Algebra
gate2018-ee
numerical-answers
linear-algebra
matrices
determinant
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answers
476
GATE Electrical 2018 | Question: 16
A continuous-time input signal $x(t)$ is an eigenfunction of an LTI system, if the output is $k \: x(t)$, where $k$ is an eigenvalue $k \: e^{j \omega t} \: x(t)$, where $k$ is an eigenvalue and $e^{j \omega t}$ is a complex ... $k \: H(\omega)$, where $k$ is an eigenvalue and $H(\omega)$ is a frequency response of the system
A continuous-time input signal $x(t)$ is an eigenfunction of an LTI system, if the output is$k \: x(t)$, where $k$ is an eigenvalue$k \: e^{j \omega t} \: x(t)$, where $k...
Arjun
15.9k
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Arjun
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Feb 19, 2018
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477
GATE Electrical 2018 | Question: 15
The op-amp shown in the figure is ideal. The input impedance $\frac{v_{\text{in}}}{i_{\text{in}}}$ is given by $Z \frac{R_1}{R_2}$ $ – Z \frac{R_2}{R_1}$ $Z$ $ – Z \frac{R_1}{R_1 + R_2}$
The op-amp shown in the figure is ideal. The input impedance $\frac{v_{\text{in}}}{i_{\text{in}}}$ is given by$Z \frac{R_1}{R_2}$$ – Z \frac{R_2}{R_1}$$Z$$ – Z \frac{...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2018
new
gate2018-ee
+
–
0
votes
1
answer
478
GATE Electrical 2018 | Question: 14
In the logic circuit shown in the figure, $Y$ is given by $Y=ABCD$ $Y=(A+B)(C+D)$ $Y=A+B+C+D$ $Y=AB+CD$
In the logic circuit shown in the figure, $Y$ is given by$Y=ABCD$$Y=(A+B)(C+D)$$Y=A+B+C+D$$Y=AB+CD$
Arjun
15.9k
points
Arjun
asked
Feb 19, 2018
Analog and Digital Electronics
gate2018-ee
analog-and-digital-electronics
logic-gates
boolean-algebra
+
–
0
votes
0
answers
479
GATE Electrical 2018 | Question: 13
The value of the integral $\oint _c \frac{z+1}{z^2-4} dz$ in counter clockwise direction around a circle $C$ of radius $1$ with center at the point $z=-2$ is $\frac{\pi i}{2} \\ $ $2 \pi i\\$ $ – \frac{\pi i}{2}\\$ $-2 \pi i$
The value of the integral $\oint _c \frac{z+1}{z^2-4} dz$ in counter clockwise direction around a circle $C$ of radius $1$ with center at the point $z=-2$ is$\frac{\pi i}...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2018
Complex Variables
gate2018-ee
complex-variables
cauchys-integral-theorem
+
–
0
votes
0
answers
480
GATE Electrical 2018 | Question: 12
The value of the directional derivative of the function $\Phi (x,y,z) = xy^2 +yz^2+zx^2$ at the point $(2,-1,1)$ in the direction of the vector $\textbf{p}= \textbf{i} +2 \textbf{j} + 2 \textbf{k}$ is $1$ $0.95$ $0.93$ $0.9$
The value of the directional derivative of the function $\Phi (x,y,z) = xy^2 +yz^2+zx^2$ at the point $(2,-1,1)$ in the direction of the vector $\textbf{p}= \textbf{i} +2...
Arjun
15.9k
points
Arjun
asked
Feb 19, 2018
Calculus
gate2018-ee
calculus
directional-derivatives
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