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Recent questions tagged numerical-answers
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161
GATE Electrical 2017 Set 2 | Question: 42
A $120$ V DC shunt motor takes $2$A at no load. It takes $7$A on full load while running at $1200$ rpm. The armature resistance is $0.8 \Omega$, and the shunt field resistance is $240 \Omega$. The no load speed, in rpm, is _________.
A $120$ V DC shunt motor takes $2$A at no load. It takes $7$A on full load while running at $1200$ rpm. The armature resistance is $0.8 \Omega$, and the shunt field resis...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-2
numerical-answers
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162
GATE Electrical 2017 Set 2 | Question: 25
In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is $100 \times 100$. If there are $20$PV buses in addition to $PQ$ buses and a slack bus, the total number of buses in the system is ______.
In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is $100 \times 100$. If there are $20$PV buses in addition to $PQ$...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
Numerical Methods
gate2017-ee-2
numerical-answers
numerical-methods
newton-raphson-method
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163
GATE Electrical 2017 Set 2 | Question: 22
The initial charge in the $1$ F capacitor present in the circuit shown is zero. The energy in joules transferred from the $DC$ source until steady state condition is reached equals _________. (Give the answer up to one decimal place.)
The initial charge in the $1$ F capacitor present in the circuit shown is zero. The energy in joules transferred from the $DC$ source until steady state condition is reac...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-2
numerical-answers
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164
GATE Electrical 2017 Set 2 | Question: 24
The nominal- $\pi$ circuit of a transmission line is shown in the figure. Impedance $Z=100 \angle 80^{\circ} \Omega$ and reactance $X=3300 \Omega$. The magnitude of the characteristic impedance of the transmission line, in $\Omega$, is __________. (Give the answer up to one decimal place.)
The nominal- $\pi$ circuit of a transmission line is shown in the figure.Impedance $Z=100 \angle 80^{\circ} \Omega$ and reactance $X=3300 \Omega$. The magnitude of the ch...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-2
numerical-answers
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165
GATE Electrical 2017 Set 2 | Question: 23
The mean square value of the given periodic waveform $f(t)$ is __________.
The mean square value of the given periodic waveform $f(t)$ is __________.
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-2
numerical-answers
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166
GATE Electrical 2017 Set 2 | Question: 21
For the given $2$-port network, the value of transfer impedance $z_{21}$ in ohms is _________.
For the given $2$-port network, the value of transfer impedance $z_{21}$ in ohms is _________.
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-2
numerical-answers
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167
GATE Electrical 2017 Set 2 | Question: 20
Let $y^{2}-2y+1=x$ and $\sqrt{x}+y=5$. The value of $x+\sqrt{y}$ equals _________. (Give the answer up to three decimal places).
Let $y^{2}-2y+1=x$ and $\sqrt{x}+y=5$. The value of $x+\sqrt{y}$ equals _________. (Give the answer up to three decimal places).
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
Calculus
gate2017-ee-2
numerical-answers
calculus
curves
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168
GATE Electrical 2017 Set 2 | Question: 19
Let $x$ and $y$ be integers satisfying the following equations $2x^{2}+y^{2}=34$ $x+2y=11$ The value of $(x+y)$ is _______.
Let $x$ and $y$ be integers satisfying the following equations$2x^{2}+y^{2}=34$$x+2y=11$The value of $(x+y)$ is _______.
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
Calculus
gate2017-ee-2
numerical-answers
calculus
curves
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169
GATE Electrical 2017 Set 2 | Question: 18
Consider a function $f(x, y, z)$ given by $f(x, y, z)=(x^{2}+y^{2}-2z^{2})(y^{2}+z^{2})$ The partial derivative of this function with respect to $x$ at the point, $x=2, y=1$ and $z=3$ is _______.
Consider a function $f(x, y, z)$ given by$f(x, y, z)=(x^{2}+y^{2}-2z^{2})(y^{2}+z^{2})$The partial derivative of this function with respect to $x$ at the point, $x=2, y=1...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
Calculus
gate2017-ee-2
numerical-answers
calculus
derivatives
partial-derivatives
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170
GATE Electrical 2017 Set 2 | Question: 17
Assume that in traffic junction, the cycle of the traffic signal lights is $2$ minutes of green (Vehicle does not stop) and $3$ minutes of red (Vehicle stops). Consider that the arrival time of vehicles at the junction is uniformly distributed over $5$ minute cycle. The expected waiting time (in minutes) for the vehicle at the junction is ________.
Assume that in traffic junction, the cycle of the traffic signal lights is $2$ minutes of green (Vehicle does not stop) and $3$ minutes of red (Vehicle stops). Consider t...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-2
numerical-answers
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171
GATE Electrical 2017 Set 2 | Question: 16
The figure below shows the circuit diagram of a controlled rectifier supplied from a $230$V, $50$Hz, $1$-phase voltage source and a $10:1$ ideal transformer. Assume that all devices are ideal. The firing angles of the thyristors $T_{1}$ and ... $270^{\circ}$, respectively. The RMS value of the current through diode $D_{3}$ in amperes is _______.
The figure below shows the circuit diagram of a controlled rectifier supplied from a $230$V, $50$Hz, $1$-phase voltage source and a $10:1$ ideal transformer. Assume that ...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-2
numerical-answers
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0
votes
0
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172
GATE Electrical 2017 Set 1 | Question: 55
The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is $1.5 \sin \delta$, where $\delta$ is the rotor angle. The system is operating at the stable equilibrium point with ... $P_{\max}$, in pu is ______. (Give the answer up to three decimal places.)
The figure shows the single line diagram of a power system with a double circuit transmission line. The expression for electrical power is $1.5 \sin \delta$, where $\delt...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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173
GATE Electrical 2017 Set 1 | Question: 54
The positive, negative, and zero sequence reactances of a wye-connected synchronous generator are $0.2$pu, $0.2$pu, and $0.1$pu, respectively. The generator is an open circuit with a terminal voltage of $1$pu. The minimum value of ... fault occurs at the terminals is ___________ (assume fault impedance to be zero). (Give the answer up to one decimal place.)
The positive, negative, and zero sequence reactances of a wye-connected synchronous generator are $0.2$pu, $0.2$pu, and $0.1$pu, respectively. The generator is an open ci...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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174
GATE Electrical 2017 Set 1 | Question: 42
Only one of the real roots of $f(x)=x^{6}-x-1$ lies in the interval $1 \leq x \leq 2$ and bisection method is used to find its value. For achieving an accuracy of $0.001$, the required minimum number of iterations is _________.
Only one of the real roots of $f(x)=x^{6}-x-1$ lies in the interval $1 \leq x \leq 2$ and bisection method is used to find its value. For achieving an accuracy of $0.001$...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
Numerical Methods
gate2017-ee-1
numerical-answers
numerical-methods
bisection-method
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175
GATE Electrical 2017 Set 1 | Question: 53
The figure below shows an uncontrolled diode bridge rectifier supplied from a $220$V, $50$Hz, $I$-phase ac source. The load draws a constant current $I_{0}=14A$. The conduction angle of the diode $D_{1}$ in degrees (rounded off to two decimal places) is _______.
The figure below shows an uncontrolled diode bridge rectifier supplied from a $220$V, $50$Hz, $I$-phase ac source. The load draws a constant current $I_{0}=14A$. The cond...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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176
GATE Electrical 2017 Set 1 | Question: 52
The circuit shown in the figure uses matched transistors with a thermal voltage $V_{T}=25$m V. The base currents of the transistors are negligible. The value of the resistance $R$ in $k\Omega$ that is required to provide $1 \mu A$ bias current for the differential amplifier block shown is ________.(Give the answer up to one decimal place.)
The circuit shown in the figure uses matched transistors with a thermal voltage $V_{T}=25$m V. The base currents of the transistors are negligible. The value of the resis...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
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177
GATE Electrical 2017 Set 1 | Question: 51
Consider a causal and stable $LTI$ system with rational transfer function $H(z)$, whose corresponding impulse response begins at $n=0$. Furthermore, $H(1)=\frac{5}{4}$. The poles of $H(z)$ ... $g[n]=j^{n}h[n]$. The value of $g[8]$ equals __________. (Give the answer up to three decimal places.)
Consider a causal and stable $LTI$ system with rational transfer function $H(z)$, whose corresponding impulse response begins at $n=0$. Furthermore, $H(1)=\frac{5}{4}$. T...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
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178
GATE Electrical 2017 Set 1 | Question: 50
For a system having transfer function $G(s)=\frac{-s+1}{s+1}$, a unit step input is applied at time $t=0$. The value of the response of the system at $t=1.5 sec$ (rounded off to three decimal places) is ________.
For a system having transfer function $G(s)=\frac{-s+1}{s+1}$, a unit step input is applied at time $t=0$. The value of the response of the system at $t=1.5 sec$ (rounded...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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179
GATE Electrical 2017 Set 1 | Question: 49
A separately excited $DC$ generator supplies $150$A to a $145$V DC grid. The generator is running at $800$RPM. The armature resistance of the generator is $0.1\Omega$. If the speed of the generator is increased to $1000$ RPM, the current in amperes supplied by the generator to the $DC$ grid is ______. (Give the answer up to one decimal place.)
A separately excited $DC$ generator supplies $150$A to a $145$V DC grid. The generator is running at $800$RPM. The armature resistance of the generator is $0.1\Omega$. If...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
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180
GATE Electrical 2017 Set 1 | Question: 48
A three-phase, three winding $\Delta / \Delta / Y (1.1kV/6.6kV/400V)$ transformer is energized from $AC$ mains at the $1.1kV$ side. It supplies $900kVA$ load at $0.8$ power factor lag from the $6.6kV$ winding and $300kVA$ load ... $1.1kV$ winding from the mains is ________. (Give the answer up to one decimal place.)
A three-phase, three winding $\Delta / \Delta / Y (1.1kV/6.6kV/400V)$ transformer is energized from $AC$ mains at the $1.1kV$ side. It supplies $900kVA$ load at $0.8$ pow...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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181
GATE Electrical 2017 Set 1 | Question: 47
A $220$V DC series motor runs drawing a current of $30$ A from the supply. Armature and field circuit resistances are $0.4\Omega$ and $0.1\Omega$, respectively. The load torque varies as the square of the speed. The flux in the ... the resistance in ohms that should be added in series with the armature is ______. (Give the answer up to two decimal places.)
A $220$V DC series motor runs drawing a current of $30$ A from the supply. Armature and field circuit resistances are $0.4\Omega$ and $0.1\Omega$, respectively. The load ...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
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0
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182
GATE Electrical 2017 Set 1 | Question: 46
Two parallel connected, three-phase, $50$Hz, $11$kV, star-connected synchronous machines $A$ and $B$, are operating as synchronous condensers. They together supply $50$MVAR to a $11$kV grid. Current supplied by both the machines are equal. ... excitation current of machine $A$ to that of machine $B$ is _______. (Give the answer up to two decimal places.)
Two parallel connected, three-phase, $50$Hz, $11$kV, star-connected synchronous machines $A$ and $B$, are operating as synchronous condensers. They together supply $50$MV...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
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0
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183
GATE Electrical 2017 Set 1 | Question: 45
A $375$W, $230$V, $50$Hz, capacitor start single-phase induction motor has the following constants for the main and auxiliary windings (at starting): $Z_{m}=(12.50+j15.75) \Omega$ ... of the capacitance (in $\mu F$) to be added in series with the auxiliary winding to obtain maximum torque at starting is ________.
A $375$W, $230$V, $50$Hz, capacitor start single-phase induction motor has the following constants for the main and auxiliary windings (at starting): $Z_{m}=(12.50+j15.75...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
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184
GATE Electrical 2017 Set 1 | Question: 44
The magnitude of magnetic flux density (B) in micro Teslas $(\mu T)$, at the centre of a loop of wire wound as a regular hexagon of side length $1 m$ carrying a current $(I=1 A)$, and placed in vacuum as shown in the figure is _________. (Give the answer up to two decimal places.)
The magnitude of magnetic flux density (B) in micro Teslas $(\mu T)$, at the centre of a loop of wire wound as a regular hexagon of side length $1 m$ carrying a current $...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
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185
GATE Electrical 2017 Set 1 | Question: 43
In the circuit shown below, the maximum power transferred to the resistor $R$ is ______ W.
In the circuit shown below, the maximum power transferred to the resistor $R$ is ______ W.
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
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186
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...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
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0
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187
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...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
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188
GATE Electrical 2017 Set 1 | Question: 23
The following measurements are obtained on a single phase load $V=220 V \pm 1$%, $I=5.0 A \pm 1$% and $W=555 W \pm 2$%. If the power factor is calculated using these measurements, the worst case error in the calculated power factor in percent is _______. (Give answer up to one decimal place.)
The following measurements are obtained on a single phase load $V=220 V \pm 1$%, $I=5.0 A \pm 1$% and $W=555 W \pm 2$%. If the power factor is calculated using these meas...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
votes
0
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189
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...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
votes
0
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190
GATE Electrical 2017 Set 1 | Question: 21
A $10$-bus power system consists of four generator buses indexed as $G1, G2, G3, G4$ and six load buses indexed as $L1, L2, L3, L4, L5, L6$. The generator-bus $G1$ is considered as slack bus, and the load buses ... limit. The number of non-linear equations required for solving the load flow problem using Newton - Raphson method in polar form is ___________.
A $10$-bus power system consists of four generator buses indexed as $G1, G2, G3, G4$ and six load buses indexed as $L1, L2, L3, L4, L5, L6$. The generator-bus $G1$ is con...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
votes
0
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191
GATE Electrical 2017 Set 1 | Question: 20
A three-phase, $50$Hz, star-connected cylindrical rotor synchronous machine is running as a motor. The machine is operated from a $6.6$ kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is $30 \Omega$ ... $30^{\circ}$. The power delivered to the motor in kW is __________. (Give the answer up to one decimal place).
A three-phase, $50$Hz, star-connected cylindrical rotor synchronous machine is running as a motor. The machine is operated from a $6.6$ kV grid and draws current at unity...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
votes
0
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192
GATE Electrical 2017 Set 1 | Question: 17
Let $I= c\int \int _{R} xy^{2} dxdy$, where $R$ is the region shown in the figure and $c= 6 \times 10^{-4}$. The value of $I$ equals _________. (Give the answer up to two decimal places.)
Let $I= c\int \int _{R} xy^{2} dxdy$, where $R$ is the region shown in the figure and $c= 6 \times 10^{-4}$. The value of $I$ equals _________. (Give the answer up to two...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
Calculus
gate2017-ee-1
numerical-answers
calculus
double-integral
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0
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0
answers
193
GATE Electrical 2017 Set 1 | Question: 16
Consider $g(t)= \begin{cases} t-\lfloor t \rfloor, & t \geq 0 \\ t-\lceil t \rceil, & \text{otherwise } \end{cases}$, where $t \in \mathbb{R}$. Here, $\lfloor t \rfloor$ represents the largest integer ... integer greater than or equal to $t$. The coefficient of the second harmonic component of the Fourier series representing $g(t)$ is __________.
Consider $g(t)= \begin{cases} t-\lfloor t \rfloor, & t \geq 0 \\ t-\lceil t \rceil, & \text{otherwise }\end{cases}$, where $t \in \mathbb{R}$.Here, $\lfloor t \rfloor$ r...
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
votes
0
answers
194
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 __________ $\Omega$.
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
votes
0
answers
195
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 __________ $W$.
Arjun
15.9k
points
Arjun
asked
Feb 26, 2017
new
gate2017-ee-1
numerical-answers
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0
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0
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196
GATE Electrical 2014 Set 3 | Question: 54
A diode circuit feeds an ideal inductor as shown in the figure. Given $v_s=100 \sin(w_t) \: V$ where $\omega = 100\pi \text{ rad/s}$, and $L=31.83 \: mH$. The initial value of inductor current is zero. Switch $S$ is closed at $t=2.5 \: ms$. The peak value of inductor current $i_L$ (in $A$) in the first cycle is ________.
A diode circuit feeds an ideal inductor as shown in the figure. Given $v_s=100 \sin(w_t) \: V$ where $\omega = 100\pi \text{ rad/s}$, and $L=31.83 \: mH$. The initial val...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Electric Circuits
gate2014-ee-3
time-response
peak-value
numerical-answers
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0
votes
0
answers
197
GATE Electrical 2014 Set 3 | Question: 52
A hysteresis type $TTL$ inverter is used to realize an oscillator in the circuit shown in the figure. If the lower and upper trigger level voltages are $0.9$ $V$ and $1.7$ $V$, the period (in $ms$), for which output is $LOW$, is __________.
A hysteresis type $TTL$ inverter is used to realize an oscillator in the circuit shown in the figure.If the lower and upper trigger level voltages are $0.9$ $V$ and $1.7$...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Analog and Digital Electronics
gate2014-ee-3
trigger-level
oscillator
numerical-answers
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0
votes
0
answers
198
GATE Electrical 2014 Set 3 | Question: 43
The figure shows the single line diagram of a single machine infinite bus system. The inertia constant of the synchronous generator $H = 5 \: MW-s/MVA$. Frequency is $50 \: Hz$. Mechanical power is $1 \: pu$. The system is operating at the stable ... $3.762 \text{ radian/s}$ respectively, then $P_{\text{max}}$ (in $pu$) is _______.
The figure shows the single line diagram of a single machine infinite bus system.The inertia constant of the synchronous generator $H = 5 \: MW-s/MVA$. Frequency is $50 \...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-3
line-diagrams
fault-analysis
numerical-answers
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0
votes
0
answers
199
GATE Electrical 2014 Set 3 | Question: 42
The complex power consumed by a constant-voltage load is given by $(P_1+jQ_1)$, where, $1 \: kW \leq P_1 \leq 1.5 \text{ kW}$ and $0.5 \: \text{kVAR} \leq Q_1 \leq 1 \text{ kVAR}$. A compensating shunt ... is the net reactive power consumed by the capacitor-load combination. The reactive power (in $\text{kVAR}$) supplied by the capacitor is _________.
The complex power consumed by a constant-voltage load is given by $(P_1+jQ_1)$, where, $1 \: kW \leq P_1 \leq 1.5 \text{ kW}$ and $0.5 \: \text{kVAR} \leq Q_1 \leq 1 \te...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Power Systems
gate2014-ee-3
capacitor-load-combination
numerical-answers
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0
votes
0
answers
200
GATE Electrical 2014 Set 3 | Question: 48
In the bridge circuit shown, the capacitors are loss free. At balance, the value of capacitance $C_1$ in microfarad is _________.
In the bridge circuit shown, the capacitors are loss free. At balance, the value of capacitance $C_1$ in microfarad is _________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Analog and Digital Electronics
gate2014-ee-3
bridge-circuit
source
numerical-answers
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