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722
GATE Electrical 2014 Set 2 | Question: 31
The total power dissipated in the circuit, shown in the figure, is $1$ $kW$. The voltmeter, across the load, reads $200$ $V$. The value of $X_L$ is ___________.
The total power dissipated in the circuit, shown in the figure, is $1$ $kW$.The voltmeter, across the load, reads $200$ $V$. The value of $X_L$ is ___________.
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725
GATE Electrical 2014 Set 2 | Question: 34
An input signal $x(t)=2+5 \sin(100\pi t)$ is sampled with a sampling frequency of $400$ $Hz$ ... where, $N$ represents the number of samples per cycle. The output $y(n)$ of the system under steady state is $0$ $1$ $2$ $5$
An input signal $x(t)=2+5 \sin(100\pi t)$ is sampled with a sampling frequency of $400$ $Hz$ and applied to the system whose transfer function is represented by $$\dfrac...
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731
GATE Electrical 2014 Set 2 | Question: 17
The closed loop transfer function of a system is $T(s)=\dfrac{4}{s^2+0.4S+4}$ The steady state error due to unit step input is __________.
The closed loop transfer function of a system is $T(s)=\dfrac{4}{s^2+0.4S+4}$ The steady state error due to unit step input is __________.
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733
GATE Electrical 2014 Set 2 | Question: 19
The saw-tooth voltage waveform shown in the figure is fed to a moving iron voltmeter. Its reading would be close to _____________
The saw-tooth voltage waveform shown in the figure is fed to a moving iron voltmeter. Its reading would be close to _____________
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734
GATE Electrical 2014 Set 2 | Question: 20
While measuring power of a three-phase balanced load by the two-wattmeter method, the readings are $100$ $W$ and $250$ $W$. The power factor of the load is ______.
While measuring power of a three-phase balanced load by the two-wattmeter method, the readings are $100$ $W$ and $250$ $W$. The power factor of the load is ______.
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735
GATE Electrical 2014 Set 2 | Question: 21
Which of the following is an invalid state in an $8$-$4$-$2$-$1$ Binary Coded Decimal counter $1$ $0$ $0$ $0$ $1$ $0$ $0$ $1$ $0$ $0$ $1$ $1$ $1$ $1$ $0$ $0$
Which of the following is an invalid state in an $8$-$4$-$2$-$1$ Binary Coded Decimal counter$1$ $0$ $0$ $0$$1$ $0$ $0$ $1$$0$ $0$ $1$ $1$$1$ $1$ $0$ $0$
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736
GATE Electrical 2014 Set 2 | Question: 22
The transistor in the given circuit should always be in active region. Take $V_{CE(sat)}$ = $0.2$ $V$ , $V_{BE}$=$0.7$ $V$. The maximum value of $R_c$ in $Ω$ which can be used, is ______________.
The transistor in the given circuit should always be in active region. Take $V_{CE(sat)}$ = $0.2$ $V$ , $V_{BE}$=$0.7$ $V$. The maximum value of $R_c$ in $Ω$ which can b...
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742
GATE Electrical 2014 Set 2 | Question: 28
The minimum value of the function $f(x)=x^3-3x^2-24x+100$ in the interval $[-3,3]$ is $20$ $28$ $16$ $32$
The minimum value of the function $f(x)=x^3-3x^2-24x+100$ in the interval $[-3,3]$ is$20$$28$$16$$32$
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743
GATE Electrical 2014 Set 2 | Question: 5
Consider the differential equation $x^2\dfrac{d^2y}{dx^2}+x\dfrac{dy}{dx}-y=0$. Which of the following is a solution to this differential equation for $x>0$? $e^x$ $x^2$ $1/x$ $\ln x$
Consider the differential equation $x^2\dfrac{d^2y}{dx^2}+x\dfrac{dy}{dx}-y=0$. Which of the following is a solution to this differential equation for $x>0$?$e^x$$x^2$$1/...
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744
GATE Electrical 2014 Set 2 | Question: 6
Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are $380$ $μH$ and $240$ $μH$. Their mutual inductance in $μH$ is ________
Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are $380$ $μH$ and $240$ $μH$. Their mutual in...
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746
GATE Electrical 2014 Set 2 | Question: 9
Consider an LTI system with transfer function $H(s)=\frac{1}{s(s+4)}$ If the input to the system is $ \cos(3t)$ and the steady state output is $A \sin(3t+\alpha )$ , then the value of $A$ is $1/30$ $1/15$ $3/4$ $4/3$
Consider an LTI system with transfer function $$H(s)=\frac{1}{s(s+4)}$$ If the input to the system is $ \cos(3t)$ and the steady state output is $A \sin(3t+\alpha )$ , th...
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747
GATE Electrical 2014 Set 2 | Question: 10
Consider an $LTI$ system with impulse response $h(t)=e^{-5t}u(t)$ . If the output of the system is $y(t)=e^{-3t}u(t)-e^{-5t}u(t)$ then the input, $x(t)$, is given by $e^{-3t}u(t)$ $2e^{-3t}u(t)$ $e^{-5t}u(t)$ $2e^{-5t}u(t)$
Consider an $LTI$ system with impulse response $h(t)=e^{-5t}u(t)$ . If the output of the system is $y(t)=e^{-3t}u(t)-e^{-5t}u(t)$ then the input, $x(t)$, is given by$e^{...
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749
GATE Electrical 2014 Set 2 | Question: 12
A single phase, $50$ $kVA$, $1000V$/$100V$ two winding transformer is connected as an autotransformer as shown in the figure. The $kVA$ rating of the autotransformer is _____________.
A single phase, $50$ $kVA$, $1000V$/$100V$ two winding transformer is connected as an autotransformer as shown in the figure.The $kVA$ rating of the autotransformer is __...
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754
GATE Electrical 2014 Set 2 | Question: 3
Minimum of the real valued function $f(x)=(x-1)^{2/3}$ occurs at $x$ equal to $-\infty$ $0$ $1$ $\infty$
Minimum of the real valued function $f(x)=(x-1)^{2/3}$ occurs at $x$ equal to$-\infty$$0$$1$$\infty$
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755
GATE Electrical 2014 Set 2 | Question: 4
All the values of the multi-valued complex function $1^i$,where $i=\sqrt{-1}$ are purely imaginary. real and non-negative on the unit circle. equal in real and imaginary parts.
All the values of the multi-valued complex function $1^i$,where $i=\sqrt{-1}$ arepurely imaginary.real and non-negativeon the unit circle.equal in real and imaginary part...
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756
GATE Electrical 2014 Set 2 | GA Question: 8
If x is real and $|x^2 − 2x + 3|$ = $11$, then possible values of $| -x^3 + x^2 − x|$ include $2,4$ $2,14$ $4,52$ $14,52$
If x is real and $|x^2 − 2x + 3|$ = $11$, then possible values of $| -x^3 + x^2 − x|$ include$2,4$$2,14$$4,52$$14,52$
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758
GATE Electrical 2014 Set 2 | GA Question: 10
At what time between $6$ $a.m.$ and $7 \: a.m.$ will the minute hand and hour hand of a clock make an angle closest to $60^\circ$? $6:22 \: a.m.$ $6:27 \: a.m.$ $6:38 \: a.m.$ $6:45 \: a.m.$
At what time between $6$ $a.m.$ and $7 \: a.m.$ will the minute hand and hour hand of a clock make an angle closest to $60^\circ$?$6:22 \: a.m.$$6:27 \: a.m.$$6:38 \: a...
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759
GATE Electrical 2014 Set 2 | GA Question: 3
Match the columns: ... $1:P, 2:Q, 3:R, 4:S$ $1:Q, 2:R, 3:S, 4:P$ $1:S, 2:P, 3:R, 4:Q$
Match the columns:$\begin{array}{llll} & \text{Column 1} & & \text{Column 2} \\ 1. & \text{eradicate} & P. & \text{misrepresent} \\ 2. & \text{distort} & Q. & \text{soak ...
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760
GATE Electrical 2014 Set 2 | GA Question: 4
What is the average of all multiples of $10$ from $2$ to $198?$ $90$ $100$ $110$ $120$
What is the average of all multiples of $10$ from $2$ to $198?$$90$$100$$110$$120$
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