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Recent questions tagged steadystate
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GATE ECE 2020  Question: 17
In the circuit shown below, all the components are ideal and the input voltage is sinusoidal. The magnitude of the steadystate output $V_{o}$ ( rounded off to two decimal places) is ______ $V$.
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Feb 13, 2020
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jothee
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GATE ECE 2020  Question: 55
Consider the following closed loop control system where $G\left ( s \right )=\dfrac{1}{s\left ( s+1 \right )}$ and $C\left ( s \right )=K\dfrac{s+1}{s+3}$. If the steady state error for a unit ramp input is $0.1$, then the value of $K$ is ______________.
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Feb 13, 2020
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3
GATE ECE 2019  Question: 30
In the circuit shown, if $v(t)=2 \sin(1000\: t)$ volts, $R=1\:k \Omega$ and $C=1\:\mu F,$ then the steadystate current $i(t)$, milliamperes (mA), is $\sin(1000\: t)+ \cos(1000\: t)$ $2 \sin(1000\: t) +2 \cos(1000\: t)$ $3 \sin(1000\: t) + \cos(1000\: t)$ $\sin(1000\: t) +3 \cos(1000\: t)$
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Feb 12, 2019
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Arjun
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49
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4
GATE ECE 2016 Set 3  Question: 13
The diodes $D1$ and $D2$ in the figure are ideal and the capacitors are identical. The product $RC$ is very large compared to the time period of the ac voltage. Assuming that the diodes do not breakdown in the reverse bias, the output voltage $V_o$(in volt) at the steady state is _______
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Mar 28, 2018
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Milicevic3306
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36
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gate2016ec3
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5
GATE ECE 2016 Set 3  Question: 32
Assume that the circuit in the figure has reached the steady state before time $t = 0$ when the $3\;\Omega$ resistor suddenly burns out, resulting in an open circuit. The current $i(t)$ (in ampere) at $t=0^+$ is _______
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Mar 28, 2018
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6
GATE ECE 2016 Set 2  Question: 34
The switch $S$ in the circuit shown has been closed for a long time. It is opened at $t = 0$ and remains open after that. Assume that the diode has zero reverse current and zero forward voltage drop. The steady state magnitude of the capacitor voltage $V_{c}$ (in volts) is ______
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Mar 28, 2018
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7
GATE ECE 2015 Set 3  Question: 46
The position control of a DC servomotor is given in the figure. The values of the parameters are $K_{T}=1 \: Nm/A, R_{a}=1\Omega, L_{a} = 0.1H,J=5kgm^{2},B=1Nm/(rad/sec)$ and $K_{b} = 1V/(rad/sec) .$ The steadystate position response (in radians) due to unit impulse disturbance torque $T_{d}$ is _______.
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Mar 28, 2018
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8
GATE ECE 2015 Set 2  Question: 7
In the circuit shown, the average value of the voltage $V_{ab}$ (in Volts) in steady state condition is ________.
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Mar 28, 2018
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9
GATE ECE 2015 Set 2  Question: 32
In the circuit shown, the initial voltages across the capacitors $C_{1}$ and $C_{2}$ are $1\: V$ and $3\: V,$ respectively. The switch is closed at time $t = 0$. The total energy dissipated (in Joules) in the resistor $R$ until steady state is reached, is __________.
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Mar 28, 2018
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Milicevic3306
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10
GATE ECE 2014 Set 4  Question: 30
The steady state output of the circuit shown in the figure is given by $y(t)=A(\omega) \sin (\omega t + \phi ( \omega))$. If the amplitude $\mid A (\omega ) \mid =0.25$, then the frequency $\omega$ is $\frac{1}{\sqrt{3} \: R \: C}$ $\frac{2}{\sqrt{3} \: R \: C}$ $\frac{1}{R \: C}$ $\frac{2}{R \: C}$
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Mar 26, 2018
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gate2014ec4
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11
GATE ECE 2014 Set 3  Question: 46
The steady state error of the system shown in the figure for a unit step input is _________.
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Mar 26, 2018
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gate2014ec3
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GATE ECE 2014 Set 1  Question: 19
A continuous, linear timeinvariant filter has an impulse response $h(t)$ described by $h(t) = \begin{cases}3 & \text{for } 0 \leq t \leq 3 \\ 0 & \text{otherwise} \end{cases}$ When a constant input of value $5$ is applied to this filter, the steady state output is ________.
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Mar 26, 2018
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