steady state

Consider the cascaded system as shown in the figure. Neglecting the faster component of the transient response, which one of the following options is a first-order pole-only approx...

The value of parameters of the circuit shown in the figure are R1 = 2Ω, R2 = 2Ω, R3 = 3Ω, L = 10 mH, C = 100 μF For time t < 0, the circuit is at steady state with the switch 'K' i...

The circuit shown in the figure is initially in the steady state with the switch K in open condition and K in closed condition. The switch K is closed and K is opened simultaneousl...

Consider a unity-gain negative feedback system consisting of the plant G(s) (given below) and a proportional-integral controller. Let the proportional gain and integral gain be 3 a...

The output response of a system is denoted as y(t), and its Laplace transform is given by $Y(s) = \frac{10}{s(s^2+s+100\sqrt{2})}$. The steady state value of y(t) is

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 ___...

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...

In the circuit shown all elements are ideal and the switch S is operated at 10 kHz and 60% duty ratio. The capacitor is large enough so that the ripple across it is negligible and...

The transfer function of a system is $${{Y\left( s \right)} \over {R\left( s \right)}} = {s \over {s + 2}}.$$ The steady state $$y(t)$$ is $$Acos$$$$\left( {2t + \phi } \right)$$ f...

A system with transfer function $$\,G\left( s \right) = {{\left( {{s^2} + 9} \right)\left( {s + 2} \right)} \over {\left( {s + 1} \right)\left( {s + 3} \right)\left( {s + 4} \right...

The transfer function of a linear time invariant system is given as $$G\left( s \right) = {1 \over {{s^2} + 3s + 2}}.$$ The steady state value of the output of this system for a un...

The transfer function of a linear time invariant system is given as $$G\left( s \right) = {1 \over {{s^2} + 3s + 2}}$$ The steady state value of the output of the system for a unit...

For the equation $$\ddot x\left(t\right)+3\dot x\left(t\right)+2x\left(t\right)=5$$, the solution x(t) approaches which of the following values as t$$\rightarrow\infty$$ ?

For the equation $$\,\,\mathop x\limits^{ \bullet \bullet } \left( t \right) + 3\mathop x\limits^ \bullet \left( t \right) + 2x\left( t \right) = 5,\,\,\,$$ the solution $$x(t)$$ a...

Given the homogeneous state-space equation $$\mathop X\limits^ \bullet = \left[ {\matrix{ { - 3} & 1 \cr 0 & { - 2} \cr } } \right]x$$ the steady state value of $$\,\,{x_{ss}}\,\,...

A single - phase bridge inverter is fed from a $$200V$$ $$d.c$$ supply and is operated at $$50$$ $$Hz.$$ It is connected to a load having a resistance of $$20$$ $$ohms$$ and an ind...