A causal LTI system with input x(t) and output y(t) is represented by the differential equation
\(\frac{d^{2}y(t)}{dt^{2}}+\frac{dy(t)}{dt}+y(t)=x(t)\)The system is to be implemented using the feedback configuration as shown in figure. Value of G(s) will be
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Consider the network shown below
If the ABCD parameters of network is given in the figure,then ABCD parameters of the composite network is
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A unity feedback system has open-loop transfer function
\(G(s)=\frac{1}{s(2s+1)(s+1)}\)The Nyquist plot for the system is
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The characteristic equation of a feedback control system is given by (s2+ 4s + 4)(s2+ 11s + 30) +Ks2+ 4K = 0 where K > 0.In the root locus of this system, the asymptotes meet ins-plane at
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Characteristic equation
The input current of the circuit is 45° out of phase its input voltage at a frequency of ω= 2k rad/s. The value of Cin μF is ________.
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Given a > 0, we wish the calculate its reciprocal value 1⁄a by using Newton-Raphs on method for f(x) = 0. For a = 7 and starting with x0= 0.2, the first two iterations will be
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Which of the following are correct eigenvectors of \(A=\begin{bmatrix} 5\: 4 & \\ 1\: 2 & \end{bmatrix}\)?
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The solution of the differential equation ydx – xdy + e1⁄xdx = 0 is
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A bag contains 30 tickets numbered 1, 2, 3, 4,…., 30 of which four are drawn at random and arranged in ascending order(t1< t2< t3< t4). The probability of t3 being 15 is ________.
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