


1. A circuit with input source waveform Xin(t) and output yout(t) has the system function 100(s...
Question 5 An LTI system has an input signal given by x(t) = e-tu(t). The output of the system is measured and found out to be given by y(t) = e-tu (t) + e-t+1 u(t-1). Find the system transfer function, H(s) 4 marks a. b. Find the system impulse response, h(t) 4 marks c. Describe in words what is the functionality of this svstem (i.e., what does it do on the inputs sigmal to produce the output simal?). [2 marks]
The input to the circuit shown in Fig. 2 is the voltage source v(t). The output is the voltage across the capacitor, v(t). Determine the output of this circuit as a function of time t when the input is v.(t)-8+12u(t) V 40 18 s(t) 160 Fig. 2
A system with input r(t) and output y(t) has transfer function G(s) = 10 (s + 1)(s + 2). Find y(t) for t ≥ 0 if the following inputs are applied (with zero initial conditions): (a) r(t) = u(t) (b) r(t) = e^ −t*u(t)
Suppose the input to a linear system is 8(t) and the output is tu(t) What is the transfer function of the system? A. S S +2 B. 1 02 S - - 2 C. D. 1 S +2
Please write down the steps by steps solution, thank
you!
Question 1 Figure Q1 shows a mechanical system. The system input is T) and output is supposed to be 0. Please find the transfer function from T to θ 3, and discuss the stability of the system if the input is a unit impulse signal. (30 marks) To 01(t) 01t) I kg-m2 N 10 030) N2 100 100 kg-m2 100 N-m/rad 100 N-m-s/rad Figure Q1
Question 1 Figure Q1 shows...
1 4.4-1 The circuit shown in Fig. P4.4-1 has system function given by H(S) = Let R= 2 and 1+RCS C = 3 and use Laplace transform techniques to solve the following. (a) Find the output y(t) given an initial capaci- tor voltage of y(0%) =3 and an input x(t) u(t). (b) Given an input x(t) = u(t – 3), determine the initial capacitor voltage y(0%) so that the output y(t) is 1 volt at t = 6 seconds. =...
Problem 5 (20 Points): For the circuit shown below, the input is the current source, I(t) and the output is eo. 1). Find the state variable model. Take ec and IL as state variables (refer notes from Chapter-6). 2). Apply Laplace Transform on the state variable model (from part-1) and show that the transform of the output (eo) is given by the expression: 사스 ; if the initial conditions, L(0) and ec(0) are known. Note: ec(0)-eo(0) R L R L...
1. Find the following transfer function Io(t) and Is(t) are output and input respectively. transfer function H(s) n+ 1 (0.1*n+0.2) L + + vs ☺ 0.5 F n+ 2 s 1 a) Find Transfer function (assuming initial conditions are zero) H(s) = 1(s)/V; (s) b) Explain the system stability
Using () as the input and vo(t) as the output of the system, calculate the transfer function H(s), the impulse response h(t) vi Vo and the frequency response H(ia for the system shown in Figure 1 below. Plot (by hand or in Matlab) the asymptotic gain and phase of H(jw) Figure 1: Circuit for problem 1
The input voltage waveform (Vin) t in is shown below along with
the circuit. The voltage-controlled switch S1 closes when the
output voltage Vc (t) goes positive at t=0 and opens when Vc (t)
goes negative at t=5 µs. Assume that Vin(t) in has been at 10 V for
t<0 for a very long time..
3. (15 marks) The input voltage waveform Vin(t) is shown below along with the circuit. The voltage- controlled switch S, closes when the output voltage...