Answer Happy

Question 2 [28] 2.1 Consider the LTI system with input vi(t) and output vz(t) as shown in the figure below, where R = 1 and L = 1. سرو Ls V (s) Cs V2(s) RS 2.1.1. Find the frequency response H() of the system. (5) 2.1.2. Determine the magnitude and phase response of the system and sketch its amplitude spectrum. (6) 2.1.3. What type of filter is this? (1) 2.1.4. Determine the system response if the input is vi(t) = 150 = (3) 2.1.5. Determine the system response if the input is vi(t) = cos(21) (3) 2.2. Consider the causal second-order system described by VCt) + 3 (0) + 2y(t) = (0) +32(0) = dt dt With initial conditions ay(0) = 2 and y(0-) = 1. Suppose that this system is dt subjected to the input signal: x(t) = 6-5tu(t). 2.2.1. Determine the zero-input response of the system using Laplace Transform.(4) 2.2.2. Determine the zero-state response of the system for the given input, using Laplace Transform. (4) 2.2.3. Deduce the total response of the system. (2)