Problem 1: Steps 1. 5 pts 2. 5 pts 3. 10 pts 4. 5 pts 5. 10 pts 6. 5 pts 7. 10 pts Given the LDE, show that the system T

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Problem 1 Steps 1 5 Pts 2 5 Pts 3 10 Pts 4 5 Pts 5 10 Pts 6 5 Pts 7 10 Pts Given The Lde Show That The System T 1 (99.89 KiB) Viewed 33 times

Problem 1: Steps 1. 5 pts 2. 5 pts 3. 10 pts 4. 5 pts 5. 10 pts 6. 5 pts 7. 10 pts Given the LDE, show that the system TF is: Plot the unit step response. V(s) V,(s) H(s)=- (t) L LC{1+B) d²%, 00 + (1/ R₁ C = 10 μF p²+ L = 10 mH 1 R LC{1+B) +R₂C + R₂C R₁ LC 1+1 Show that the eigenvalues are: A1,2 = -1262.3 +2871j Plot the frequency response of the system; both amplitude and phase for a proper Bode plot. Estimate damping ratio and natural frequency from the Bode plot. ...use this power relationship to convert between numeric and dB from lecture 3c M[dB]: dv₂ (t) dt R, = 1500 Ω R₁ Determine the type of filter and identify the damped resonant frequency (wres) from the amplitude plot if it exists. St LC 1+ R₂ Note: Only one value of 2 will make sense 1 -8² =10* log (M²) Estimate damping ratio and natural frequency from the unit step response plot. (clearly mark the settling time and overshoot, and you may need to use very small time increments such as 0.001 to get a smooth plot and accurately catch the transient) Compare these values with (5) and comment. M. @res = ₂√ - + v₂(t)=v₂ (t) = P R₂ = 25 92 -2 +1 50 pts