The statements given below in terms of linearity, time invariance and causality classify. Y1 (n) = 5x(n) + 2x² (n) y2(n) = x(n – 1) – 2x(n – 1)

3. Determine K, which makes damping ratio of the system 0.5. For this Kp find w, and tp, ts, tp and Mp- R(s) Cs) 10 KA

18. A dc voltage E is applied across an RL circuit at t = 0. At what         time after, is the voltage across the resistor equal to that         across the inductor?         A. 0.693 TC B. 0.673 TC C. 0.707 TC D. 0.779 TC

2. For the following circuit, a. find a. b. find wo. c. write a differential equation in i(t). d. find the characteristic equation. e. find the roots of the characteristic equation. f. find the final value of current i(t) through the inductor. g. find current i(t) through the inductor for t≥ 0 and plot i(t). h. find voltage v(t) for t≥ 0 and plot v(t). 15 mA R 1 k lo-5 mA 100 L 40 mH v(t) - с 50 nF V-2V