Question

Part o DDetermine the transfer tiunction 20 K 5k . Showy-on-the-right. th You cay Use the results. of the previo Determine 'the break fregueycies(u;) ω1) s page, pars B tfer ) vUse MATLAB to drou graphs of and phase of G(do) vs ω. iVSw. Cin dles nee Cover the ran Stroiaht ie Bodde Peot Approximaton on the raplie! maqnitude for PSPICE yu plot L 16,2

Answer 1

Given R_1 = 20 k ohm R_2 = 5k ohm C = 0.25 HF v_0/v_in = R_2/R_1/1 + R_1 cs + R_2 = R_2 (1 + R_1 cs)/R_1 + R_2(1 + R_1 cs) = R_2 (1 + R_1 cs)/R_1 + R_2 + R_1 R_2 cs = R_2/R_1 + R_2 (1 + R_1 cs)/[1 + R_1 R_2/R_1 + R_2 cs] = alpha(1 + tau s/1 + alpha tau s) w_1 = 1/tau, w_2 = 1/alpha tau = 200 w_2 = 1000 w_m = squareroot 200 times 1000 = squareroot 200000 = 447.12 rightarrow freq at which may phase occur H = 20 d Theta/dec phi = sin^- 1(1 - alpha/1 + alpha) = sin^- 1(5 - 1/5 + 1) = sin^- 1(4/6) = 41.8^0