4.49 (a) omega_0 = 10 MHz alpha = 10^7 s^{-1} zeta = 1 (c) v(t) = 0 (d) v(t) = 10^9*t*e^{-10^7*t} 4.35 v(t) = 25cos(10t)-25sin(10t)+25e^{-t/0.1} 6.59 v_o = 0.4975cos(200*pi*t+84.29^o) + 3.536cos(2000*pi*t+45^o) 6.81 (a) H(f) = (1-4pi^2*fLC)/(1-4pi^2*fLC+j2pi*fRC) (c) H(f) ~= 1 (d) H(f) ~= 1 14.7 (a) -2V (b) -1V (c) 3V (d) 0V (e) 3V 14.18 A_1 = -4/3 A_2 = -8/3 14.21 (a) i_0 = (v_1-v_2)/R Z_0 = infinite (b) i_0 = -v_in/R_f Z_0 = infinite 14.26 i_0 = -(R_1+R_2)/R_2 * i_in Z_0 = infinite 14.40 (a) A_{CL,ideal} = -10 A_{CL,actual} = -9.9989 (b) Z_{in,ideal} = 1 kOhm Z_{in,actual} = 1.0001 kOhm (c) Z_{out,ideal} = 0 Ohm Z_{out,actual} = 2.75 mOhm P1 v_o = 12V-2/3*v_a v_o/v_a = -2/3 P2 v_o/v_i = -2/((1+jw/w1)(1+jw/w2)) w1 = R/L w2 = 1/(2RC) P3 v_o/v_i = w^2*L-jwR P4 v_o = R_2/R_1*(1+R_4/R_3) P5 V_o = 1.25*V_A-0.75*V_B P6 It will saturate if A = 1.6*B - 6 or A = 1.6*B + 9 When A=2B this means B = -15 V or B = 22.5 V.