Question

Please show clearly how to answer each part with work. Thank you

Problem 2: The following op-amp circuit performs voltage level shifting. 尺 鈎 Let RL-20KQ, V+--V = 10V and let V be equal to one of the other supply voltages.

Answer 1

V_N = V_P = 0 Nodal at V_N: V_N - V (t)/R_1 + V_N - V/R_2 = V_out - V_N/R_F - [R_f/R_1 v (t) + V_k R_f/R_2] = V_out V^+ V_^- = 10v V = + 10v V_out = out put input -2.5/2 = 1.25 = Gain = R_f/R_1 amplitudes DC value = 1 times 1.25 = 1.25 v V_out DC = -1.5 v \r\n DC only V_out = -1.5 v = [-R_f/R_1 v (t) + -R_f/R_2 V] -1.5 v = -1.25 + -R_f/R_2 v + 0.25 = + R_f/R_2 V + 0.25/v = R_F/R_2 V = + 10V R_F/R_2 = 0.025 \r\n Gain = output amplitude/input amplitude = 2.5/2 = 1.25 v/v R_F/R_1 = 1.25 v/v R_F/R_2 = 0.025 v/v if R_f = 1k, R_1 = 0.8 k = R_f/1.25 R_2 = R_f/0.025 = 40 k if all R_f, R_1, R_2 are decreased by 100 times both are ie R_f/R_1 and R_f/R_2 ratio remain same (Gain remain same) so output do not change