Question

Problem 5.0 Find the transfer function by using Nodal Analysis for the following circuits: 4F w

Answer 1

Solution:

Circuit: The op Amp is configured as Non inverting amplifier redrawing the circuit z_1 = 1/4 ps + 400 k z_2 = 1/4 ps + 110 k the ideal op Amp has their non inverting (+) and inverting (-) terminal virtually connected No current can go into on out hence v_x = v_in equation (i) applying nodal analysis at node x r_out - r_2/z_2 - v_x/z_1 = 0 or, r_out/z_2 = v_x (1/z_1 + 1/z_2) or r_out/r_x = 1 + z_2/z_1 equation (ii) or H(s) = r_out/r_in = 1 + 1 + 4p times 110 k/1 + 4p times 400 k [putting z_1 & z_2] & r_x = r_in from (1) or H(s) = 1 + 0.445/1 + 1.65 + 1 or H(s) = 2 + 2.045/1 + 1.65 Hence the transfer function or H(s) = 2 + 2.045/1 + 1.65 circuit 2 redrawing the circuit: - z_1 = 400 k + 1/1/400 + 4 ps = 1 + 1.65 +