(2) Fig. 2 shows a Salen-Key second-order lowpass filter, where: Derive an expression for the transfer function in terms of the circuit components. Then design the filter for a dc gain K of 2, fo of 5 khz and a quality factor Q of 5. Record and plot your frequency response, and compare your plot with SPICE. Make sure to model the op-amp appropriately, so that it lends itself to SPICE simulations Hint K = 1 + R2/R1, wo = 1/ RC/mn Q-mn /[m1mn (1-k)] Let n = 1 for simplicity, thus for K = 2 we get Q-m , and wo. QRC = 1. nC + U1 せ mR R3 Vo R2 R1 帝 (2) Fig. 2 shows a Salen-Key second-order lowpass filter, where: Derive an expression for the transfer function in terms of the circuit components. Then design the filter for a dc gain K of 2, fo of 5 khz and a quality factor Q of 5. Record and plot your frequency response, and compare your plot with SPICE. Make sure to model the op-amp appropriately, so that it lends itself to SPICE simulations Hint K = 1 + R2/R1, wo = 1/ RC/mn Q-mn /[m1mn (1-k)] Let n = 1 for simplicity, thus for K = 2 we get Q-m , and wo. QRC = 1. nC + U1 せ mR R3 Vo R2 R1 帝