Question

For the circuit shown below find the frequency response 𝐻(𝑗𝜔) = 𝑉𝑜(𝑗𝜔) 𝑉𝑖 (𝑗𝜔) . (b) Plot the Bode diagram (magnitude only) and verify that the circuit acts as a second-order low-pass filter with gain of 1 and cutoff frequency of 1 rad/s (Assume that op-amps are ideal). (c) Use the circuit in part (a) as a prototype filter to design a second-order low-pass filter with cut-off frequency of 10KHz and gain of 20dB. Use as many 10KΩ resistors as possible and draw the circuit diagram of filter and label all the component values. Hint: You will need to add an additional circuitry to the scaled circuit to satisfy all of the above specifications.