The transfer function H(s) = 1/(s + 1) 2 of a filter is to be implemented by

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The transfer function H(s) = 1/(s + 1)2of a filter is to be implemented by cascading two first order filters Hi(s) = 1/(s + 1), i = 1, 2.

(a) Implement Hi(s) as a series RC circuit with input vi(t) and output vi +1(t), i = 1, 2. Cascade two of these circuits and find the overall transfer function V3(s)/V1(s). Carefully draw the circuit.

(b) Use a voltage follower to connect the two circuits when cascaded and find the overall transfer function V3(s)/V1

(s). Carefully draw the circuit.

(c) Using the voltage follower circuit implement a new transfer function

G(s) (s + 1000)(s + 1)

Carefully draw your circuit.

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