Using the n extra element theorem neet derive an expression

Question

1. Consider the circuit shown below

The transfer function for the above circuit A_v(s) can be expressed in the following form

A_v(s) = v_o(s)/v_i(s) = A_v(REF)[N(s)/D(s)]

Assume that the reference state for each capacitor is an open circuit.

Using the n Extra Element Theorem (nEET), derive an expression for the transfer function A_V(S)

2 . Consider the circuit shown below

The transfer function for the above circuit A_v(S) can be expressed in the following form

A_v(s) = v_o/v_i = A_v(REF)[N_(s)/D_(s)]

Assume that the reference state for each capacitor is an open circuit.

Using the n Extra Element Theorem (nEET), derive an expression for the transfer function

3. Consider the circuit shown below.

The transfer function for the above circuit A_v(s) can be expressed in the following form

A_v(s) = v_o(s)/v_i(s) = A_v(REF)[N_(s)/D_(s)]

Assume that the reference state for each inductor is an open circuit.

Using the n Extra Element Theorem (nEET), derive an expression for the transfer function