Consider the circuit in Fig. 3. (a) Derive the transfer function T(s)

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Consider the circuit in Fig. 3. (a) Derive the transfer function T(s) = Vo/Vi. [10%] (b) For R1 = R2 = R and C1 = C2 = C, find the quality factor Q of the system based on its transfer function. [10%] (c) For R1 = R2 = R and C1 = C2 = C, find the gain and the phase of the circuit at ω = 1/(RC)⋅[10%] Fig. 3

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Consider the circuit in Fig. 3. (a) Derive the transfer function $T (s) = V_{o} / V_{i}$ . [10%] (b) For $R_{1} = R_{2} = R$ and $C_{1} = C_{2} = C$ , find the quality factor $Q$ of the system based on its transfer function. [10%] (c) For $R_{1} = R_{2} = R$ and $C_{1} = C_{2} = C$ , find the gain and the phase of the circuit at $ω =$ $1 / (R C) \cdot [10 %]$ Fig. 3