(a) [P.C] Obtain the expression for the output voltage (V.) of the amplifier when the

actuator is driven (excited) by an AC source Vin operating at a frequency o. [Hint:

apply superposition principle and express the sources and the capacitor in complex

frequency].

(b) [D] The purpose the readout circuit is to amplify the VPzr and reject any output due

to Vin (Vo due to Vin is to be zero). How can the purpose of the amplifier circuit be

achieved based on your expression in (a)?

(c) [P.C] Assuming R₁ = R₂, C₁ = C₂ = Cpzr and R, >> obtain the expression for

the gain of the amplifier (VO/VPZT).

(d) [HD] Could you suggest a modification to the readout circuit (or new altogether) that

improves the gain of the amplifier and better achieve the purpose of the circuit. [5

marks]