Consider the transconductance amplifier shown in given Figure. Assume the op-amp is ideal.
(a) Derive the expression for the transconductance function Ag f = Io/Vi.
(b) If the circuit is designed such that RF /R1 = R3/R2, show that Io/Vi = -1/R2.
(c) Design the circuit such that Io/Vi = -0.5 mA/V.