Q1. (a) List four characteristics of an ideal operational amplifier and their practical deviations. (b) A second order filter stage is shown in figure-Q1. R ww R R3 Vin ww Vo Figure-Q1 i. Show that the transfer function is given by R R A(s) = - 1+C (R + R3+)s+CCRRs* R1 ii. Use the second order stage in figure-Q1 and other circuitry as necessary to design a third- order unity gain Butterworth low-pass filter with a cutoff frequency fc = 50kHz. Note: Butterworth coefficients of the third order filter are, Stage i a bi Order n 3 1 1 0 2 1 1 for a transfer function of a stage of the form, Ao Ai(s) 1+as+bis S C C