Find the transfer functions for the following circuits (10 points / circuit) assuming ideal op amps. write your transfer function in terms of the variables r1, r2, c1, and c2 (i. e., do not use the numeric values) (b) calculate the locations of poles and zeros for the circuit (10 points / circuit). give both analytic expressions in terms of r1, r2, c1, and c2 as well as numeric values. (c) determine whether the circuit is likely to be stable or unstable (5 points / circuit) assuming the numeric values given for r1, r2, c1, and c2.

Acommercial grade cubical freezer, 4 m on a side, has a composite wall consisting of an exterior sheet of 5.0-mm thick plain carbon steel (kst= 60.5 w/m k), an intermediate layer of 100-mm thick polyurethane insulation (kins 0.02 w/m k), and an inner sheet of 5.0- mm thick aluminium alloy (kal polyurethane insulation and both metallic sheets are each characterized by a thermal contact resistance of r 2.5 x 104 m2 k/w. (a) what is the steady-state cooling load that must be maintained by the refrigerator under conditions for which the outer and inner surface temperatures are 25°c and -5°c, respectively? (b) for power saving purpose, which wall material should be increased/reduced in. thickness in order to reduce 50% of the cooling load found in part (a)? redesign the thickness of the proposed material. 177 w/m-k). adhesive interfaces between the q=575.93 w