Solution 3.8.2.1 Let Z 1 = R 1 + 1 C 1 s = R 1 C 1 s +1 C 1 s ;; and Z 2 = R 2 C 2 s R 2 + 1 C 2 s = R 2 R 2 C 2 s +1 : Then V o (s)=  Z 2 Z 1 + Z 2  V i ;; Thus V o (s) V i (s) = R 1 C 1 s+1 C 1 s R 1 C 1 s+1 C 1 s + R 2 R 2 C 2 s+1 (C 1 s)(R 2 C 2 s +1) (C 1 s)(R 2 C 2 s +1) = (R 1 C 1 s +1)(R 2 C 2 s +1) (R 1 C 1 s +1)(R 2 C 2 s +1)+R 2 C 1 s = R 1 R 2 C 1 C 2 s 2 +(R 1 C 1 + R 2 C 2 )s +1 R 1 R 2 C 1 C 2 s 2 +(R 1 C 1 + R 2 C 2 + R 2 C 1 )s +1 = s 2 + R 1 C 1 +R 2 C 2 R 1 R 2 C 1 C 2 s + 1 R 1 R 2 C 1 C 2 s 2 + R 1 C 1 +R 2 C 2 +R 2 C 1 R 1 R 2 C 1 C 2 s + 1 R 1 R 2 C 1 C 2 : 1