Consider the active-loaded CMOS amplifi er of but with both inputs at ac ground. Assume the M1-M2 and M3-M4 pairs are separately matched, and the body effect of M1 and M2 can be ignored. (a) Replace...

Consider the active-loaded CMOS amplifi er of but with both inputs at ac ground. Assume the M1-M2 and M3-M4 pairs are separately matched, and the body effect of M1 and M2 can be ignored. (a) Replace each transistor with its small-signal model consisting of a gmvgs source and parallel resistance ro. Hence, apply a test voltage v to the node common to M1’s and M3’s drains, fi nd the resulting current i out of the test source, and show that __v i 5 rop//(2 ron 1 rop) 1 1 gmp rop (b) How does the ratio vyi simplify if ron 5 rop 5 ro? What is its value if gmp 5 1 mA/V and ro 5 20 kV?