EE2005-Tutorial5_9171380_2

# EE2005-Tutorial5_9171380_2 - NATIONAL UNIVERSITY of...

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NATIONAL UNIVERSITY of SINGAPORE Department of Electrical and Computer Engineering EE2005 – Electronics Tutorial 5 (Homework Assignment: Do Questions 1 and 5, and hand-in your solutions to your Tutorial Group Representative on Tuesday, 29 th September, 2009, 1:30 pm at LT6 ) 1. (a) In the DC transfer characteristic for a CMOS inverter employing matched N- MOSFETs and P-MOSFETs, V IH is determined in the region where the N-MOSFET is in the linear region, i DN = K [( v I – V th ) v o 0.5 v o 2 ] and the P-MOSFET is in the saturation region: i DP = 0.5K ( V DD – v I – V th ) 2 . Show that (v I – V th )v o – 0.5v o 2 = 0.5 (V DD – v I -V th ) 2 (1 mark) and that (v I – V th ) I o dv dv +v o – v o I o dv dv = – (V DD – v I –V th ). (1 mark) (b) Assuming that v I = V IH and I o dv dv = 1, show that v O = V OL = V IH ( V DD /2). (2 marks) (c) Using v I = V IH and v O = V IH ( V DD /2), show that V IH = (5 V DD 2 V th )/8. (2 marks) (d) Show that in the region of the transfer characteristic where the N-MOSFET is in

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EE2005-Tutorial5_9171380_2 - NATIONAL UNIVERSITY of...

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