For the CMOS inverter with given voltage transfer characteristics and

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For the CMOS inverter with given voltage transfer characteristics and schematic, a) Find (VI, VO) in terms of VDD, VTn, VTp, Kn, Kp, and VM at points A, B, C, and D. For points B and C, use VM as the value of VI. b) Determine the states of the transistors in each region (I-to-V). Note that region III corresponds to the line between points B and C. You do not need to verify the states c) Derive VM in terms of VDD, VTn, VTp, Kn, and Kp. For VDD = 5 V and VTn = |VTP| = 1 V, find Kn/Kp to design a CMOS inverter with VM = 0.6 VDD = 3 V.

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Q3 (30 pts). For the CMOS inverter with given voltage transfer characteristics and schematic, a) Find

(v_{1}, v_{0})

in terms of

V_{D D}, V_{T n}, V_{T p}, K_{n}, K_{p}

, and

V_{M}

at points

A, B, C

, and

D

. For points

B

and

C

, use

V_{M}

as the value of

v_{1}

. b) Determine the states of the transistors in each region (I-to-

V

). Note that region III corresponds to the line between points

B

and

C

. You do not need to verify the states c) Derive

V_{M}

in terms of

V_{D D}, V_{T n}, V_{T p}, K_{n}

, and

K_{p}

. For

V_{D D} = 5 V

and

V_{T n} = | V_{T P} | = 1 V

, find

K_{n} / K_{p}

to design a CMOS inverter with

V_{M} = 0.6 V_{D D} = 3 V

.

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