Assume our usual nMOS model where: Ohmic region ID?=kVDS?(VGS??VTH?)whenVDS?

Question

Assume our usual nMOS model where: Ohmic region

I_{D} = k V_{D S} (V_{GS} ? V_{T H}) when V_{D S} < V_{GS} ? V_{T H}

Active region

I_{D} = k (V_{GS} ? V_{T H})^{2} when V_{D S} ? V_{GS} ? V_{T H}

Consider the following circuit and the family of IV characteristic curves. You are given that

V_{T H} = 1 V, V_{DD} = 6 V

, and

R_{D} = 200?

. Use the

I_{D} ? V_{D S}

characteristics to find the transitor parameter

k

and the value of

V_{CS}

that produces

V_{D S} = 0.86 V

.

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