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If I recall correctly, saturation occurs if \$V_{GS}>V_{TH}\$ and \$V_{DS}>V_{Dsat}\$ for NMOS. But is there an upper limit for the voltage? Like, when does a transistor not saturate after continually increasing \$V_{GS}\$?

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For NMOS, the conditions \$V_{GS}>V_{TH}\$ and \$V_{DS}>V_{GS}-V_{TH}\$ ensure saturation.

So an NMOS in saturation can come out of saturation if the applied \$V_{GS}\$ is increased beyond \$V_{GS}=V_{DS}+V_{TH}\$.

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    \$\begingroup\$ The other limit is the gate oxide breakdown voltage, where everything goes up in smoke … \$\endgroup\$ – CL. Nov 10 '18 at 8:41

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