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I think that such a device does add noise. Though we speak of negative resistance we always end up with what we call incremental resistance. Absolute resistance is always positive.
I am designing an LDO to produce a regulated 1.8V from an unregulated 3V supply with 50 mA as max current. For this the W/L of the Mosfet turns out to be around 2000. For compromising this making the transistor to go in linear region will reduce the W/L drastically to around 100 but increase...
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