Mosfet as Diode Connected Transistor

Before starting , check the video(link given below) for Drain current vs Gate to source potential graph for nmos in Saturation:
https://www.youtube.com/watch?v=LLYpepZCEC4&t=559s

When the drain and gate of a MOSFET are connected together , a two- terminal device known as a "Diode-connected transistor" results.
Check the video given below for detail explanation:


You can check the video from youtube via this link:

https://www.youtube.com/watch?v=71qOESybdOk&t=852s

Now , let us try to solve some numericals based on this concept:




Example 2:


Example 3:


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