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Require a Desgin of A MOSFET based Switch , for study purpose .

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You are still missing a basic understanding of MOSFET operation.

To get a better idea, you can use the post #9 simulation circuit and perform a dc sweep as shown below. Determine for which Id and Vds range the transistor is in cutoff, saturation and ohmic mode. You'll find that a transistor switch is only temporarily in saturation, you want to avoid this operation due to high power dissipation.

View attachment 157373

Sir,
Now cleared the doubts learned charactrestics lot of . And I Concluded that the desgin as follows .

VDD =12Volt
Vgs = 5volt (at maximum current 1.69ampere when the ohmic region then the Vgs volt is 2.9v . there2.1volt drops)
Vds@ON =Vout = 145mv.
Capture.PNG
 

Your Mosfet has no part number for you to see its datasheet.
A Mosfet part number has a range of on-resistance at a Vgs of 10V for most of them or a Vgs of 4.5V for a "logic-level" one. Therefore some Mosfets are more sensitive than others.
You will need to buy many Mosfets with the same part number to maybe find one that works like you show.
 

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