H5P1 ZERO-OFFSET AMPLIFIER

In many amplifiers, we use dual power supplies so we can obtain a 0V offset at the output, that is, the DC operating point at the output is 0V. An example amplifier circuit that can achieve this is shown below.
In this circuit, VS+=1.0V, VS−=−1.0V, and the MOSFET parameters are K=1 mAV2 and VT=0.5V.
what formulas do i need

Question

H5P1 ZERO-OFFSET AMPLIFIER

In many amplifiers, we use dual power supplies so we can obtain a 0V offset at the output, that is, the DC operating point at the output is 0V. An example amplifier circuit that can achieve this is shown below.
In this circuit, VS+=1.0V, VS−=−1.0V, and the MOSFET parameters are K=1 mAV2 and VT=0.5V.
what formulas do i need

anonymous · Answer

did you get correct the Max VIN?

anonymous · Answer

not yet. i'm still on it. can you help, please?

anonymous · Answer

Actually in finding valid Operating ranges 
$$V0 = [-1 + \sqrt{1+2*K*RL*Vs}  ] \div KRL$$
In the above formula Vs= applied voltage across RL and Drain to Source( i.e Vds)..
$$Vs=ids∗RL+Vds(or)Vs=ids∗RL+V0$$
But in given problem , by applying KVL to output loop we get 
$$Vds+idsRL=Vs+(−Vs−)$$   $$Vds+ids∗RL=1−(−1)=2$$
So in finding V0 substitute$$Vs=2 $$  (NOT 1)
And we know Valid maximum input range is $$Vgs = V0 + Vthershold$$
Applying KVL to input loop $$Vin=Vgs+Vs−$$
Substitue the value ...You will get it !!!!!!
Cheers!!!!