below I have the following problem along with the circuit's picture
My analysis is as follows:
for G and D open
\begin{equation} I_{D1}=I_{D2}\hspace{10mm}therefore\hspace{10mm}V_{ov1}=\:V_{ov2} \end{equation} \begin{equation} V_G+0.5=0.5-V_G\hspace{5mm}therefore\hspace{5mm}V_G=0 \end{equation} using the this equation: \begin{equation} I_D=\frac{1}{2}k_nV_{ov}^2 \end{equation} we see that: \begin{equation} I_{D1}=I_{D2} = 0.125mA \end{equation}
My problem is that my analytical results don't agree with my simulation results below
We see from the simulation that V_G = 0.4375 which is not zero according to my analytical work. Also, the current I_D = 0.000439453 which is not 0.125mA according to my calculations. Can somebody please tell me what am I doing wrong. Thanks in advance for all the help.