The gate terminal is grounded and the input signal typically applied to the source terminal and the output signal obtained at the drain terminal.
For the DC analysis, the capacitors can be replaced by open circuits.
Since \(I_G \simeq 0\ A\) and \(I_D = I_S\)
\(\boxed{V_G = 0\ V}\)
\(V_{GS} + I_S R_S - V_{SS} = 0\) \(V_{GS} + I_D R_S - V_{SS} = 0\)
\(\boxed{V_{GS} = V_{SS} - I_D R_S}\)
Substituting \(V_{GS}\) to Shockley’s equation:
\(I_D = I_{DSS} \left( 1 - V_{GS}/V_P \right) ^ 2\)
\(\boxed{I_D = I_{DSS} \left( 1 - \frac{V_{SS} - I_D R_S}{V_P} \right) ^ 2}\)
\(-V_{DD} + I_D R_D + V_{DS} + I_S R_S - V_{SS} = 0\) \(-V_{DD} + I_D \left( R_D + R_S \right) + V_{DS} - V_{SS} = 0\)
\(\boxed{V_{DS} = V_{SS} + V_{DD} - I_D \left( R_D + R_S \right)}\)
\(\boxed{V_D = V_{DD} - I_D R_D}\)
\(\boxed{V_S = I_D R_S - V_{SS}}\)