DC Analysis of a MOSFET Transistor Circuit

When doing DC analysis, all AC voltage sources are taken out of the circuit because they`re AC sources. DC analysis is concerned only with DC sources. We also take out all capacitors because in DC, capacitors function as open circuits. For this reason, everything before and after capacitors are removed, which in this circuit includes resistor, Rs.
DC Analysis of a MOSFET Transistor Circuit - schematic

Now let`s do the calculations for DC analysis. Vgs is the voltage that falls across the gate and the source of the mosfet transistor. It is crucial to calculate because in order to solve for Ids, the current from the drain to the source, Vgs must be known. Once you solve for Ids, you will get two currents from solving that quadratic equation. The current that produces a Vgs which is greater than Vtn is the real current of the circuit and the other should be eliminated.

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