An enhancement-mode n-channel MOSFET has gate-source threshold voltage VTR = +2V and source-drain conductance parameter K = 1.0 mA/V2 (= the constant of proportionality between source-drain current and the square of the excess of gate-source voltage over the threshold voltage, when the MOSFET is in constant-current or saturation mode). Its source terminal is connected to ground. The gate terminal is connected direct to the drain terminal and also to one end of a 1 kΩ resistor. The other end of this resistor is connected to the +15V supply. (i) Show that, assuming it is conducting at all, the MOSFET is operating in constant-current (i.e., saturation) mode; (ii) calculate the current in the resistor and the voltage across it.

An enhancement-mode n-channel MOSFET has gate-source threshold voltage V_TR = +2V and source-drain conductance parameter K = 1.0 mA/V² (= the constant of proportionality between source-drain current and the square of the excess of gate-source voltage over the threshold voltage, when the MOSFET is in constant-current or saturation mode). Its source terminal is connected to ground. The gate terminal is connected direct to the drain terminal and also to one end of a 1 kΩ resistor. The other end of this resistor is connected to the +15V supply. (i) Show that, assuming it is conducting at all, the MOSFET is operating in constant-current (i.e., saturation) mode; (ii) calculate the current in the resistor and the voltage across it.