We're supposed to analyze this circuit and this particular question asks us to find the drain current of the mosfet. I keep getting an answer of Id = 3.54mA and Vds = 6.3675V. Since the gate voltage is zero Vgs = 0-Vs= -Vs. Using the current flowing through the source resistance, I came up with Vs = IsRs - 7.5V. Since the source current is equal to the drain current, Id = 0.5*kn*(Vgs-Vtn)^2 = 0.5*kn*(-Vs-Vtn)^2. I plugged in the eqn for the source current in the expression for Vs which leaves Vs as the only unknown and then obtain Vs = -1.8411V, then I plug in Vs into the eqn for the drain current and solve for Vd, for which I get Vd = 4.5264V. Thus Vds = 6.3675V.
Can someone point out where I'm making an error?