Consider the common-source circuit shown in Figure P8.6. The transistor parameters are \(V_{T N}=4 \mathrm{~V}\) and \(K_{n}=0.2 \mathrm{~A} / \mathrm{V}^{2}\).

(a) Design the bias circuit such that the \(Q\)-point is in the center of the load line.

(b) What is the power dissipated in the transistor at the \(Q\)-point?

(c) Determine the minimum rated \(I_{D, \text { max }}, V_{D S, \max }\), and \(P_{D, \text { max }}\) values.

(d) If \(v_{i}=0.5 \sin \omega t \mathrm{~V}\), calculate the ac power delivered to \(R_{L}\), and determine the average power dissipated in the transistor.

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VDD = 50 V ; R =2012 R ww HH C +1 ww R Figure P8.6