(Solved): In the following circuit, VDD=VSS. (a) Classify the circuit as a common-source, common-gate ...

In the following circuit, $$V_{DD}=V_{SS}$$. (a) Classify the circuit as a common-source, common-gate or common-drain amplifier. (1 Mark) (b) What is the requirement of $$I_{SS}$$ for the circuit to operate as a class-A amplifier? Assume the largest output $$\left(v_0\right)$$ be $$V_{\mathrm{DD}}\cos (?t)$$. (3 Marks) (c) Find the maximum power efficiency of the circuit. ( 6 Marks) (d) Now consider $$v_{IN}=A\cos \left({?}_{o}t\right),R_L=20\mathrm{k}?,I_{SS}=0.1\mathrm{mA}$$. The transistor parameters are $$K_n=$$ $${?}_n{C}_{ox}\frac{W}{L}=200?\mathrm{A}/{\mathrm{V}}^2$$ and $$V_{tn}=0.5\mathrm{V}$$. i) Find the overdrive voltage of the transistor when $$v_{IN}=0$$. (1 Mark) ii) Find $$\frac{d{v}_O}{d{v}_{IN}}$$ at $$v_{IN}=0$$, and thus the amplitude of the first harmonic of $$v_0$$ in terms of $$A$$. (4 Marks) iii) Find $$\frac{d^2{v}_O}{d{v}_{IN}^2}$$ at $$v_{IN}=0$$, and thus the amplitude of the second harmonic of $$v_O$$ in terms of $$A$$. (4 Marks) iv) What is the maximum value of $$A$$ such that the second harmonic of $$v_0$$ is equal to or smaller than $$1\%$$ of the first harmonic? ( 1 Mark) \{Taylor series: $$f(x)=f(a)+f^{?}(a)(x?a)+\frac{f^{??}(a)}{2!}(x?a{)}^2+?$$ A trigonometric identity you may need: $${\cos }^2?=\frac{\cos 2?+1}{2}$$.