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## Q. 6.14

Can we construct a (two-terminal) inductor from a source follower?

## Verified Solution

Yes, we can. Called an “active inductor,” such a structure is shown in Fig. 6.30(a), providing an inductance of $(C_{GS2}/g_{m2})(R_S − 1/g_{m2})$. But the inductor is not ideal because it also incurs a parallel resistance equal to $R_1 = R_S = 1/g_{m2}$ and a series resistance equal to $1/g_{m2}$. Figure 6.30(b) depicts an application of active inductors: the inductance can partially cancel the load capacitance, $C_L$ , at high frequencies, thus extending the bandwidth. However, the voltage headroom consumed by $M_2 (= V_{GS2})$ limits the gain. Also, $C_{G D2}$, which has been neglected in our analysis, limits the bandwidth enhancement.