8.1

Restate the definitions of g _m, g _mb, and g _sd in terms of voltages V _G, V _B, V _D, and V _S, all taken with respect to an arbitrary reference. Put these in a form as simple as possible.

8.2

Discuss what types of I-V plots you would need in order to determine g _m, g _mb, and g _sd graphically, and describe the procedure for determining these parameters. Discuss qualitatively the accuracy you would expect from such a procedure.

8.3

Prove (8.2.11).

8.4

For an n-channel device in strong inversion with V _T0 = 0.5 V, V _SB = 0 V, ( W/L) ? C ? _ox = 30 ?A/V ², and ? = 1.5, plot: ( a) g _m vs. V _GS with V _DS as a parameter, ( b) g _m vs. V _DS with V _GS as a parameter.

8.5

Prove (8.2.16) and (8.2.17).

8.6

Assume that the effective mobility varies with V _GS according to (4.10.20), with ? _B = _B = 0. Show how (8.2.16) should be modified to take this effect into account.

8.7

Prove (8.2.19) and (8.2.20).

8.8

For a given I _DS and V _SB, state qualitatively what will happen to the ratios g _mb/ g