Assume that the transistor parameters L, W, t, and Vt change because of Moore’s law, but not the...

Assume that the transistor parameters L, W, t, and Vt change
because of Moore’s law, but not the parameter . Also assume that, from one
c-MOS generation to the next, L shrinks by a factor : if the transistor length
is L0 in a certain generation, then it is L0/ in the next generation (with >
1). Each time that L is divided by , the other parameters are divided by some
factor n. Consider three different scaling laws [118, 119]: (a) The ideal
constant-voltage scaling, (b) The ideal constant-electric-field scaling, and
(c) The historic scaling, with n according to Table 4.5. If the energy
dissipation is Q0 in a certain generation, then it is Q0/m in the next
generation. What is the exponent m for each of the three models?