A particular IC chip can dissipate \(3 \mathrm{~W}\) and contains 10 million CMOS inverters. Each inverter is being switched at a frequency \(f\).

(a) Determine the average power that each inverter can dissipate without exceeding the total allowed power.

(b) If the switching frequency is \(f=5 \mathrm{MHz}\), what is the maximum capacitive load on each inverter if (i) \(V_{D D}=5 \mathrm{~V}\), (ii) \(V_{D D}=3.3 \mathrm{~V}\), and (iii) \(V_{D D}=1.5 \mathrm{~V}\).