ch07_solutions

# V tn v h v tn r onn c ln 4 5 1 5 1 2 5 1 129 r onn c

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• DrRockPenguin10486
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V TN V H - V TN = R onn C ln 4 5 - 1 5 + 0 - 1 + 2 5 - 1 = 1.29 R onn C t PHL = 1.29 0.25 x 10 - 12 ( 29 2 1 25 x 10 - 6 ( 29 5 - 1 ( 29 = 1.61 ns | t PLH = t PHL | t P = t PHL + t PLH 2 = 1.61 ns P = CV DD 2 f = 0.25 pF ( 29 5 2 ( 29 100 MHz ( 29 = 0.625 mW | PDP = 0.625 mW 1.61 ns ( 29 = 1.01 pJ 7.38 Since the operating frequency is not specified in part (a), we can calculate a normalized value per MHz of switching frequency. The best case PDP is then found in part (b). a ( 29 t PHL = R onn C ln 4 V H - V TN V H + V L - 1 + 2 V TN V H - V TN = R onn C ln 4 3.3 - 0.75 3.3 + 0 - 1 + 2 0.75 ( 29 3.3 - 0.75 = 1.39 R onn C t PHL = 1.39 0.2 x 10 - 12 ( 29 2 1 25 x 10 - 6 ( 29 3.3 - 0.75 ( 29 = 2.18 ns | t PLH = 1.39 R onp C = 1.39 0.2 x 10 - 12 ( 29 5 1 10 x 10 - 6 ( 29 3.3 - 0.75 ( 29 = 2.18 ns t P = t PHL + t PLH 2 = 2.18 ns | P f = CV DD 2 = 0.20 pF ( 29 3.3 2 ( 29 10 6 ( 29 = 2.18 m W MHz PDP f = 2.18 m W MHz 2.18 ns ( 29 = 4.75 fJ MHz b ( 29 f max 2245 1 t r + t f = 1 2 t PHL + 2 t PLH = 1 4 t P = 115 MHz | PDP = 4.75 fJ MHz 115 MHz ( 29 = 0.547 pJ 7.39 Since the operating frequency is not specified in part (a), we can calculate a normalized value per MHz of switching frequency. The best case PDP is then found in part (b).

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