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53 total energy supplied 2 2 2 1 1 2 2 l total dis c

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5.3 Total energy supplied 2 2 2 1 1 2 2 L Total Dis C L DD L DD L DD E E E C V C V C V = + = + = Or 1 1 1 0 0 0 0 2 t t t out Total VDD DD VDD DD L DD t t VDD L DD OUT L DD dV E i V dt i V dt C V dt dt C V dV C V = = = = = Case 2: 5.1 Energy stored on the capacitor C L (t0 is the time point where signal “a” toggles) Same as in Case 1: 2 2 1 DD L C V C E L = . That is, the energy stored depends on the final voltage, regardless of how the capacitor was charged. 5.2 Energy dissipated in the switching transistor The switch will dissipate one half of the energy supplied to the cap at every step, or 2 2 8 1 2 2 1 DD L DD L Diss V C V C E = Ο৿ Πਏ Ξ৯ Μ৏ Νয় Λি = . Since the switch charges the cap in two steps, the total energy
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dissipated is twice, or 2 2 4 1 8 1 2 DD L DD L TDiss V C V C E = = . Try doing the integration and check that you get the same result. 5.3 Total energy supplied The total energy supplied is the sum of he stored energy and the total dissipated energy, or 2 2 2 4 3 2 1 4 1 DD L DD L DD L T V C V C V C E = + = Problem 4 Threshold voltage for nMOS transistor decreases with (select all that apply): a. increase in temperature b. increase in body potential relative to the source c. increase in drain potential relative to the source d. decrease in substrate doping e. increase in oxide thickness a, b, c and d a: VT has a negative temperature coefficient
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