(t0 is the time point where signal “a” toggles 1

Info iconThis preview shows pages 4–5. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (t0 is the time point where signal “a” toggles) 1 1 1 2 1 2 L t t t out C V D D O U T V D D O U T L O U T t t VDD L O U T O U T L DD dV E i V d t i V d t C V d t dt C V d V C V = • = • = • = = ∫ ∫ ∫ ∫ 5.2 Energy dissipated in the switching transistor 1 1 1 2 ( ) ( ) ( ) ( ) 1 2 t t t out Dis VDD DD OUT VDD DD OUT L DD OUT t t VDD L D D O U T O U T L DD dV E i V V d t i V V d t C V V d t dt C V V d V C V = • − = • − = • − = − = ∫ ∫ ∫ ∫ 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 2 t t t out Total VDD DD VDD DD L DD t t VDD L D D O U T 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 Π Ξ Μ Ν Λ = . Since the switch charges the cap in two steps, the total energy 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....
View Full Document

{[ snackBarMessage ]}

Page4 / 5

(t0 is the time point where signal “a” toggles 1 1 1 2...

This preview shows document pages 4 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online