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Unformatted text preview: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 2 2 2 2 2 2 1 1 1 1 o i o o L L L R e t e t e t R I t e t L I t L L R R =+ & & (8) Taking the derivative of equation (8) and substituting equation (3) and its derivative into the resulting equation ( 29 ( 29 ( 29 ( 29 2 2 2 2 2 1 1 1 1 1 1 o o o i L R L R L e t e t e t e t R R L L L + + + + = && & & (9) Taking the Laplace Transform of equation (9), assuming zero initial conditions, and rearranging ( 29 ( 29 ( 29 1 2 2 1 2 1 1 1 2 1 2 1 2 o i E s R L s E s L L s R L L R R L s R R = + + + + (10) I 3 I 1 I 2 L 1 R 1 L 2 e i (t) +e o (t) +R 2 A Figure 12.1 2...
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 Spring '11
 LANDERS

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