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problem26_39

# problem26_39 - 26.39 a The time constant RC(0.895 106 t 0 s...

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26.39: a) The time constant : at So . s 1 . 11 ) F 10 4 . 12 ( ) 10 895 . 0 ( 6 6 = × × = - RC . 0 ) 1 ( : s 0 / = - = = - RC t e q t . C 10 70 . 2 ) 1 ( ) V 0 . 60 ( ) F 10 4 . 12 ( ) 1 ( : s 5 4 ) s 1 . 11 /( ) s 0 . 5 ( 6 / - - - - × = - × = - = = e e q t RC t . C 10 42 . 4 ) 1 ( ) V 0 . 60 ( ) F 10 4 . 12 ( ) 1 ( : s 10 4 ) s 1 . 11 /( ) s 0 . 10 ( 6 / - - - - × = - × = - = = e e q t RC t . C 10 21 . 6 ) 1 ( ) V 0 . 60 ( ) F 10 4 . 12 ( ) 1 ( : s 20 4 ) s 1 . 11 /( ) s 0 . 20 ( 6 / - - - - × = - × = - = = e e q t RC t . C 10 44 . 7 ) 1 ( ) V 0 . 60 ( ) F 10 4 . 12 ( ) 1 ( : s 100 4 ) s 1 . 11 /( ) s 100 ( 6 / - - - - × = - × = - = = e e q t RC t b) The current at time t is given by: : at So . / RC t e R ε i - = . A 10 70 . 6 10 95 . 8 V 0 . 60 : s 0 5 1 . 11 / 0 5 - - × = × = = e i t . A 10 27 . 4 10 95 . 8 V 0 . 60 : s 5 5 1 . 11 / 5 5 - - × = × = = e i t . A 10 27 . 2 10 95 . 8 V 0 . 60 : s 10 5 1 . 11 / 10 5 - - × = × = = e i t . A 10 11

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