Lectue09_Kim

Lectue09_Kim - Lecture 9-1 Capacitors in Parallel V is...

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Lecture 9-1 Capacitors in Parallel Equivalent Capacitor: V is common 1 2 3 1 2 3 q q q V C C C q C V where 1 2 3 q q q q 1 2 3 0 1 2 3 1 2 3 0 1 2 3 () eq eq C C C C A A A d C A A q q q V A A A d  Consistent with parallel- plate capacitor result of 0 A CA d 

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Lecture 9-2 Capacitors in Series Equivalent Capacitor: q C V where 1 2 3 V V V V 1 2 3 3 0 0 12 0 0 0 1 2 3 1 2 3 1 2 3 1 1 1 1 1 eq eq eq C C C C d A A dd C CA V V V q A A d d d d d d d d     Consistent with parallel- plate capacitor result of 0 1 1 A C or d C  1 1 2 2 3 3 q CV C V C V   q is common
Lecture 9-3 Summary • The equivalent capacitance for n capacitors in parallel is • The equivalent capacitance for n capacitors in series is 1 n eq i i CC 1 11 n i eq i = = 00 1 2 3 1 2 3 eq AA C d d d d d d d d    0 1 2 3 eq C A A A A A d Example :

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Lecture 9-4 Conductor inserted between plates • Two capacitors of area A in series - Q - Q a b A parallel-plate capacitor with conductor inserted in the middle
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Lectue09_Kim - Lecture 9-1 Capacitors in Parallel V is...

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