Shown below are six capacitors in two circuits. The capacitors are l mu F, 2 mu

Question

Shown below are six capacitors in two circuits. The capacitors are l mu F, 2 mu F, or 3 mu F, and all are fully charged. The batteries in the two circuits are ideal and identical. Rank these capacitors in terms of the charge stored in each capacitor. That is, put first the capacitor that has the largest charge stored, and put last the capacitor that has the smallest charge stored. If two or more capacitors result in identical charge stored, give these capacitors equal ranking. Largest 1 _____ 2 _____ 3 _____ 4 _____ 5 _____ 6 _____ Smallest Or, all six capacitors have the same charge stored. _____ Please carefully explain your reasoning.

Explanation / Answer

first consider capacitors in series circuit ,the equivalent capacitance is

1/C =1/1 +1/2 +1/3

C=0.5454 uF

charge through each capacitor

QA=QB=QC=CeqV=(0.5454u)V

now consider parallel circuit ,charge through each capacitor

QD=CDV=(3u)V

QE=CEV=(2u)V

QF=CFV=(1u)V

Therefore ranking

D>E>F>A=B=C

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