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In the figure shows, all the capacitors are initially uncharged. Case I: only switch `S_1` is closed Case II: only switch `S_2` is closed Case III: both swithces are closed Find the ratio of the total energy stored in the system of capacitors for the cases I, II, and III, respectively. A. `1:2:3`B. `5:7:9`C. `6:8:9`D. `9:7:6` |
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Answer» Correct Answer - C Case I: `C_(eq)=2C,U_(1)=(1)/(2)2CE^(2)=CE^(2)` Case II: `C_(eq)=(8C)/(3),U_(2)=(1)/(2)(8C)/(3)E^(2)=(4)/(3)CE^(2)` Case III: The upper `2C` will be short-circuited. `U_(3)=(1)/(2)CE^(2)+(1)/(2)2CE^(2)=(3)/(2)CE^(2)` `U_(1):U_(2):U_(3)=6:8:9` |
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