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A capacitor of 5 muF is charged to a pot...

A capacitor of `5 muF` is charged to a potential of `100 V`. Now, this charged capacitor is connected to a battery of `100 V` with the posiitive terminal of the battery connected to to the negative plate of the capacitor . For the given situation, mark the correct statement(s).

A

The charge flowing through the `100 V` battery is `500 muC`,

B

The charge flowing through the `100 V` battery is `1000 V`

C

Work done by on the battery is `0.1 J`

D

Work done on the battery is `0.1 J`.

Text Solution

Verified by Experts

The correct Answer is:
B, C

Initial condition just after the connection of battery:
.
Condition after a long time:
It means battery supplies `100 muC` charge from its positive terminal and an equal and opposite charge enters from itsnegative terminal,i.e.,charge flow through battery is `1000 muC. Work done by the battery is
`W_("battery")=100Vxx10^(3) muC=0.1 J`
From energy conservation law, `U_(i)+W_("battery")=U_(f)+DeltaH`
`U_(i)=U_(f)` so `DeltaH=01 J`
.
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