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A capacitor C is charged to a potential ...

A capacitor C is charged to a potential V by a battery. It is then disconnected from the battery and again connected with its polarity reversed to the battery

A

`0.5CV^(2)`

B

`CV^(2)`

C

`2CV^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
c

The battery needs to supply 2CV charge to reverse the polarity. Energy stored remains same hence work done by the battery
`(W_(b)=(2CV)V=2CV^(2))` is lost as heat in recharging.
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MODERN PUBLICATION-ELECTROSTATIC POTENTIAL AND CAPACITANCE -Competition file (MULTIPLE CHOICE QUESTIONS based on a given passage/comprehension)
  1. A capacitor of capacitance C is connected across a battery of potentia...

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  2. If and uncharged capacitor is charged by connected it to a battery, th...

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  3. When a battery of emf E volts is connected across a capacitor of capac...

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  4. A capacitor C is charged to a potential V by a battery. It is then dis...

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  5. Passage II We have two parallel plate capacitors P and Q having sam...

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  6. Two parallel plate capacitors of capacitances C and 2C are connected i...

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  7. Passage II We have two parallel plate capacitors P and Q having sam...

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  8. Passage II We have two parallel plate capacitors P and Q having sam...

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  9. Passage II We have two parallel plate capacitors P and Q having sam...

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  10. Passage II We have two parallel plate capacitors P and Q having sam...

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  11. Passage II We have two parallel plate capacitors P and Q having sam...

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  12. Passage II We have two parallel plate capacitors P and Q having sam...

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  13. Passage II We have two parallel plate capacitors P and Q having sam...

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  14. Passage II We have two parallel plate capacitors P and Q having sam...

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  15. Passage III Two small metallic spheres of radii r(1) and r(2) carry ...

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  16. Passage III Two small metallic spheres of radii r(1) and r(2) carry ...

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  17. Passage III Two small metallic spheres of radii r(1) and r(2) carry ...

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