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A capacitor is charged by a battery. The battery isremoved and another identical uncharged capacitoris connected in parallel. The total electrostaticenergy of resulting system :-
  • a)
    Decreases by a factor of 2
  • b)
    Remains the same
  • c)
    Increases by a factor of 2
  • d)
    Increases by a factor of 4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A capacitor is charged by a battery. The battery isremoved and another...
Decreases by a factor of 2

Charge on capacitor
q = CV
when it is connected with another uncharged capacitor.


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Most Upvoted Answer
A capacitor is charged by a battery. The battery isremoved and another...
Explanation:
When a capacitor is charged by a battery, it stores energy in the form of electric field between its plates. The energy stored in the capacitor is given by:

E = 1/2 CV²

Where E is the energy stored, C is the capacitance of the capacitor and V is the voltage across it.

When another identical uncharged capacitor is connected in parallel, the total capacitance of the system increases but the voltage across each capacitor remains the same. The total energy stored in the system is given by:

E' = 1/2 C'V²

Where C' is the total capacitance of the system, which is equal to 2C in this case, and V is the voltage across each capacitor.

Thus, we can see that the total energy stored in the system has increased by a factor of 2. However, the question asks for the change in electrostatic energy, which is the energy stored in the electric field between the plates of the capacitor. Since the voltage across each capacitor remains the same, the electrostatic energy stored in each capacitor remains the same. Therefore, the total electrostatic energy of the system decreases by a factor of 2.

Thus, the correct answer is option 'A'.
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A capacitor is charged by a battery. The battery isremoved and another identical uncharged capacitoris connected in parallel. The total electrostaticenergy of resulting system :-a)Decreases by a factor of 2b)Remains the samec)Increases by a factor of 2d)Increases by a factor of 4Correct answer is option 'A'. Can you explain this answer?
Question Description
A capacitor is charged by a battery. The battery isremoved and another identical uncharged capacitoris connected in parallel. The total electrostaticenergy of resulting system :-a)Decreases by a factor of 2b)Remains the samec)Increases by a factor of 2d)Increases by a factor of 4Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A capacitor is charged by a battery. The battery isremoved and another identical uncharged capacitoris connected in parallel. The total electrostaticenergy of resulting system :-a)Decreases by a factor of 2b)Remains the samec)Increases by a factor of 2d)Increases by a factor of 4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A capacitor is charged by a battery. The battery isremoved and another identical uncharged capacitoris connected in parallel. The total electrostaticenergy of resulting system :-a)Decreases by a factor of 2b)Remains the samec)Increases by a factor of 2d)Increases by a factor of 4Correct answer is option 'A'. Can you explain this answer?.
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