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When two identical capacitors are charged individually to different potentials and connected parallel to each other, after disconnecting them from the source
  • a)
    net charge on connected plates is less than the sum of initial individual charges
  • b)
    net charge on connected plates equals the sum of initial charges
  • c)
    the net potential difference across them is different from the sum of the individual initial potential differences
  • d)
    the net energy stored in the two capacitors is less than the sum of the initial individual energies
Correct answer is option 'B,C,D'. Can you explain this answer?
Most Upvoted Answer
When two identical capacitors are charged individually to different po...
When connected parallel to each other...then common potential...

Vc = (CV1 + CV2 ) / (C + C) = (V1 + V2) / 2

And, when charge redistribute...there will be some heating occur...

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When two identical capacitors are charged individually to different po...
Explanation:

When two identical capacitors are charged individually to different potentials and then connected parallel to each other, several things happen.

Net charge on connected plates:
- When the capacitors are initially charged individually, they accumulate charge on their plates according to the potential difference across them. Let's assume the charges on the plates of the capacitors are Q1 and Q2.
- When these capacitors are connected in parallel, the charges on their plates redistribute themselves to reach a common potential.
- According to the principle of conservation of charge, the net charge on the connected plates remains the same as the sum of the initial charges, i.e., Q1 + Q2.

Net potential difference across the capacitors:
- The potential difference across a capacitor is given by the ratio of charge to capacitance, V = Q/C.
- Since the capacitors are identical, they have the same capacitance value. Let's assume it is C.
- The potential difference across each capacitor is initially different, V1 and V2, corresponding to the charges Q1 and Q2 respectively.
- When these capacitors are connected in parallel, the potential difference across them becomes the same, equal to the potential difference of the common potential. Thus, the net potential difference across them is equal to the sum of the initial potential differences, i.e., V1 + V2.

Net energy stored in the capacitors:
- The energy stored in a capacitor is given by the formula, E = (1/2)QV = (1/2)CV^2.
- Initially, each capacitor stores energy according to its individual potential difference. Let's assume the initial energies stored in the capacitors are E1 and E2.
- When these capacitors are connected in parallel, the energies stored in them get redistributed to reach a common potential. The total energy stored in the system is the sum of the energies stored in the individual capacitors, i.e., E1 + E2.

Therefore, the correct options are B, C, and D:
- The net charge on the connected plates equals the sum of the initial charges.
- The net potential difference across the capacitors is equal to the sum of the individual initial potential differences.
- The net energy stored in the two capacitors is equal to the sum of the initial individual energies.
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When two identical capacitors are charged individually to different potentials and connected parallel to each other, after disconnecting them from the sourcea)net charge on connected plates is less than the sum of initial individual chargesb)net charge on connected plates equals the sum of initial chargesc)the net potential difference across them is different from the sum of the individual initial potential differencesd)the net energy stored in the two capacitors is less than the sum of the initial individual energiesCorrect answer is option 'B,C,D'. Can you explain this answer?
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When two identical capacitors are charged individually to different potentials and connected parallel to each other, after disconnecting them from the sourcea)net charge on connected plates is less than the sum of initial individual chargesb)net charge on connected plates equals the sum of initial chargesc)the net potential difference across them is different from the sum of the individual initial potential differencesd)the net energy stored in the two capacitors is less than the sum of the initial individual energiesCorrect answer is option 'B,C,D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about When two identical capacitors are charged individually to different potentials and connected parallel to each other, after disconnecting them from the sourcea)net charge on connected plates is less than the sum of initial individual chargesb)net charge on connected plates equals the sum of initial chargesc)the net potential difference across them is different from the sum of the individual initial potential differencesd)the net energy stored in the two capacitors is less than the sum of the initial individual energiesCorrect answer is option 'B,C,D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When two identical capacitors are charged individually to different potentials and connected parallel to each other, after disconnecting them from the sourcea)net charge on connected plates is less than the sum of initial individual chargesb)net charge on connected plates equals the sum of initial chargesc)the net potential difference across them is different from the sum of the individual initial potential differencesd)the net energy stored in the two capacitors is less than the sum of the initial individual energiesCorrect answer is option 'B,C,D'. Can you explain this answer?.
Solutions for When two identical capacitors are charged individually to different potentials and connected parallel to each other, after disconnecting them from the sourcea)net charge on connected plates is less than the sum of initial individual chargesb)net charge on connected plates equals the sum of initial chargesc)the net potential difference across them is different from the sum of the individual initial potential differencesd)the net energy stored in the two capacitors is less than the sum of the initial individual energiesCorrect answer is option 'B,C,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
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