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A condenser is connected across another charged condenser. The energy in the two condenser will be
- a)equal to the energy in the initial condenser
- b)less than that in the initial condenser
- c)more that that in the initial condenser
- d)more or less depending on the relative capacities of the two condensers
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A condenser is connected across another charged condenser. The energy ...
The energy in two connected capacitors will be less than that in the initial capacitor. This can be understood by analyzing the behavior of capacitors when they are connected in parallel.
When two capacitors are connected in parallel, they share the same potential difference across their plates. This means that the voltage across each capacitor is the same. Let's call this voltage V.
- Initial Energy:
The initial energy stored in a capacitor is given by the equation E = 1/2 * C * V^2, where C is the capacitance of the capacitor. Let's assume the initial capacitor has a capacitance of C1, so its initial energy is E1 = 1/2 * C1 * V^2.
- Connected Capacitors:
Now, when the initial capacitor is connected across another charged capacitor, they become effectively connected in parallel. Let's assume the capacitance of the second capacitor is C2. The total capacitance when capacitors are connected in parallel is given by the sum of the individual capacitances, C_total = C1 + C2.
- Shared Voltage:
Since the connected capacitors share the same potential difference V, the charge on each capacitor is given by Q = C_total * V.
- New Energy:
The energy stored in each capacitor after they are connected can be calculated using the equation E = 1/2 * C * V^2. For the initial capacitor, the energy becomes E1' = 1/2 * C1 * V^2, and for the second capacitor, it becomes E2' = 1/2 * C2 * V^2.
- Comparison:
Comparing the initial energy E1 with the energy E1' of the initial capacitor, it can be seen that E1' = E1. However, for the second capacitor, the energy E2' is less than that in the initial capacitor. This is because the capacitance of the second capacitor C2 is added to the total capacitance, which reduces the energy stored in the second capacitor.
Therefore, the combined energy in the two connected capacitors is less than the initial energy in the initial capacitor. Hence, the correct answer is option 'B', less than that in the initial capacitor.
When two capacitors are connected in parallel, they share the same potential difference across their plates. This means that the voltage across each capacitor is the same. Let's call this voltage V.
- Initial Energy:
The initial energy stored in a capacitor is given by the equation E = 1/2 * C * V^2, where C is the capacitance of the capacitor. Let's assume the initial capacitor has a capacitance of C1, so its initial energy is E1 = 1/2 * C1 * V^2.
- Connected Capacitors:
Now, when the initial capacitor is connected across another charged capacitor, they become effectively connected in parallel. Let's assume the capacitance of the second capacitor is C2. The total capacitance when capacitors are connected in parallel is given by the sum of the individual capacitances, C_total = C1 + C2.
- Shared Voltage:
Since the connected capacitors share the same potential difference V, the charge on each capacitor is given by Q = C_total * V.
- New Energy:
The energy stored in each capacitor after they are connected can be calculated using the equation E = 1/2 * C * V^2. For the initial capacitor, the energy becomes E1' = 1/2 * C1 * V^2, and for the second capacitor, it becomes E2' = 1/2 * C2 * V^2.
- Comparison:
Comparing the initial energy E1 with the energy E1' of the initial capacitor, it can be seen that E1' = E1. However, for the second capacitor, the energy E2' is less than that in the initial capacitor. This is because the capacitance of the second capacitor C2 is added to the total capacitance, which reduces the energy stored in the second capacitor.
Therefore, the combined energy in the two connected capacitors is less than the initial energy in the initial capacitor. Hence, the correct answer is option 'B', less than that in the initial capacitor.
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A condenser is connected across another charged condenser. The energy ...
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A condenser is connected across another charged condenser. The energy in the two condenser will bea)equal to the energy in the initial condenserb)less than that in the initial condenserc)more that that in the initial condenserd)more or less depending on the relative capacities of the two condensersCorrect answer is option 'B'. Can you explain this answer?
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A condenser is connected across another charged condenser. The energy in the two condenser will bea)equal to the energy in the initial condenserb)less than that in the initial condenserc)more that that in the initial condenserd)more or less depending on the relative capacities of the two condensersCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A condenser is connected across another charged condenser. The energy in the two condenser will bea)equal to the energy in the initial condenserb)less than that in the initial condenserc)more that that in the initial condenserd)more or less depending on the relative capacities of the two condensersCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A condenser is connected across another charged condenser. The energy in the two condenser will bea)equal to the energy in the initial condenserb)less than that in the initial condenserc)more that that in the initial condenserd)more or less depending on the relative capacities of the two condensersCorrect answer is option 'B'. Can you explain this answer?.
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A condenser is connected across another charged condenser. The energy in the two condenser will bea)equal to the energy in the initial condenserb)less than that in the initial condenserc)more that that in the initial condenserd)more or less depending on the relative capacities of the two condensersCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A condenser is connected across another charged condenser. The energy in the two condenser will bea)equal to the energy in the initial condenserb)less than that in the initial condenserc)more that that in the initial condenserd)more or less depending on the relative capacities of the two condensersCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A condenser is connected across another charged condenser. The energy in the two condenser will bea)equal to the energy in the initial condenserb)less than that in the initial condenserc)more that that in the initial condenserd)more or less depending on the relative capacities of the two condensersCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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