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When two capacitors charged to different...

When two capacitors charged to different potentials are connected by a conducting wire, what is not true ?

A

charge lost by one is equal to charge gained by the other

B

potentail lost by one is equal to potentail gained by the other

C

some energy is lost

D

both the capacitor acquire a common potential

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the behavior of two capacitors connected by a conducting wire when they are charged to different potentials. Let's break down the options provided in the question and determine which statement is not true. ### Step-by-Step Solution: 1. **Understanding Capacitors**: - Capacitors store electrical energy in the form of electric charge. When charged to different potentials, they have different amounts of stored energy. 2. **Connecting Capacitors**: - When two capacitors with different potentials are connected by a conducting wire, charge will flow between them until they reach a common potential. 3. **Analyzing the Options**: - **Option 1**: "Charge lost by one is equal to charge gained by the other." - This statement is true. According to the law of conservation of charge, the total charge in an isolated system remains constant. Therefore, the charge lost by one capacitor will be equal to the charge gained by the other. - **Option 2**: "Potential lost by one is equal to potential gained by the other." - This statement is **not true**. The potential difference across the capacitors will equalize, but the amount of potential lost by one capacitor does not necessarily equal the potential gained by the other. The final potential will be the average of the two initial potentials, depending on their capacitances. - **Option 3**: "Some energy is lost." - This statement is true. When charge flows between the capacitors, energy is dissipated, typically as heat due to resistance in the wire. - **Option 4**: "Both capacitors require common potential." - This statement is true. When connected, the capacitors will share charge until they reach the same potential. 4. **Conclusion**: - The statement that is not true is **Option 2**: "Potential lost by one is equal to potential gained by the other." ### Final Answer: The option that is not true is: **"Potential lost by one is equal to potential gained by the other."**
To solve the question, we need to analyze the behavior of two capacitors connected by a conducting wire when they are charged to different potentials. Let's break down the options provided in the question and determine which statement is not true. ### Step-by-Step Solution: 1. **Understanding Capacitors**: - Capacitors store electrical energy in the form of electric charge. When charged to different potentials, they have different amounts of stored energy. 2. **Connecting Capacitors**: ...
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