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Assertion: Charge on all the condensers ...

Assertion: Charge on all the condensers connected is series in the same.
Reason : Capacitance of capacitor is directly proportional to charge on it.

A

If both assertion and reason are ture and reason is the correct explanation of assertion.

B

If both assertin and reason are ture but reason is not the correct explanation of assertion .

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the charge on all the condensers (capacitors) connected in series is the same. - In a series connection of capacitors, the same charge flows through each capacitor. This is due to the fact that there is only one path for the charge to flow, thus the charge on each capacitor must be equal. 2. **Analyzing the Reason**: - The reason states that the capacitance of a capacitor is directly proportional to the charge on it. - The relationship between charge (Q), capacitance (C), and voltage (V) is given by the formula: \[ Q = C \cdot V \] - From this equation, we can see that capacitance (C) is not directly proportional to charge (Q). Instead, capacitance is a property of the capacitor that depends on its physical characteristics (area of the plates, distance between them, and the dielectric material) and is independent of the charge. 3. **Conclusion**: - The assertion is true: the charge on all capacitors in series is indeed the same. - The reason is false: capacitance is not directly proportional to charge. It is a fixed property of the capacitor based on its physical configuration. - Therefore, the reason does not correctly explain the assertion. ### Final Answer: - The assertion is true, but the reason is false.
To solve the question, we need to analyze the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that the charge on all the condensers (capacitors) connected in series is the same. - In a series connection of capacitors, the same charge flows through each capacitor. This is due to the fact that there is only one path for the charge to flow, thus the charge on each capacitor must be equal. ...
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