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Assertion : In series combination, charg...

Assertion : In series combination, charges on two capacitors are always equal.
Reason : If charges are same, the total potential difference applied across two capacitors will be distributed in inverse ratio of capacities.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

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The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states: "In series combination, charges on two capacitors are always equal." - When capacitors are connected in series, the same amount of charge (Q) flows through each capacitor. This is because the charge that leaves one capacitor must enter the next, leading to the conclusion that the charge on each capacitor in a series configuration is the same. ### Step 2: Understand the Reason The reason states: "If charges are the same, the total potential difference applied across two capacitors will be distributed in inverse ratio of capacities." - The potential difference (V) across a capacitor is given by the formula \( V = \frac{Q}{C} \), where Q is the charge and C is the capacitance. - In a series combination, the total potential difference (V_total) across the capacitors is the sum of the individual potential differences across each capacitor: \[ V_{total} = V_1 + V_2 = \frac{Q}{C_1} + \frac{Q}{C_2} \] - Since the charge Q is the same on both capacitors, the potential difference across each capacitor will indeed be inversely proportional to their capacitances. This means that if one capacitor has a larger capacitance, it will have a smaller voltage across it compared to a capacitor with a smaller capacitance. ### Step 3: Conclusion Both the assertion and the reason are true: - The assertion is true because charges on capacitors in series are equal. - The reason is also true because the potential difference is distributed in inverse ratio of the capacitances. However, the reason does not directly explain the assertion, as it focuses on the relationship between charge and potential difference rather than directly addressing why the charges are equal in series. ### Final Answer Both the assertion and reason are true, but the reason is not the correct explanation of the assertion. Therefore, the correct option is: **Option B: Both assertion and reason are true, but reason is not the correct explanation of assertion.**

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states: "In series combination, charges on two capacitors are always equal." - When capacitors are connected in series, the same amount of charge (Q) flows through each capacitor. This is because the charge that leaves one capacitor must enter the next, leading to the conclusion that the charge on each capacitor in a series configuration is the same. ### Step 2: Understand the Reason ...
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DC PANDEY ENGLISH-CAPACITORS-Exercise
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  13. In the circuit shown in figure, the ratio of charge on 5muF and 2muF c...

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  14. In Millikan's oil drop experiment an oil drop of radius r and change Q...

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  16. When the switch is closed, the initial current through the 1Omega resi...

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  17. A capacitor of capacitance C carrying charge Q is connected to a sourc...

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  18. In the circuit the potential difference across the capacitor is 10 V. ...

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