NEET
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- NEET
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- Capacitance
NEET · Physics · Capacitance
Given below are two statements: one is labelled as Assertion (A)...
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): When a capacitor is connected in parallel with a series combination of two identical capacitors ( and , where ), the charge stored in is half the charge stored in .
Reason (R): In a parallel circuit, the branch with the lower equivalent capacitance draws proportionally less charge from the source because for a constant potential difference.
In the light of the above statements, choose the most appropriate answer from the options given below:
Assertion (A): When a capacitor is connected in parallel with a series combination of two identical capacitors ( and , where ), the charge stored in is half the charge stored in .
Reason (R): In a parallel circuit, the branch with the lower equivalent capacitance draws proportionally less charge from the source because for a constant potential difference.
In the light of the above statements, choose the most appropriate answer from the options given below:
Options
- ABoth Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation of Assertion (A)
- BBoth Assertion (A) and Reason (R) are correct but Reason (R) is not the correct explanation of Assertion (A)
- CAssertion (A) is correct but Reason (R) is not correct
- DAssertion (A) is not correct but Reason (R) is correct
Correct answer
D. Assertion (A) is not correct but Reason (R) is correct
Step-by-step solution
Let the capacitance of each capacitor be . The equivalent capacitance of the series branch containing and is .
Since is in parallel with this series branch, the potential difference across both branches is the same.
The charge stored in is .
The charge drawn by the series branch is .
In a series combination, the charge on each capacitor is equal to the total charge of that branch. Therefore, the charge on is .
Comparing the charges, . The charge stored in is twice the charge stored in , not half. Thus, Assertion (A) is false.
Reason (R) is a correct statement of principle. For branches in parallel, the potential difference is constant, so the charge is directly proportional to the equivalent capacitance of the branch. The branch with lower capacitance draws less charge.
Answer: Assertion (A) is not correct but Reason (R) is correct
Since is in parallel with this series branch, the potential difference across both branches is the same.
The charge stored in is .
The charge drawn by the series branch is .
In a series combination, the charge on each capacitor is equal to the total charge of that branch. Therefore, the charge on is .
Comparing the charges, . The charge stored in is twice the charge stored in , not half. Thus, Assertion (A) is false.
Reason (R) is a correct statement of principle. For branches in parallel, the potential difference is constant, so the charge is directly proportional to the equivalent capacitance of the branch. The branch with lower capacitance draws less charge.
Answer: Assertion (A) is not correct but Reason (R) is correct