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Assertion: If three capacitors of capacitances \(C_1 < C_2 < C_3\) are connected in parallel, then their equivalent capacitance \(C_p\) is greater than the equivalent capacitance \(C_s\) in series. Reason: \(\frac{1}{C_p} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}\).
- If both assertion and reason are true and the reason is the correct explanation of the assertion.
- If both assertion and reason are true but reason is not the correct explanation of the assertion.
- If assertion is true but reason is false.
- If the assertion and reason both are false.
Correct answer: If assertion is true but reason is false.
Solution
The assertion is true because in parallel the equivalent capacitance is the sum \(C_1 + C_2 + C_3\), which is always greater than the series equivalent. The reason is false because the reciprocal-sum formula applies to series, not parallel.
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