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ExamsNEETPhysics

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: \(\frac{1}{C_p} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}\).

  1. If both assertion and reason are true and the reason is the correct explanation of the assertion.
  2. If both assertion and reason are true but reason is not the correct explanation of the assertion.
  3. If assertion is true but reason is false.
  4. 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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