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Physics · Electrostatic Potential

हिन्दी

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The equivalent capacitance of a parallel combination of capacitors is always less than the capacitance of the smallest individual capacitor in the combination. Reason (R): In a parallel combination of capacitors, the total charge is distributed among the capacitors in proportion to their individual capacitances. In the light of the above statements, choose the correct answer from the options given below:

  1. Both (A) and (R) are true and (R) is the correct explanation of (A).
  2. Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
  3. is true but (R) is false.
  4. is false but (R) is true.

Correct answer · Option 4

is false but (R) is true.

Explanation

In a parallel combination, \( C_{\text{eq}} = \sum C_i \), which is strictly greater than the largest individual capacitance, making Assertion (A) false. Reason (R) is correct since \( Q_i = C_i V \propto C_i \).
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