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Physics · Electrostatic Potential

हिन्दी

Given below are two statements: Statement I: The total net charge on a parallel plate capacitor bearing charges \( +Q \) and \( -Q \) on its two plates is \( 2Q \). Statement II: The capacitance of a parallel plate capacitor is doubled if the separation between the plates is halved while maintaining the plate area constant. In the light of the above statements, choose the most appropriate answer from the options given below:

  1. Both Statement I and Statement II are correct.
  2. Both Statement I and Statement II are incorrect.
  3. Statement I is correct but Statement II is incorrect.
  4. Statement I is incorrect but Statement II is correct.

Correct answer · Option 4

Statement I is incorrect but Statement II is correct.

Explanation

The total net charge on a capacitor is \( (+Q) + (-Q) = 0 \) (Statement I is false). Since \( C = \frac{\varepsilon_0 A}{d} \), halving \( d \) doubles \( C \) (Statement II is true).
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