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NEET · Physics · STD 12 - 2. Electric potential and capacitance

The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate is halved. If \(C\) is its initial capacitance, its final capacitance is equal to

  1. A \(2 C\)
  2. B \(C / 2\)
  3. C \(4 C\)
  4. D \(C / 4\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(C / 4\)

Step-by-step Solution

Detailed explanation

\(C=\frac{\varepsilon_0 A}{d}\) Now, \(C^{\prime}=\frac{\varepsilon_0( A / 2)}{2 d }=\frac{\varepsilon_0 A }{4 d }=\frac{ C }{4}\)
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