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MHT CET 2023 (13 May, Shift 2) · Dielectrics

Dielectrics question from MHT CET 2023 (13 May, Shift 2)

Q49MHT CET 2023 · 13 MAY · SHIFT 2Easy

Dielectrics

In a parallel plate capacitor with air between the plates, the distance dd between the plates is changed and the space is filled with dielectric constant 8. The capacity of the capacitor is increased 16 times, the distance between the plates is

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Answer: (c)

  1. C=ε0AdC = \frac{\varepsilon_0 A}{d}, C′=8ε0Ad′C' = \frac{8\varepsilon_0 A}{d'}
  2. C′C=8dd′=16\frac{C'}{C} = \frac{8d}{d'} = 16
  3. d′=d2d' = \frac{d}{2}
  4. So the answer is (c) d/2.
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