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A parallel plate condenser with oil between the plates (dielectric constant of oil K = 2) has a capacitance C. If the oil is removed, then capacitance of the capacitor becomes

  1. √2 C
  2. 2C
  3. C/√2
  4. C/2

Correct answer: C/2

Solution

The capacitance of a parallel plate capacitor with a dielectric is given by C = Kε₀A/d. When the dielectric is removed (K = 1), the capacitance becomes C' = ε₀A/d. Thus, C' = C/K = C/2.

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