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CapacitorsMedium JEE physics MCQ

**[JEE Mains 2026]** An air-filled parallel plate capacitor of capacitance C has plate separation d. A dielectric slab (K = 2) of width d/2 is inserted between the plates. What is the new capacitance?
  1. A. 3C/4
  2. B. 4C/3
  3. C. 3C/2
  4. D. 2C/3

Solution

The capacitor becomes two capacitors in series: C₁ = ε₀A/(d/2) = 2C and C₂ = Kε₀A/(d/2) = 4C. Equivalent: 1/C_eq = 1/2C + 1/4C = 3/4C. C_eq = 4C/3.

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[JEE Mains 2026] An air-filled parallel plate capacitor of capacitance C has plate separation d. A dielectric slab (K = 2) of width d/2 is inserted between the plates. What is the new capacitance?
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