Capacitors — Medium 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?
- A. 3C/4
- B. 4C/3
- C. 3C/2
- 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.
