JEE Main2013PhysicsCapacitanceActual
A parallel plate capacitor having a separation between the plates d , plate area A and material with dielectric constant K has capacitance C ₀ . Now one-third of the material is replaced by another material with dielectric constant 2 ~K , so that effectively there are two capacitors one with area 1 3 ~A , dielectric constant 2 ~K and another with area 2 3 ~A and dielectric constant K . If the capacitance of this new
Options
- A1
- B4 3
- C2 3
- D1 3
Correct answer
B. 4 3
Step-by-step solution
C ₀= k ₀ ~A ~d C = k ₀ 2 3 ~d + 2 k ₀ ~A 3 ~d = 4 3 k ₀ ~A ~d C C ₀ = 4 3 k ₀ ~A ~d k ₀ ~A ~d = 4 3