JIPMER2018PhysicsCapacitance
Find the capacitance in shown figure
Options
- A2 K A ₀ (K+1) d
- B2 K A ₀ d
- C(K+1) A ₀ 2 d
- D2 K A ₀ (K^2+1 ) d
Correct answer
A. 2 K A ₀ (K+1) d
Step-by-step solution
This combination is same as the two capacitors are connected in series and distance between plates of each capacitor is d / 2 . So, C ₁= K ₀ ~A ~d / 2 and C ₂= ₀ ~A ~d / 2 Hence, C_ net = C₁ C₂ C₁+C₂ = ( 2 K ₀ ~A d ) ( 2 ₀ ~A d ) ( 2 K ₀ ~A d + 2 ₀ ~A d ) = 2 KA ₀ ( ~K + l ) d