1)

 Three parallel  plate air capacitors are connected in parallel. Each capacitor  has plate area A3  and the separation between the plates is d, 2d and 3d respectively. The equivalent  capacity  of combination  is  (ϵ0= absolute permitivity of free space)


A) 7ϵ0A18d

B) 11ϵ0A18d

C) 13ϵ0A18d

D) 17ϵ0A18d

Answer:

Option B

Explanation:

 According to question, capacitance of parallel plate capacitor  is given by C=ϵ0Ad

 For first capacitor  , C1=ϵ0A3d

For second capacitor = C2=ϵ0A6d

For third capacitor , C3=ϵ0A9d

 Again they are arranged in parallel 

combination , so equivalent capacitor is given by

    Ceq=C1+C2+C3

 =ϵ0Ad(13+16+19)=ϵ0Ad×1118=11ϵ0A18d