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Two metal plate form a parallel plate capacitor. The distance between the plates is d. A metal sheet of thickness d/2 and of the same area is introduced between the plates. What is the ratio of the capacitance in the two cases ? 

(A) 4 : 1 

(B) 3 : 1 

(C) 2 : 1 

(D) 5 : 1

1 Answer

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Best answer

The correct option (C) 2 : 1

Explanation:

initially capacitance = (A∈0/d) = C

when sheet of thickness t = (d/2) is introduced then capacitance be C'.

and C' = [(A∈0)/(d – t)]

∴ (C/C') = [(d – t)/d] = [{d – (d/2)}/d] ------ thickness is (d/2)

∴ (C/C') = (1/2)

∴ ratio of capacitance is 2 : 1

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