The distance between two plates of a capacitor is d and its capacitance is C1, when air is the medium between the plates. If a metal sheet of thickness 2 d3 and of the same area as plate is introduced between the plates, the capacitance of the capacitor becomes C2. . The ratio C2C1 is

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The distance between two plates of a capacitor is $d$ and its capacitance is $C_{1}$ , when air is the medium between the plates. If a metal sheet of thickness $\frac{2 d}{3}$ and of the same area as plate is introduced between the plates, the capacitance of the capacitor becomes $C_{2}$ . . The ratio $\frac{C_{2}}{C_{1}}$ is

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3:1

1:1

4:1

2:1

answer is D.

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$\begin{array}{l} C_{2} = \frac{ϵ_{0} A}{\frac{d}{3}} = \frac{3 ϵ_{0} A}{d} \\ ∴ \frac{C_{2}}{C_{1}} = 3 \end{array}$

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