An uncharged parallel-plate capacitor filled with a material of dielec

1.	An uncharged parallel-plate capacitor filled with a material of dielectric constant k is connected to a parallel-plate air capacitor of identical geometry charged to a potential V. At equilibrium, common potential difference across them is V’. The dielectric constant k is equal to V’-V(A) \(\cfrac{V'-V}{V'}\)(B) \(\cfrac{V'-V}{V'+V}\)(C) \(\cfrac{V-V'}{V'}\)(D) \(\cfrac{V+V'}{V-V'}\)
Answer» Correct option is (C) \(\cfrac{V-V'}{V'}\) [Hint : Common potential, V' = \(\cfrac{total\,charge}{total\,capacitance}\) = \(\cfrac{CV}{KC+C}\)]

An uncharged parallel-plate capacitor filled with a material of dielectric constant k is connected to a parallel-plate air capacitor of identical geometry charged to a potential V. At equilibrium, common potential difference across them is V’. The dielectric constant k is equal to V’-V(A) \(\cfrac{V'-V}{V'}\)(B) \(\cfrac{V'-V}{V'+V}\)(C) \(\cfrac{V-V'}{V'}\)(D) \(\cfrac{V+V'}{V-V'}\)

Answer»

Correct option is (C) \(\cfrac{V-V'}{V'}\)

[Hint : Common potential, V' = \(\cfrac{total\,charge}{total\,capacitance}\) = \(\cfrac{CV}{KC+C}\)]

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