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Half of the space between the plates of ...

Half of the space between the plates of a parallel-plate capacitor is filled with a dielectric material of dielectric constant K. The remaining halt contains air as shown in the figure. The capacitor is now given a charge Q. Then

A

electric field in the dielectric filled region is higher than that in the air-filled region

B

on the two halves of the bottom plate the charge densities are unequal

C

charge on the half of the top plate above the air-filled part is `Q/(K + 1)`

D

capacitance of the capacitor shown above is `(1 +K)(C_0)/(2)`, where is the capacitance of the same capacitor with the dielectric removed.

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Knowledge Check

  • The space between the plates of a parallel plate air capacitor is filled with a material of dielectric constant k, keeping the plates connected to a certain external battery. The energy stored in this capacitor will change by a factor of

    A
    `k^2`
    B
    `k`
    C
    `(1)/(k)`
    D
    `(1)/(k^2)`

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