A medium having dielectric constant $K>1$ fills the space between the plates of a parallel plate capacitor. The plates have large area, and the distance between them is $d$. The capacitor is connected to a battery of voltage $V$. as shown in Figure ($a$). Now, both the plates are moved by a distance of $\frac{d}{2}$ from their original positions, as shown in Figure ($b$).

In the process of going from the configuration depicted in Figure ($a$) to that in Figure ($b$), which of the following statement($s$) is(are) correct?

224345-q

  • [IIT 2022]
  • A

    The electric field inside the dielectric material is reduced by a factor of $2 K$.

  • B

    The capacitance is decreased by a factor of $\frac{1}{K+1}$.

  • C

    The voltage between the capacitor plates is increased by a factor of $(K+1)$.

  • D

    The work done in the process DOES NOT depend on the presence of the dielectric material.

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