Two identical parallel plate capacitors of capacitance $C$ each are connected in series with a battery of emf, $E$ as shown below. If one of the capacitors is now filled with a dielectric of dielectric constant $k$, then the amount of charge which will flow through the battery is (neglect internal resistance of the battery)

210495-q

  • [KVPY 2014]
  • A

    $\frac{k+1}{2(k-1)} \cdot C E$

  • B

    $\frac{k-1}{2(k+1)} \cdot C E$

  • C

    $\frac{k-2}{k+2} \cdot C E$

  • D

    $\frac{k+2}{k-2} \cdot C E$

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  • [JEE MAIN 2023]