$A$ parallel plate capacitor with air between the plates has a capacitance of $9 \, pF$. The separation between its plates is $d$. The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant $K_1 = 3$ and thickness $d/3$,while the other one has dielectric constant $K_2 = 6$ and thickness $2d/3$. The capacitance of the capacitor is now.........$pF$.

  • A
    $1.8$
  • B
    $45$
  • C
    $40.5$
  • D
    $20.25$

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