$A$ parallel plate capacitor is filled equally (half) with two dielectrics of dielectric constant $\varepsilon_1$ and $\varepsilon_2$,as shown in the figures. The distance between the plates is $d$ and the area of each plate is $A$. If the capacitance in the first configuration and second configuration are $C_1$ and $C_2$ respectively,then $\frac{C_1}{C_2}$ is

  • A
    $\frac{\varepsilon_1 \varepsilon_2^2}{\left(\varepsilon_1+\varepsilon_2\right)^2}$
  • B
    $\frac{4 \varepsilon_1 \varepsilon_2}{\left(\varepsilon_1+\varepsilon_2\right)^2}$
  • C
    $\frac{\varepsilon_1 \varepsilon_2}{\varepsilon_1+\varepsilon_2}$
  • D
    $\frac{\varepsilon_0\left(\varepsilon_1+\varepsilon_2\right)}{2}$

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