A parallel plate condenser with plate area $A$ and separation $d$ is filled with two dielectric materials as shown in the figure. The dielectric constants are $K_1$ and $K_2$ respectively. The capacitance will be

827-649

  • A

    $\frac{{{\varepsilon _0}A}}{d}\left( {{K_1} + {K_2}} \right)$

  • B

    $\frac{{{\varepsilon _0}A}}{d}\left( {\frac{{{K_1} + {K_2}}}{{{K_1}{K_2}}}} \right)$

  • C

    $\frac{{2{\varepsilon _0}A}}{d}\left( {\frac{{{K_1} {K_2}}}{{{K_1}+{K_2}}}} \right)$

  • D

    $\frac{{2{\varepsilon _0}A}}{d}\left( {\frac{{{K_1} + {K_2}}}{{{K_1}{K_2}}}} \right)$

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