A parallel plate capacitor is made of two square plates of side $a$, separated by a distance $d\,(d  < < a)$. The lower triangular portion is filled with a dielectric of dielectric constant $K$, as shown in the figure. Capacitance of this capacitor is

820-564

  • [JEE MAIN 2019]
  • A

    $\frac{{K{\varepsilon _0}{a^2}}}{{d\left( {K - 1} \right)}}\,\ln \,K$

  • B

    $\frac{{K{\varepsilon _0}{a^2}}}{{2d\left( {K + 1} \right)}}$

  • C

    $\frac{{K{\varepsilon _0}{a^2}}}{d}\,\ln \,K$

  • D

    $\frac{1}{2}\frac{{K{\varepsilon _0}{a^2}}}{d}$

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