question_answer

Two dielectric slabs of constant \[{{K}_{1}}\] and \[{{K}_{2}}\] have been filled in between the plates of a capacitor as shown below. What will be the capacitance of the capacitor                                                        [MNR 1985; MP PET 1999; DCE 2002]         

A)                                           \[\frac{2{{\varepsilon }_{0}}A}{2}({{K}_{1}}+{{K}_{2}})\]

B)                    \[\frac{2{{\varepsilon }_{0}}A}{2}\left( \frac{{{K}_{1}}+{{K}_{2}}}{{{K}_{1}}\times {{K}_{2}}} \right)\]

C)                    \[\frac{2{{\varepsilon }_{0}}A}{2}\left( \frac{{{K}_{1}}\times {{K}_{2}}}{{{K}_{1}}+{{K}_{2}}} \right)\]

D)                    \[\frac{2{{\varepsilon }_{0}}A}{d}\left( \frac{{{K}_{1}}\times {{K}_{2}}}{{{K}_{1}}+{{K}_{2}}} \right)\]