question_answer

The gap between the plates of a parallel plate capacitor of area A and distance between plates d, is filled with a dielectric whose permittivity varies linearly from \[{{\in }_{1}}\] at one plate to \[{{\in }_{2}}\]at the other. The capacitance of capacitor is:     JEE Main Online Paper (Held On 19 April 2016)

A) \[{{\in }_{0}}\left( {{\in }_{1}}+{{\in }_{2}} \right)A/d\]   

B) \[{{\in }_{0}}\left( {{\in }_{2}}+{{\in }_{1}} \right)A/2d\]

C) \[{{\in }_{0}}A/\left[ d/n\left( {{\in }_{2}}+{{\in }_{1}} \right) \right]\]

D) \[{{\in }_{0}}A/\left( {{\in }_{2}}-{{\in }_{1}} \right)A/\left[ d/n\left( {{\in }_{2}}/{{\in }_{1}} \right) \right]\]