question_answer

Two parallel plate of area A are separated by two different dielectrics as shown in figure. The net capacitance is-

A) \[\frac{4{{\varepsilon }_{0}}A}{3d}\]

B)               \[\frac{3{{\varepsilon }_{0}}A}{4d}\]

C) \[\frac{2{{\varepsilon }_{0}}A}{d}\]                  

D) \[\frac{{{\varepsilon }_{0}}A}{d}\]

Correct Answer: A

Solution :

\[{{C}_{0}}\,=\,\frac{{{\in }_{0}}A}{d}\] \[{{C}_{1}}={{K}_{1}}\times 2{{C}_{0}}\text{ }\,\,2{{C}_{0}}{{K}_{2}}={{C}_{2}}\]