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

Options

A. `(4epsilon_0A)/(3d)`
B. `(3epsilon_0A)/(4d)`
C. `(2epsilon_0A)/(d)`
D. `(epsilon_0A)/(d)`

Answer

A

Explanation

`1/C=1/C_1+1/C_2=(d//2)/(Aepsilon_0xx1)+(d//2)/(Aepsilon_0xx2)`
`implies1/C =(2d+d)/(4A epsilon_0)=(3d)/(4A epsilon_0)`
`C=4/3 (A epsilon_0)/d`