A parallel plate capacitor is of area 6 `cm^(2)` and a separation 3 mm. The gap is filled with three dielectric materials of equal thickness (see figure) with dielectric constant `K_(1)=10`, `K_(2)=12 and K_(3) = 14`. The dielectric constant of a material which when fully inserted in above capacitor, gives same capacitance would be :

Options

A. 14
B. 36
C. 12
D. 4

Answer

C

Explanation

`C=10xx((A)/(3)epsi_(0))/(d)+12xx(A)/(3)(epsi_(0))/(d)+14xx(A)/(3)(epsi_(0))/(d)=36xx(A)/(3)(epsi_(0))/(d)=(12Aepsi_(0))/(d)`.