The area of the plates of a parallel plate capacitor is A and the gap between them is d. The gap is filled with a non homogeneneous dielectric whose dielectric constant varies with the distance ‘y’ from one plate as: `K = lambdasec(pi y/2d)`, where`lambda`is a dimensionless constant. The capacitance of this capacitor is

Answer

`pi in _0 lambda A //2 2d`