Question

space between plates of a parallel plate capacitor is filled with dielectric whose dielectric constant varies with distance as per relation:
K(x) = K0 + Bx ( B = constant )
the capacitance C of this capacitor would be related to its vacuum capacitance C0 as per the relation ??

Answer 1

Well, The Relation of air filled Capacitor to a dielectric capacitor is Cd= K*Co

So, Here it will be Cd={Ko+B(x)} Co.

So at a Particular Distance The value will change if you want to be more precise just differentiate the whole term by dx and you ll get the Capacitor Gradient