The space between the plates of a parallel-plate capacitor is filled consecutively with two dielectric layers 1 and 2 having the thicknesses
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Capacitance of the vacuum capacitor C
o
=
d
Aϵ
o
where A is the area of the plates of capacitor.
Dielectric constant of the medium at a distance x from first plate is given by K(x)=K
o
+λx
Capacitance of capacitor of thickness dx, dC=
dx
K(x)Aϵ
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