Given, area of dielectrics with dielectric constant
K1 and
K2,
A1=A2= Thickness of dielectrics with dielectric constant
K1 and
K2,
d1=d2= Other half of the capacitor is still filled with air, so distance betweenplates in other half of capacitor will be d but the area of plates for airsection will be
.
Calculating the capacitance of section of capacitor filled with air.
Ca=ε0()d= Now, the capacitance of section of capacitor filled with dielectricconstant
K1 can be calculated as
C1=== Similarly, the capacitance of section of capacitor filled withdielectric constant
K2 can be calculated as
C2=== Now, the dielectric sections are in series with each other, so equivalent capacitance of combination can be calculated as
=+=+ ⇒Ceq=[] Now,
Ceq is in parallel with the section of capacitor filled with air. Total capacitance of combination can be calculated as
CT=Ca+Ceq=+[] ⇒CT=[+]