Two identical capacitors of plate dimension l×b and plate separation d have dielectric slabs filled in between the space of the plates. If the 1st capacitor has dielectric medium k and the 2nd one is filled with two mediums k1 and k2 of same length (l+2) then find the relatn between k, k1 and k2
In first case,C=€0kA/d
A=bl. A1=A1=bl/2=A/2
C1=k1€0A/2d C2=k2€0A/2d
They can be considered as two capacitors in parallel.
C=c1+c2
K€0A/d=k1€0A/2d+k2€0A/2d
2k=k1+k2