If a dielectric slab of thickness t and area A is inserted in between the plates of a parallel plate capacitor of plate area A and distance between the plates `d(d gt t)` then find out capacitance of system. What do you predict about the dependence of capacitance on location of slab?

Explanation

`C=Q/V=(sigmaA)/(V)`
`V=(sigmat_(1))/(epsi_(0))+(sigmat)/(Kepsi_(0))+(sigmat_(2))/(epsi_(0)) (therefore t_(1)+t_(2)=d-t)`
`=(sigma)/(epsi_(0)) [t_(1)+t_(2)+t//k]`
`rArr V=(sigma)/(epsi_(0))[d-t+t/k]=Q/C=(sigmaA)/(C)`
`rArr C=(epsi_(0)A)/((d-t+t//K)`