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A slab of material of dielectric constant K has the same area as that of the plates of a parallel plate capacitor but has the thickness d/2, where d is the separation between the plates. Find out the expression for its capacitance when the slab is inserted between the plates of the capacitor. 


Capacitance having a dielectric of thickness ‘t’ is given by, 

                                 

When the thickness of the plates is reduced to half, t = d/2 then,

 Capacitance becomes, 

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