A slab of material of dielectric constant K has the same area as the plates of a parallel plate capacitor but has a thickness
, where d is the separation of the plates. The ratio of the capacitance C (In the presence of the dielectric) to the capacitance C 0 (in the absence of the dielectric) is:
Text Solution
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The capacitance of a parallel plate capacitor in the absence of the dielectric is,
… (i)
where A is the area of each plate and d is the distance between them.
The capacitance of a parallel plate capacitor in the presence of dielectric slab of thickness t and dielectric constant K, is


Dividing eqn. (ii) by eqn. (i), we get

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