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Answer the following.

A dielectric slab of dielectric constant and thickness is introduced between the two plates of a…

Physics20252 marksShort answer
A dielectric slab of dielectric constant $K$ and thickness $t$ is introduced between the two plates of a capacitor of plate-separation $d$ ($>t$) and common area $A$. The capacitance of this system is given as: $C = \frac{\varepsilon_0 A}{(d - t) + \frac{t}{K}}$ How does the capacitance $C$ modify in each of the following cases?
(a)[1.0]
The dielectric slab covers half the distance of separation between the two plates.
(b)[1.0]
The whole space between the plates is filled with the dielectric.

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Electrostatic Potential, Potential Energy and Capacitance

From ISC 2025 Specimen Physics Paper 1, question 2(i).