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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)
The dielectric slab covers half the distance of separation between the two plates.
(b)
The whole space between the plates is filled with the dielectric.

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Electrostatic Potential, Potential Energy and Capacitance

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