1.

A parallel plate capacitor formed by square plates of side length / separated by a distance \( d(d<<1) \) is filled with a material whose dielectric constant varies linearly from \( K \) to \( 2 K \) along \( x \). The capacitance of the capacitor with the dielectric medium will be

Answer»

For a parallel plate capacitor 

C = \(\cfrac{kɛ_oa}d\)

where K = dielectric constant

ɛo = permissivity of free space

a = area of plate

d = distance between the plate

\(\propto\) K

\(\cfrac{C_1}{C_2}\) = \(\cfrac{k}{2k}\)

= then C1 \(\cfrac{C_2}2\)



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