A parallel plate capacitor with air as a dielectric has capacitance C. A slab of dielectric constant K, having same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be:
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Updated on : 2022-09-05
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Correct option is A)
The two condensers with K and with air are in parallel. With air, C1=dϵ0(43A)=4d3ϵ0A With medium, C2=dϵ0K(4A)=4dϵ0AK ∴C′=C1+C2 or C′=4d3ϵ0A+4dϵ0AK=dϵ0A[43+4K] or C′=4C(K+3)[∵C=dAϵ0].
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