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A paralle plate air capacitor has capaci...

A paralle plate air capacitor has capacitance C. Now half of the space is fillel with a dielectric material with dielectric constant K as shown in figure . The new capacitance is C . Then

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Answer (1)
`C_(AB)= C_(0)+C _(med.)`
`= (epsilon_(0)(A)/(2))/(d)+ (epsilon_(0)K(A)/(2))/(d)`
`= (epsilon_(0)A)/(2d) [1+K]`
`C_(AB) = (C)/(2) (1+K)`
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