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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

A

`C'=(C )/(2) [1+K]`

B

`C'=C[1+K] `

C

`C'=C[1+(K)/(2)]`

D

`C'=C[(1)/(2)+K]`

Text Solution

Verified by Experts

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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Knowledge Check

  • A parallel plate air capacitor has a capacitance C. When it is half filled with a dielectric of dielectric constant 5, the percentage increase in the capacitance will be

    A
    `400%`
    B
    `66.6%`
    C
    `33.3%`
    D
    `200%`

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