1.

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

Answer»

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

SOLUTION :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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