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A parallel plate capacitor of area A, pl...

A parallel plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials hving dielectric constants `K_(1), K_(2), K_(3)` and `K_(4)` as shown in the figure below. If a single dielectric material is to be used to have the same capacitance c in this capacitor, then its dielectric constant K is given by

A

`k = k_(1) +k_(2) +k_(3) +3k_(4)`

B

`k = (2)/(3) (k_(1)=k_(2) +k_(3)) +2k_(4)`

C

`(2)/(k) = (3)/(k_(1)+k_(2)+k_(3)) +(1)/(k_(4))`

D

`(1)/(k) = (1)/(k_(1)) +(1)/(k_(2)) +(1)/(k_(3)) +(3)/(2k_(4))`

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