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A parallel-plate capacitor of area A,pla...

A parallel-plate capacitor of area A,plate separation d and capacitance C is filled with foue dielectric matertials having dielectric constants k1,k2,k3 and k4 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

`2/k=3/(k_1+k_2+k_3)+1/k_4`

B

`1/k=1/k_1+1/k_2+1/k_3+3/(2k_4)`

C

`k=k_1+k_2+k_3+3k_4`

D

`k=2/3(k_1+k_2+k_3)+2k_4`

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