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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

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

B

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

C

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

D

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

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The correct Answer is:
d
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