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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 three different dielectric materials having dielectric constants `k_1`, `k_2` and `k_3` as shown. If a isngle dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectic constant k is given by

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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