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 parallel plate capacitor of area A, plate separation d and capacitan

1.	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
Answer» `K=K_(1)+K_(2)+K_(3)+3K_(4)` `K=2/3 (K_(1)+K_(2)+K_(3))+2K_(4)` `2/K=(3)/(K_(1)+K_(2)+K_(3))+1/K_(4)` `1/K=1/K_(1)+1/K_(2)+1/K_(3)+3/(2K_(4))` Answer :C

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