Effective capacitance of a pair of media

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Prajwal
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The force of repulsion between two identical point charges when kept with a separation r in air is F. Half the gap between the two charges is filled by a dielectric slab of dielectric constant K=4. What is the new force of repulsion between the two charges?
This is the question.

Now if I solve it by finding effective distance between the two charges(using the formula r(effective) =r sqrt(K)) ... I get answer as 4/9 *F.

But if I solve by finding effective capacitance of the two media (by applying formula for capacitors in series and finding effective capacitance by using K=C'/C).. I get the answer as 5/8 *F

Why am I getting different answers? Is there some flaw in my methods?
 
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