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Q.

A parallel plate condenser with plate area A and separation d filled with dielectric as shown in fig. The dielectric constants are K1 and K2 respectively. The capacitors will be

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a

ε0AdK1+K2

b

ε0AdK1+K2/K1K2

c

2ε0AdK1K2/K1+K2

d

2ε0AdK1+K2/K1K2

answer is C.

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Detailed Solution

The combination is equivalent to two capacitors in series, each with plate area A and separation d/2.C1=K1ε0A(d/2)=2K1ε0AdC2=K2ε0Ad/2=2K2ε0AdFurther 1C=1C1+1C2Substitute the values of C1 and C2 and obtain C.
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