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.