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Question

A parallel plate capacitor has capacitance C. If it is equally filled the parallel of materials of dielectric constant K1 and K2 its capacity becomes C1. The ratio of C1 and C is

A
K1+K2
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B
K1K2K1+K2
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C
K1+K2K1K2
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D
2K1K2K1+K2
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Solution

The correct option is D 2K1K2K1+K2
Capacitance, CA=K1ε0Ad2, CB=K2ε0Ad2
Ceq=C1C2=2K1K2K1+K2
=CACBCA+CB=(2K1K2K1+K2)ε0Ad(e=ε0Ad)

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