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Question

Half of the space between a parallel plate capacitor is filled with a medium of dielectric constant K parallel to the plates. If initially the capacity was C. Then the new capacity will be:

A
2KC(1+K)
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B
C(K+1)2
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C
CK(1+K)
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D
KC
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Solution

The correct option is A 2KC(1+K)
REF. Image.
C1=ϵ0A[ϵr1ϵr2d1ϵr1+d2ϵr2]
d1=d2=d/2
ϵr1=k
ϵr2=1
c=ϵ0Ad
c1=ϵ0Ad[2kk+1]
c1=2ckk+1

1124200_1189747_ans_a37bd9cc4e6e46b9b5fd04cbc580da18.PNG

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