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Question

An uncharged parallel-plate capacitor having a dielectric of dielectric constant K is connected to a similar air cored parallel-plate capacitor charged to a potential V0. The two share the charge and the common potential becomes V. The dielectric constant K is

A
V0V1
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B
V0V+1
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C
VV01
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D
VV0+1
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Solution

The correct option is A V0V1
From given,
VAB=V
V=CV0C+C=CV0KC+C=CV0C(K+1)
V=V0(K+1)
K+1=V0V

K=V0V1


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