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Q.

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

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a

V0V−1

b

V0V+1

c

VV0−1

d

VV0+1

answer is A.

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Detailed Solution

C1=C, V1=V0, C2=KC, V2=0, and Vcommon =VWe know thatVcommon =C1V1+C2V2C1+C2∴V=CV0+KC×OC+KCor K=V0V−1
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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