The plates of a parallel plate capacitor are charged upto 100V.A 2mm thick insulator shunt is inserted between the plates . Then to maintain the same potential difference ,the distance between the same potential difference , the distance between the capacitor plates is increased by 1.6mm.The dielectric constant of the insulator is
5
8
4
6
A
5
B
8
C
4
D
6
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Solution
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Here,V=100V and t=2mm As V=qc and V and q remain unchanged , therefore C must be constant ie, Ci=Cf ε0Ad=ε0Ad+1.6−t+tk ∴1.6−t+tk=0 As t=2mm,therefore 1.6−2+2k=0 or 2k=0.4 ∴k=20.4=5
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