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Q.

In absence of dielectric medium, capacity of a parallel plate capacitor is C0. A sheet of dielectric constant K and thickness of one third of the plate separation is inserted between the plates. If new capacity is C, then

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a

CC0=3K2K+1

b

CC0=3K+12K

c

CC0=2K+13K

d

CC0=2K3K+1

answer is A.

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Detailed Solution

Without dielectric C0=ε0Ad

With dielectric C=ε0Ad−d3+d3k=ε0A2d3+d3k

=ε0Ad3k2k+1

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