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A parallel plate condenser of capacity 5µF is kept connected to a battery of emf 10v. If the space between the plates is filled with a medium of dielectric constant 12, then the additional charge taken from the battery is

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450µc

400µc

550µc

500µc

answer is D.

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Detailed Solution

$\begin{array}{l} Q = CV = 5 \times 10 = 50 μC \\ Q^{1} = C^{1} V = KCV = 12 \times 5 \times 10^{- 6} \times 10 = 600 μC \end{array}$
Additional charge $= Q^{1} - Q = 600 - 50 = 550 μC$

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