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

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$\frac{V' - V}{V' + V}$

$\frac{V' - V}{V'}$

$\frac{V' - V}{2V}$

$\frac{V - V'}{V'}$

answer is D.

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Detailed Solution

$Total charge is conserved CV + 0 = V' (kC + C)$

$V = V' k + V'$

$k = \frac{V - V'}{V'}$

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