An uncharged parallel plate capacitor having a dielectric of constant $K$ is connected to a similar air cored parallel capacitor charged to a potential $V$. The two capacitors share charges and the common potential is $V$. The dielectric constant $K$ is
Medium
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(d)
$V^{\prime}=\frac{(K C)(0)+(C)(V)}{K C+C}$
$V^{\prime}=\frac{C V}{K C+C}$
$K V+V^{\prime}=V$
$K V=V^{\prime}-V^{\prime}$
$K=\frac{V-V^{\prime}}{V^{\prime}}$
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