Following operations can be performed on a capacitor : $X$ - connect the capacitor to a battery of $emf$ $E.$ $Y$ - disconnect the battery $Z$ - reconnect the battery with polarity reversed. $W$ - insert a dielectric slab in the capacitor
Diffcult
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In $XWY,$ charge on capacitor plate $=KCE$
In $XYW,$ charge on capacitor plate $= CE$
$\ln \mathrm{WXY}, \mathrm{U}=\frac{1}{2} \mathrm{KCE}^{2}$
$\ln X Y W, U=\frac{C E^{2}}{2 K}$
$2$ both cases, electric field $=\frac{E}{d}$
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