Consider the diagram,

A parallel plate capacitor has the plate width t and length L while the separation between the plates is d. The capacitor is connected to a battery of voltage rating V. A dielectric which carefully occupy, the space between the plates of the capacitor is slowly inserted between the plates. When length x of the dielectric slab is introduced into the capacitor, then energy stored in the system is
Text Solution
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When length
of the dielectric slab is placed between the plates of the capacitors, then

and similarly
Net capacitance,
Thus, energy stored in the capacitor,

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