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Question

How does the potential difference across the plates and energy stored in the parallel plate capacitors change when medium of dielectric constant k is introduced between the plates?

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Solution

When a dielectric slab is introduced inbetween the plates of a charged capacitor with battery connected across the plates, then
Potential V remains constant, V = V0
Energy stored in the capacitor, U increases, U = 1/2 CV2 = KU0

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