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Q.

A rectangular parallel-plate capacitor has a dielectric slab that partially fills the space between the plates as shown in fig. The energy of the capacitor with charge q is

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a

q2S2ε0b×1[Ka−(K−1)x]

b

q2Sε0b×1[Ka−(K−1)x]

c

q2S2ε0b[Ka−(K−1)x]

d

q2S2ε0b1Ka−1(K−1)x

answer is A.

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Detailed Solution

C=ε0bxS+Kε0b(a−x)S=ε0bS[x+K(a−x)]=ε0bS[Ka−(K−1)x]∴U=12q2C=q2S2ε0b1[Ka−(K−1)x]
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