First slide
Capacitance
Question

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
 

Difficult
Solution

C=ε0bxS+0b(ax)S=ε0bS[x+K(ax)]=ε0bS[Ka(K1)x]U=12q2C=q2S2ε0b1[Ka(K1)x]

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