The potential across the boundary of a dielectric sphere embedded in a dielectric material is continuous, allowing the potential inside the sphere to equal the potential outside at r=R. This continuity is due to the presence of a surface charge density (σp) at the boundary, which generates an electric field similar to that of an infinite sheet of charge. Although the electric field exhibits a discontinuity across the boundary, the change in potential remains infinitesimal, confirming the continuity of potential.
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