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, ## \sigma_p ##, which creates a finite electric field similar to that of an infinite sheet of charge. Although the electric field exhibits a discontinuity at the boundary, the change in potential across this boundary is infinitesimal. This concept was affirmed in a class debate, highlighting the importance of understanding electric fields and potentials in dielectric materials. The discussion emphasizes the distinction between electric field behavior and potential continuity at boundaries.
