Question: At the interface between one linear dielectric and another the electric field lines bend (see Fig. 4.34). Show that tan ? 2 /tan ? 1

At the interface between one linear dielectric and another the electric field lines bend (see Fig. 4.34). Show that tan ?2/tan ?1 = ?2/ ?1, (4.68) assuming there is no free charge at the boundary. [Comment: Eq. 4.68 is reminiscent of Snell's law in optics. Would a convex "lens" of dielectric material tend to "focus," or "defocus," the electric field?]

E 0 E 2

E 0 E 2

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