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Example 4.8. Suppose the entire region below the plane : = 0 in Fig. 4.28 is filled with uniform linear dielectric material of susceptibility y,

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Example 4.8. Suppose the entire region below the plane : = 0 in Fig. 4.28 is filled with uniform linear dielectric material of susceptibility y, Calculate the force on a point charge q situated a distance d above the origin. "Remember. Please) - cold, and the coefficients must be equal for each /, as you could prove by multiplying by Pocono) sing. integrating from 0 for, and invoking the orthogonality of the Legendre polynomials (Eq. 1,68) 4.4 Linear Dielectrics 195 FIGURE 4.28 O AProblem 4.25 Suppose the region above the xy plane in Ex. 4.8 is also filled with linear dielectric but of a different susceptibility x. Find the potential everywhere

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