Example 6.2 A point charge q sits at z = -d on the z-axis (Figure 6.8). Find the polarization charge density op(x, y) induced on the plane z = 0 when the half-space z 0 is filled with a medium with dielectric constant KR and the half-space z

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Example 6.2 A point charge q sits at z = -d on the z-axis (Figure 6.8). Find the polarization charge density op(x, y) induced on the plane z = 0 when the half-space z > 0 is filled with a medium with dielectric constant KR and the half-space z < 0 is filled with a medium with dielectric constant KL. q KL 1²0=(x, y) Z Figure 6.8: Two semi-infinite dielectrics meet at a planar interface. A point charge q sits a distance d to the left of the interface. The point ro = (x, y) lies in the z = 0 plane.

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Example 6.2 A point charge

q

sits at

z = ? d

on the

z

-axis (Figure 6.8). Find the polarization charge density

?_{P} (x, y)

induced on the plane

z = 0

when the half-space

z > 0

is filled with a medium with dielectric constant

?_{R}

and the half-space

z < 0

is filled with a medium with dielectric constant

?_{L}

. Figure 6.8: Two semi-infinite dielectrics meet at a planar interface. A point charge

q

sits a distance

d

to the left of the interface. The point

r_{0} = (x, y)

lies in the

z = 0

plane.

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(Solved): Example 6.2 A point charge q sits at z = -d on the z-axis (Figure 6.8). Find the polarization charge ...

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