Two concentric conducting spheres of inner and outer radii a and b, respectively, carry charges ?Q. The

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Two concentric conducting spheres of inner and outer radii a and b, respectively, carry charges ?Q. The empty space between the spheres is half-filled by a hemispherical shell of dielectric (of dielectric constant ?/?0), as shown in the figure.

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(a) Find the electric field everywhere between the spheres.

(b) Calculate the surface-charge distribution on the inner sphere.

(c) Calculate the polarization-charge density induced on the surface of the dielectric at r = a.

Distribution
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