A sphere of radius R carries a static radial polarization density P(r) = kr, r < R where k is a constant and r is the radial vector from the center of the sphere. (a) What are the dimensional units of the constant k? (b) Calculate the surface areal bound charge density o(R, 0, o) and the volume boune charge density p(r). (c) Find the electric field inside and outside the sphere.
A sphere of radius R carries a static radial polarization density P(r) = kr, r < R where k is a constant and r is the radial vector from the center of the sphere. (a) What are the dimensional units of the constant k? (b) Calculate the surface areal bound charge density o(R, 0, o) and the volume boune charge density p(r). (c) Find the electric field inside and outside the sphere.
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Transcribed Image Text:A sphere of radius R carries a static radial polarization density
P(r) = kr,
r< R
where k is a constant and r is the radial vector from the center of the sphere.
(a) What are the dimensional units of the constant k?
(b) Calculate the surface areal bound charge density o(R, 0, 0) and the volume bound
charge density p(r).
(c) Find the electric field inside and outside the sphere.
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