R +Q r +p Figure 3: r = x² + y2 + z2 3. Sphere with electric charge +Q and infinite sphere at infinity with electric charge -Q. Consider a sphere of radius R field with electric charge of constant density p. (a) What is the units for the charge density p? (b) Express the total charge Q of the sphere in terms of this charge density. (c) Uses Gauss's Law to determine the electric field inside and outside the sphere. Express your answer in two forms: (i)in terms of total charge Q and (ii)in terms of charge density p.
R +Q r +p Figure 3: r = x² + y2 + z2 3. Sphere with electric charge +Q and infinite sphere at infinity with electric charge -Q. Consider a sphere of radius R field with electric charge of constant density p. (a) What is the units for the charge density p? (b) Express the total charge Q of the sphere in terms of this charge density. (c) Uses Gauss's Law to determine the electric field inside and outside the sphere. Express your answer in two forms: (i)in terms of total charge Q and (ii)in terms of charge density p.
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