Question: A radial electric field distribution in free space is given in spherical coordinates as: where Ï 0 , a, and b are constants. (a) Determine

A radial electric field distribution in free space is given in spherical coordinates as:

гро a, Зео E1 (r < a) (2а3 — г3)ро E2 (a <r <b) ar Зео г2 (2а3 — ь3)ро a, Eз (r > b) Зео г2


where ρ0, a, and b are constants.

(a) Determine the volume charge density in the entire region (0 ‰¤ r ‰¤ ˆž) by the appropriate use of ˆ‡ · D = ρv.

(b) In terms of given parameters, find the total charge, Q, within a sphere of radius r where r > b.

a, E1 (r < a) (23 3) E2 (a

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