Question

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1) A sphere of radius R carries a volume charge distribution plr where po is a positive constant. a. Find the electric field, both magnitude and direction, for r < R, and r > R. b. Find the potential for r <R, and r > R. (Take V +0 when r700) plrl=poll

Answer 1

. Given Allume charge - 12) = distribution Poleg to constant Electric field charge inside that of radius & and disc de is aa= S(r) wur² de Electric field dE (6)= da rer 416o &² dE(& & lo r² x ungda ..... 417. fer RS

E(R) : Po An 44 Go R3 Pol YAP Elt) for xe ( E(k)= Port I 46 R3. Direction is outward Elro a @ 416 r² o is the charge inside Ephere 0 = f(x2x . TuR. Po ( 4 t 1 & ² Electric field Flo = yn Porr 3x Un tot | ELE) 1 : So for 3 to 1 ) de = t e lo Go R3 r 5 Potential - V(r) for 46R²) (r2 = Pors 20 Go R3 Ner) : To it (check Nalw The the of once + c acain 36.2 for rR 210/19 Plz like