spherical symmetric charge distribution with radius a and a charge Q > 0. at the

Question

spherical symmetric charge distribution with radius a and a charge Q > 0. at the distance r from the distribution centrum the charge density is ?(r)=Q/4???a?r?2 , 0 the charge distribution makes an elektric field which is pointed radial from the cnetrum og the distribution. and at the distance r from this centrum is E=A1?1/r for 0 E=A2?1/r2 for r>a where A1 and A2 are konstants. the dielectric constant K is 1 everywhere. a) determine the electric potential V(r) everywhre for r>0 the potential is equal to 0 at infinite distance. explain the behavior of the potential at r = a and sketch V(r) for all r>0 b) Specify the electric energy density everywhere in the room and determine the charge density's potential energy

Explanation / Answer

a) V = Q/(4*pi*Eo*b); Eo = perm of free space, R = radius

Gauss's Law. All charges enclosed are used in the calculations. Therefore the net charge appears as zero.

b) Energy density=(0.5)Eo* E*E; at any point E electric filed

c)D = Q/(4*pi*R^2)

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