A solid insulating cylinder of radius a is surrounded by ahollow concentric cond

Question

A solid insulating cylinder of radius a is surrounded by ahollow concentric conducting cylinder of inner radius b and outerradius c. Conducting shell is uncharged. I am having trouble conceptually grasping the electric fieldin between b and c. Also for r>c. I get thatthe charge enclosed between b and c is 0 because the innershell will be the negative of a. Is there an electric fieldin this area?(between b and c). Is the electric field past cjust the same field as a since the shell total charge is zero?thx A solid insulating cylinder of radius a is surrounded by ahollow concentric conducting cylinder of inner radius b and outerradius c. Conducting shell is uncharged. I am having trouble conceptually grasping the electric fieldin between b and c. Also for r>c. I get thatthe charge enclosed between b and c is 0 because the innershell will be the negative of a. Is there an electric fieldin this area?(between b and c). Is the electric field past cjust the same field as a since the shell total charge is zero?thx

Explanation / Answer

1) There is no electric field within the conducting shellbecause if there was a current would flow 2) The induced charge on the inside of the conducting shellequals the charge on the insulating core 3) Gauss' Law holds for all regions       a) between a and b the field isE = / (2 0r) where is thelinear charge density on the inner cylinder       b) between b and c an imaginarycylinder encloses no net charge and the field is zero       c) outside the conductingcylinder the field is E = / (2 0r)since the net linear charge density is still           becausethe induced charge on the inner surface of the conducting cylindercancels the charge on the cylinder         of radiusa leaving a corresponding charge density of on theouter surface of the conducting cylinder Hope this clears that up.

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