Question

1 A cylnder of length 2L has s axrs along the z-axrs and a ciradar coss secton of radhus a, The ongin is at the centerof the cylinder thatis цпН0rmy polarzedm the drech n f the axis, that s P2 where P const. (A) Find the bound charge densmes fb and 0, (b) Fnd the eeemc freldl for all pont on the z as for uwhrch zžo, ce) Ven-fy that your results (b) sattsfy the beunday condiHon (a) From the resut of h). fnd at the origin onan.

Answer 1

0 Given that ongun o f the cylinder is 2L esigin ts at the enter e dhe inde meuv, ue deteamne the bound charge densidties and ond v) is given by- In aglindwical Co-e-dinale system (BP, z) 'Then s as /A

aun (3 nouo, we dletesming the electic field fer. 2 2

Z. dt 4TTE 2- Subst vales i aboe esuatim

C) nous, ue vesity 'thu -3e eulk- ue found in tフazt⑥ usine, the .result of, fa1k⑥ now ue And now ve fin ue have 군 Lin